[{"id": "def-def-1-1", "type": "def", "ch": "01", "num": "Définition 1.1", "front": "approche par le coût", "back": "<p id=\"p1-19\">L'<strong>approche par le coût</strong> estime la valeur d'une propriété en additionnant la <strong>valeur du terrain</strong>, évaluée séparément comme s'il était vacant, et le <strong>coût de construction à neuf</strong> des améliorations, duquel on soustrait toute forme de <strong>dépréciation</strong> (physique, fonctionnelle et externe).</p>", "url": "/seance/01/#def-1-1"}, {"id": "def-def-1-2", "type": "def", "ch": "01", "num": "Définition 1.2", "front": "principe de substitution", "back": "<p id=\"p1-26\">Un acheteur rationnel et informé ne paiera pas plus pour une propriété que le coût d'acquisition d'un <strong>substitut équivalent</strong>, que ce substitut soit obtenu par l'achat d'une propriété existante comparable ou par la construction d'une propriété neuve rendant les mêmes services.</p>", "url": "/seance/01/#def-1-2"}, {"id": "def-def-1-3", "type": "def", "ch": "01", "num": "Définition 1.3", "front": "principe de contribution", "back": "<p id=\"p1-33\">La valeur d'une composante d'une propriété se mesure par sa <strong>contribution à la valeur totale</strong> de l'ensemble, et non par son coût de construction individuel.</p>", "url": "/seance/01/#def-1-3"}, {"id": "def-def-1-4", "type": "def", "ch": "01", "num": "Définition 1.4", "front": "propriété à usage spécial", "back": "<p id=\"p1-66\">Propriété conçue pour un usage unique ou très spécialisé, rarement échangée sur le marché libre : églises et lieux de culte, écoles, hôpitaux, postes de pompiers, aéroports, musées, bibliothèques.</p>", "url": "/seance/01/#def-1-4"}, {"id": "def-def-2-1", "type": "def", "ch": "02", "num": "Définition 2.1", "front": "coût", "back": "<p id=\"p2-9\">Le <strong>coût</strong> (<em>cost</em>) est le montant total des dépenses nécessaires pour créer ou produire un bien immobilier : matériaux, main-d'œuvre, frais indirects et profit du producteur. Il est tourné vers le passé (coût historique) ou le présent (coût actuel de production).</p>", "url": "/seance/02/#def-2-1"}, {"id": "def-def-2-2", "type": "def", "ch": "02", "num": "Définition 2.2", "front": "prix", "back": "<p id=\"p2-13\">Le <strong>prix</strong> (<em>price</em>) est le montant effectivement payé lors d'une transaction conclue. C'est un fait accompli, observable (acte de vente, Registre foncier), qui reflète les conditions particulières de la vente et les motivations des parties.</p>", "url": "/seance/02/#def-2-2"}, {"id": "def-def-2-3", "type": "def", "ch": "02", "num": "Définition 2.3", "front": "valeur marchande", "back": "<p id=\"p2-17\">La <strong>valeur</strong> (<em>value</em>), au sens de la valeur marchande, est une <strong>estimation</strong> du prix le plus probable qu'obtiendrait un bien sur un marché libre et ouvert, entre des parties informées, prudentes et non contraintes, après un délai de mise en marché raisonnable.</p>", "url": "/seance/02/#def-2-3"}, {"id": "def-def-2-4", "type": "def", "ch": "02", "num": "Définition 2.4", "front": "coût de reproduction", "back": "<p id=\"p2-25\">Le <strong>coût de reproduction</strong> (<em>reproduction cost</em>) est le coût estimé pour construire, aux prix courants, une <strong>réplique exacte</strong> du bâtiment existant : mêmes matériaux, mêmes normes de construction, même conception architecturale, même qualité d'exécution — défauts compris.</p>", "url": "/seance/02/#def-2-4"}, {"id": "def-def-2-5", "type": "def", "ch": "02", "num": "Définition 2.5", "front": "coût de remplacement", "back": "<p id=\"p2-26\">Le <strong>coût de remplacement</strong> (<em>replacement cost</em>) est le coût estimé pour construire, aux prix courants, un bâtiment d'<strong>utilité équivalente</strong>, avec des matériaux et des techniques modernes, conformément aux normes actuelles du Code de construction du Québec.</p>", "url": "/seance/02/#def-2-5"}, {"id": "def-def-2-6", "type": "def", "ch": "02", "num": "Définition 2.6", "front": "coûts directs", "back": "<p id=\"p2-41\">Les <strong>coûts directs</strong> sont les dépenses directement liées à la construction physique du bâtiment : matériaux, main-d'œuvre, sous-traitants, équipement de chantier, supervision et préparation du site. Ils constituent la <strong>base de calcul</strong> des coûts indirects et du profit.</p>", "url": "/seance/02/#def-2-6"}, {"id": "def-def-2-7", "type": "def", "ch": "02", "num": "Définition 2.7", "front": "coûts indirects", "back": "<p id=\"p2-45\">Les <strong>coûts indirects</strong> sont les dépenses nécessaires à la réalisation du projet mais non directement liées à la construction physique : honoraires professionnels, permis, taxes non récupérables, assurances de chantier, financement intérimaire, frais légaux, administration et mise en marché. Ils représentent typiquement <strong>15 à 25 % des coûts directs</strong>.</p>", "url": "/seance/02/#def-2-7"}, {"id": "def-def-2-8", "type": "def", "ch": "02", "num": "Définition 2.8", "front": "profit entrepreneurial", "back": "<p id=\"p2-49\">Le <strong>profit entrepreneurial</strong> (<em>entrepreneurial profit</em>) est la rémunération que le promoteur s'attend à recevoir pour le risque, la coordination et l'expertise investis dans le projet. Il se calcule typiquement à <strong>8–15 % de la somme (coûts directs <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>+</mo></mrow><annotation encoding=\"application/x-tex\">+</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6667em;vertical-align:-0.0833em;\"></span><span class=\"mord\">+</span></span></span></span> coûts indirects)</strong> et <strong>fait partie du coût neuf</strong> : sans lui, personne n'entreprendrait le projet.</p>", "url": "/seance/02/#def-2-8"}, {"id": "def-def-2-9", "type": "def", "ch": "02", "num": "Définition 2.9", "front": "NUPPEC", "back": "<p id=\"p2-59\">Les <strong>Normes uniformes de pratique professionnelle en évaluation au Canada</strong> (NUPPEC) sont la version française des <em>CUSPAP</em> publiées par l'Appraisal Institute of Canada (AIC); l'édition en vigueur est celle de 2026 <span class=\"citation\">(<a class=\"cite\" href=\"/bibliographie/#cuspap2026\" data-cite=\"cuspap2026\">Appraisal Institute of Canada, 2026</a>)</span>.</p>", "url": "/seance/02/#def-2-9"}, {"id": "def-def-3-1", "type": "def", "ch": "03", "num": "Définition 3.1", "front": "principe du terrain vacant", "back": "<p id=\"p3-10\">Le terrain s'évalue comme s'il était <strong>vacant et disponible</strong> pour être développé à son usage le plus profitable — son <strong>plus haut et meilleur usage</strong> (PHMU) —, en faisant abstraction des améliorations existantes, même lorsqu'il est bâti.</p>", "url": "/seance/03/#def-3-1"}, {"id": "def-def-3-2", "type": "def", "ch": "03", "num": "Définition 3.2", "front": "comparaison directe (terrain)", "back": "<p id=\"p3-17\">La méthode de comparaison directe estime la valeur d'un terrain en analysant les prix de vente de <strong>terrains vacants similaires récemment vendus</strong>, ajustés pour les différences avec le terrain sujet.</p>", "url": "/seance/03/#def-3-2"}, {"id": "def-def-3-3", "type": "def", "ch": "03", "num": "Définition 3.3", "front": "méthode d'extraction", "back": "<p id=\"p3-38\">La méthode d'<strong>extraction</strong> (ou d'abstraction) estime la valeur du terrain en soustrayant du prix de vente total d'une propriété <strong>améliorée</strong> la valeur dépréciée de ses améliorations : <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>V</mi><mtext>terrain</mtext></msub><mo>=</mo><mtext>Prix de vente</mtext><mo>−</mo><mo stretchy=\"false\">(</mo><msub><mi>C</mi><mtext>neuf</mtext></msub><mo>−</mo><msub><mi>D</mi><mtext>totale</mtext></msub><mo stretchy=\"false\">)</mo></mrow><annotation encoding=\"application/x-tex\">V_{\\text{terrain}} = \\text{Prix de vente} - (C_{\\text{neuf}} -\nD_{\\text{totale}})</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">terrain</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7778em;vertical-align:-0.0833em;\"></span><span class=\"mord text\"><span class=\"mord\">Prix de vente</span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mopen\">(</span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">neuf</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\">)</span></span></span></span>.</p>", "url": "/seance/03/#def-3-3"}, {"id": "def-def-3-4", "type": "def", "ch": "03", "num": "Définition 3.4", "front": "méthode d'affectation", "back": "<p id=\"p3-46\">La méthode d'<strong>affectation</strong> (<em>allocation method</em>) applique à la valeur totale d'une propriété un <strong>ratio typique</strong> terrain/valeur totale observé sur le marché : <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>V</mi><mtext>terrain</mtext></msub><mo>=</mo><msub><mi>V</mi><mtext>totale</mtext></msub><mo>×</mo><msub><mi>R</mi><mtext>terrain/total</mtext></msub></mrow><annotation encoding=\"application/x-tex\">V_{\\text{terrain}} = V_{\\text{totale}} \\times\nR_{\\text{terrain/total}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">terrain</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.0385em;vertical-align:-0.3552em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0077em;\">R</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3448em;\"><span style=\"top:-2.5198em;margin-left:-0.0077em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">terrain/total</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3552em;\"><span></span></span></span></span></span></span></span></span></span>.</p>", "url": "/seance/03/#def-3-4"}, {"id": "def-def-3-5", "type": "def", "ch": "03", "num": "Définition 3.5", "front": "analyse de lotissement", "back": "<p id=\"p3-51\">L'<strong>analyse de lotissement</strong> (<em>subdivision development method</em>) évalue un grand terrain subdivisible en soustrayant des revenus anticipés de la vente des lots tous les coûts de développement, le profit du promoteur et le coût du temps (actualisation sur la période d'absorption). Le solde est la valeur résiduelle du terrain brut.</p>", "url": "/seance/03/#def-3-5"}, {"id": "def-def-3-6", "type": "def", "ch": "03", "num": "Définition 3.6", "front": "résidu foncier", "back": "<p id=\"p3-59\">La technique du <strong>résidu foncier</strong> (<em>land residual technique</em>) isole le revenu net attribuable au terrain en soustrayant du revenu net d'exploitation (RNE) le rendement requis par les améliorations, puis capitalise ce résidu au taux du terrain :</p>\n<div class=\"eq\" id=\"eq-3-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>V</mi><mtext>terrain</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mfrac><mrow><mtext>RNE</mtext><mo>−</mo><mo stretchy=\"false\">(</mo><msub><mi>V</mi><mrow><mtext>b</mtext><mover accent=\"true\"><mtext>a</mtext><mo>ˆ</mo></mover><mtext>timent</mtext></mrow></msub><mo>×</mo><msub><mi>R</mi><mi>b</mi></msub><mo stretchy=\"false\">)</mo></mrow><msub><mi>R</mi><mi>t</mi></msub></mfrac></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(3.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">V_{\\text{terrain}} \\;=\\;\n\\frac{\\text{RNE} - (V_{\\text{bâtiment}} \\times R_b)}{R_t}\\tag{3.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">terrain</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.263em;vertical-align:-0.836em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.427em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0077em;\">R</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.0077em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">RNE</span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mopen\">(</span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">b</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">a</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˆ</span></span></span></span></span></span></span><span class=\"mord mtight\">timent</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0077em;\">R</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0077em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">b</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\">)</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.836em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.263em;vertical-align:-0.836em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">3.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p3-60\">où <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>R</mi><mi>b</mi></msub></mrow><annotation encoding=\"application/x-tex\">R_b</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0077em;\">R</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0077em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">b</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> est le taux de rendement du bâtiment (rendement <em>sur</em> et <em>de</em> l'investissement — il inclut la récupération du capital) et <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>R</mi><mi>t</mi></msub></mrow><annotation encoding=\"application/x-tex\">R_t</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0077em;\">R</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.0077em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> le taux de capitalisation du terrain.</p>", "url": "/seance/03/#def-3-6"}, {"id": "def-def-4-1", "type": "def", "ch": "04", "num": "Définition 4.1", "front": "façade et profondeur", "back": "<p id=\"p4-30\">La <strong>façade</strong> (<em>frontage</em>) est la largeur du terrain donnant sur la rue. La <strong>profondeur</strong> est la distance de la ligne de rue au fond du terrain. Le rapport profondeur/façade situe le terrain par rapport au standard du secteur, généralement de 2:1 à 3:1 en résidentiel.</p>", "url": "/seance/04/#def-4-1"}, {"id": "def-def-4-2", "type": "def", "ch": "04", "num": "Définition 4.2", "front": "règle de Harper (4-3-2-1)", "back": "<p id=\"p4-32\">La règle de Harper répartit la valeur d'un terrain selon la profondeur : en divisant la profondeur standard en quatre quarts égaux, le premier quart (côté rue) porte <strong>40 %</strong> de la valeur, le deuxième <strong>30 %</strong>, le troisième <strong>20 %</strong> et le dernier <strong>10 %</strong>.</p>", "url": "/seance/04/#def-4-2"}, {"id": "def-def-4-3", "type": "def", "ch": "04", "num": "Définition 4.3", "front": "hiérarchie normative de l'aménagement", "back": "<p id=\"p4-43\">Au Québec, l'encadrement de l'utilisation du sol suit trois paliers emboîtés. Le <strong>gouvernement du Québec</strong> fixe le cadre général par la <em>Loi sur l'aménagement et l'urbanisme</em> (LAU); la <strong>MRC</strong> ou la communauté métropolitaine le décline dans son <em>schéma d'aménagement et de développement</em> (SAD), auquel les règlements locaux doivent se conformer; enfin, la <strong>municipalité</strong> traduit le tout dans son plan d'urbanisme et son <em>règlement de zonage</em>, seul document qui s'applique lot par lot — c'est donc lui que l'évaluateur consulte en premier.</p>", "url": "/seance/04/#def-4-3"}, {"id": "def-def-4-4", "type": "def", "ch": "04", "num": "Définition 4.4", "front": "COS et taux d'implantation", "back": "<p id=\"p4-45\">Le <strong>coefficient d'occupation du sol</strong> (COS) est le rapport entre la superficie totale de plancher et la superficie du terrain. Le <strong>taux d'implantation</strong> est le rapport entre l'emprise au sol du bâtiment et la superficie du terrain. Les <strong>marges</strong> (avant, latérales, arrière) fixent les distances minimales aux limites du lot.</p>", "url": "/seance/04/#def-4-4"}, {"id": "def-def-4-5", "type": "def", "ch": "04", "num": "Définition 4.5", "front": "règle fondamentale de l'ajustement", "back": "<p id=\"p4-73\">On ajuste toujours le <strong>comparable vers le sujet</strong>, jamais l'inverse. Le comparable a un prix connu que l'on corrige; le sujet n'a pas de prix — c'est sa valeur qu'on cherche. Conséquence directe : un comparable <strong>supérieur</strong> au sujet reçoit un ajustement <strong>négatif</strong>; un comparable <strong>inférieur</strong> reçoit un ajustement <strong>positif</strong>.</p>", "url": "/seance/04/#def-4-5"}, {"id": "def-def-4-6", "type": "def", "ch": "04", "num": "Définition 4.6", "front": "analyse par paires (<em>paired sales analysis</em>)", "back": "<p id=\"p4-77\">Technique consistant à isoler l'effet d'une seule variable en comparant deux ventes qui ne diffèrent que par cette variable : l'écart de prix, corrigé des différences résiduelles mineures, mesure la contribution marchande de la variable.</p>", "url": "/seance/04/#def-4-6"}, {"id": "def-def-5-1", "type": "def", "ch": "05", "num": "Définition 5.1", "front": "coût, prix, valeur", "back": "<p id=\"p5-10\">Le <strong>coût</strong> est la dépense engagée pour <em>produire</em> un bien : un montant objectif et mesurable, tourné vers le présent ou le passé. Le <strong>prix</strong> est le montant effectivement <em>payé</em> lors d'une transaction : un fait historique, qui peut s'écarter de la valeur. La <strong>valeur</strong> est une notion économique : l'estimation, par un évaluateur, du prix le plus probable sur un marché libre — une opinion motivée, non un fait.</p>", "url": "/seance/05/#def-5-1"}, {"id": "def-def-5-2", "type": "def", "ch": "05", "num": "Définition 5.2", "front": "coût de reproduction (<em>reproduction cost</em>)", "back": "<p id=\"p5-14\">Coût de création d'une <strong>réplique exacte</strong> du bâtiment existant, en utilisant les <strong>mêmes matériaux</strong>, la même conception, les mêmes normes de construction et la même qualité d'exécution — y compris toutes les <strong>déficiences et obsolescences</strong> de l'original.</p>", "url": "/seance/05/#def-5-2"}, {"id": "def-def-5-3", "type": "def", "ch": "05", "num": "Définition 5.3", "front": "coût de remplacement (<em>replacement cost</em>)", "back": "<p id=\"p5-20\">Coût de construction d'un bâtiment offrant la <strong>même utilité</strong> que le bâtiment existant, en utilisant des <strong>matériaux et des techniques modernes</strong>, conformément aux <strong>normes de construction actuelles</strong>.</p>", "url": "/seance/05/#def-5-3"}, {"id": "def-def-5-4", "type": "def", "ch": "05", "num": "Définition 5.4", "front": "principe de la date d'évaluation", "back": "<p id=\"p5-32\">Le coût de construction doit être estimé <strong>à la date d'évaluation</strong> — ni à la date de construction réelle du bâtiment, ni à une date future.</p>", "url": "/seance/05/#def-5-4"}, {"id": "def-def-6-1", "type": "def", "ch": "06", "num": "Définition 6.1", "front": "méthode comparative", "back": "<p id=\"p6-12\">Estimer le coût neuf en multipliant la superficie du bâtiment par un coût unitaire dérivé de constructions récentes comparables :</p>\n<div class=\"eq\" id=\"eq-6-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>C</mi><mtext>neuf</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mi>S</mi><mo>×</mo><msub><mi>c</mi><mrow><mi mathvariant=\"normal\">$</mi><mi mathvariant=\"normal\">/</mi><msup><mtext>pi</mtext><mn>2</mn></msup></mrow></msub><mi mathvariant=\"normal\">.</mi></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(6.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">C_{\\text{neuf}} \\;=\\; S \\times c_{\\$/\\text{pi}^2}.\\tag{6.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">neuf</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7667em;vertical-align:-0.0833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">S</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8035em;vertical-align:-0.3729em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\">c</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3448em;\"><span style=\"top:-2.5021em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">$/</span><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">pi</span></span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7753em;\"><span style=\"top:-2.815em;margin-right:0.0714em;\"><span class=\"pstrut\" style=\"height:2.5em;\"></span><span class=\"katex-sizing reset-size3 size1 mtight\"><span class=\"mord mtight\">2</span></span></span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3729em;\"><span></span></span></span></span></span></span><span class=\"mord\">.</span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.1229em;vertical-align:-0.3729em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">6.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/06/#def-6-1"}, {"id": "def-def-6-2", "type": "def", "ch": "06", "num": "Définition 6.2", "front": "Quantity Survey", "back": "<p id=\"p6-30\">Décomposer la construction en chacun de ses postes de travail, quantifier les matériaux et la main-d'œuvre, puis appliquer les prix unitaires courants :</p>\n<div class=\"eq\" id=\"eq-6-2\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>C</mi><mtext>neuf</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><munderover><mo>∑</mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover><msub><mi>Q</mi><mi>i</mi></msub><mo>×</mo><msub><mi>P</mi><mi>i</mi></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><msub><mi>C</mi><mtext>indirects</mtext></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><mtext>Profit</mtext></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(6.2)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">C_{\\text{neuf}} \\;=\\; \\sum_{i=1}^{n} Q_i \\times P_i\n\\;+\\; C_{\\text{indirects}} \\;+\\; \\text{Profit}\\tag{6.2}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">neuf</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.9291em;vertical-align:-1.2777em;\"></span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.6514em;\"><span style=\"top:-1.8723em;margin-left:0em;\"><span class=\"pstrut\" style=\"height:3.05em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i</span><span class=\"mrel mtight\">=</span><span class=\"mord mtight\">1</span></span></span></span><span style=\"top:-3.05em;\"><span class=\"pstrut\" style=\"height:3.05em;\"></span><span><span class=\"mop op-symbol large-op\">∑</span></span></span><span style=\"top:-4.3em;margin-left:0em;\"><span class=\"pstrut\" style=\"height:3.05em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.2777em;\"><span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\">Q</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">indirects</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"></span><span class=\"mord text\"><span class=\"mord\">Profit</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.9291em;vertical-align:-1.2777em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">6.2</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p6-31\">où <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>Q</mi><mi>i</mi></msub></mrow><annotation encoding=\"application/x-tex\">Q_i</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\">Q</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> est la quantité du poste <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>i</mi></mrow><annotation encoding=\"application/x-tex\">i</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6595em;\"></span><span class=\"mord mathnormal\">i</span></span></span></span> et <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>P</mi><mi>i</mi></msub></mrow><annotation encoding=\"application/x-tex\">P_i</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> son prix unitaire.</p>", "url": "/seance/06/#def-6-2"}, {"id": "def-def-6-3", "type": "def", "ch": "06", "num": "Définition 6.3", "front": "méthode par composantes", "back": "<p id=\"p6-49\">Décomposer le bâtiment en grandes composantes (fondations, structure, toiture, plomberie, etc.) et appliquer à chacune un <strong>coût installé</strong> — matériaux, main-d'œuvre et frais généraux de chantier compris :</p>\n<div class=\"eq\" id=\"eq-6-4\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>C</mi><mtext>neuf</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><munderover><mo>∑</mo><mrow><mi>j</mi><mo>=</mo><mn>1</mn></mrow><mi>m</mi></munderover><msub><mi>S</mi><mi>j</mi></msub><mo>×</mo><msub><mi>C</mi><mi>j</mi></msub></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(6.4)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">C_{\\text{neuf}} \\;=\\; \\sum_{j=1}^{m} S_j \\times C_j\\tag{6.4}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">neuf</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:3.0652em;vertical-align:-1.4138em;\"></span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.6514em;\"><span style=\"top:-1.8723em;margin-left:0em;\"><span class=\"pstrut\" style=\"height:3.05em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j</span><span class=\"mrel mtight\">=</span><span class=\"mord mtight\">1</span></span></span></span><span style=\"top:-3.05em;\"><span class=\"pstrut\" style=\"height:3.05em;\"></span><span><span class=\"mop op-symbol large-op\">∑</span></span></span><span style=\"top:-4.3em;margin-left:0em;\"><span class=\"pstrut\" style=\"height:3.05em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">m</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.4138em;\"><span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">S</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-left:-0.0576em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:3.0652em;vertical-align:-1.4138em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">6.4</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p6-50\">où <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>S</mi><mi>j</mi></msub></mrow><annotation encoding=\"application/x-tex\">S_j</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">S</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-left:-0.0576em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span></span> est la quantité de la composante <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>j</mi></mrow><annotation encoding=\"application/x-tex\">j</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.854em;vertical-align:-0.1944em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.0572em;\">j</span></span></span></span> et <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>C</mi><mi>j</mi></msub></mrow><annotation encoding=\"application/x-tex\">C_j</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span></span> son coût installé unitaire. Aussi appelée <em>Segregated Cost Method</em> ou <em>Unit-in-Place</em>; c'est la base de la méthode Marshall &amp; Swift.</p>", "url": "/seance/06/#def-6-3"}, {"id": "def-def-7-1", "type": "def", "ch": "07", "num": "Définition 7.1", "front": "coûts directs", "back": "<p id=\"p7-11\">Les <span class=\"motcle\" data-term=\"coûts directs\">coûts directs</span> (aussi appelés <em>hard costs</em>) sont l'ensemble des dépenses directement liées à la <strong>construction physique</strong> du bâtiment : les matériaux de construction, la main-d'œuvre affectée au chantier (salaires et avantages sociaux), l'équipement de chantier, les sous-traitants spécialisés et la supervision directe des travaux.</p>", "url": "/seance/07/#def-7-1"}, {"id": "def-def-7-2", "type": "def", "ch": "07", "num": "Définition 7.2", "front": "enveloppe du bâtiment", "back": "<p id=\"p7-42\">L'<span class=\"motcle\" data-term=\"enveloppe\">enveloppe</span> est la barrière physique entre l'intérieur et l'extérieur du bâtiment. Elle assure la protection contre les intempéries, l'isolation thermique et l'étanchéité à l'air. Elle regroupe les murs extérieurs et leur revêtement, l'isolation, la toiture (revêtement), ainsi que les fenêtres et portes extérieures. Elle représente typiquement <strong>22 à 28 %</strong> des coûts directs — le poste le plus lourd.</p>", "url": "/seance/07/#def-7-2"}, {"id": "def-def-7-3", "type": "def", "ch": "07", "num": "Définition 7.3", "front": "finitions intérieures", "back": "<p id=\"p7-65\">Les <span class=\"motcle\" data-term=\"finitions intérieures\">finitions intérieures</span> regroupent tous les éléments visibles à l'intérieur du bâtiment : cloisons, revêtements de sol, peinture, armoires, comptoirs, moulures, portes intérieures et quincaillerie. Elles représentent <strong>15 à 20 %</strong> des coûts directs.</p>", "url": "/seance/07/#def-7-3"}, {"id": "def-def-7-4", "type": "def", "ch": "07", "num": "Définition 7.4", "front": "finitions extérieures", "back": "<p id=\"p7-75\">Les <span class=\"motcle\" data-term=\"finitions extérieures\">finitions extérieures</span> regroupent les aménagements situés <strong>hors de l'enveloppe</strong> : entrée de garage, terrasses et patios, clôtures, aménagement paysager, trottoirs, balcons, remises et piscines. Elles représentent <strong>5 à 8 %</strong> des coûts directs.</p>", "url": "/seance/07/#def-7-4"}, {"id": "def-def-7-5", "type": "def", "ch": "07", "num": "Définition 7.5", "front": "équipements spécialisés", "back": "<p id=\"p7-79\">Installations non standard qui ajoutent des fonctionnalités particulières au bâtiment; elles comptent pour <strong>3 à 7 %</strong> des coûts directs.</p>", "url": "/seance/07/#def-7-5"}, {"id": "def-def-8-1", "type": "def", "ch": "08", "num": "Définition 8.1", "front": "coûts indirects", "back": "<p id=\"p8-9\">Les <span class=\"motcle\" data-term=\"coûts indirects\">coûts indirects</span> (ou <em>soft costs</em>) sont toutes les dépenses nécessaires à la réalisation d'un projet de construction <strong>autres que</strong> les coûts directs de main-d'œuvre, de matériaux et d'équipement de chantier. Ils représentent typiquement <strong>15 à 25 % des coûts directs</strong>, et peuvent dépasser <strong>30 %</strong> pour des projets complexes ou spécialisés.</p>", "url": "/seance/08/#def-8-1"}, {"id": "def-def-8-2", "type": "def", "ch": "08", "num": "Définition 8.2", "front": "honoraires professionnels", "back": "<p id=\"p8-17\">Rémunération des professionnels impliqués dans la <strong>conception</strong>, la <strong>surveillance</strong> et la <strong>gestion</strong> du projet de construction : architecte, ingénieurs, arpenteur-géomètre, gestionnaire de projet, évaluateur agréé. C'est la composante la plus importante des coûts indirects.</p>", "url": "/seance/08/#def-8-2"}, {"id": "def-def-8-3", "type": "def", "ch": "08", "num": "Définition 8.3", "front": "taxes de vente sur la construction neuve", "back": "<p id=\"p8-38\">La construction neuve est assujettie à la <strong>TPS</strong> fédérale (5 %) et à la <strong>TVQ</strong> québécoise (9,975 %), soit <strong>14,975 %</strong> au total. Leur traitement dans le coût de remplacement dépend toutefois du <strong>statut fiscal</strong> de l'immeuble : occupant, locatif ou commercial.</p>", "url": "/seance/08/#def-8-3"}, {"id": "def-def-8-4", "type": "def", "ch": "08", "num": "Définition 8.4", "front": "profit entrepreneurial", "back": "<p id=\"p8-57\">Le <span class=\"motcle\" data-term=\"profit entrepreneurial\">profit entrepreneurial</span> (ou profit du promoteur) rémunère le promoteur-développeur pour : le <strong>risque</strong> assumé dans le projet, le <strong>temps</strong> consacré à la coordination, le <strong>coût d'opportunité</strong> du capital immobilisé et l'<strong>expertise</strong> apportée. Il se distingue du profit de l'entrepreneur général, déjà inclus dans les coûts directs.</p>", "url": "/seance/08/#def-8-4"}, {"id": "def-def-9-1", "type": "def", "ch": "09", "num": "Définition 9.1", "front": "dépréciation", "back": "<p id=\"p9-10\">La <span class=\"motcle\" data-term=\"dépréciation\">dépréciation</span> est la <strong>perte de valeur</strong> d'une amélioration par rapport à son coût de reproduction ou de remplacement à neuf, mesurée <strong>à la date d'évaluation</strong> :</p>\n<div class=\"eq\" id=\"eq-9-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mtext>totale</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>C</mi><mtext>neuf</mtext></msub><mtext>  </mtext><mo>−</mo><mtext>  </mtext><msub><mi>V</mi><mrow><mtext>am</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>liorations contributrices</mtext></mrow></msub></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(9.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{totale}} \\;=\\; C_{\\text{neuf}} \\;-\\;\nV_{\\text{améliorations contributrices}}\\tag{9.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">neuf</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">am</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">liorations contributrices</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">9.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/09/#def-9-1"}, {"id": "def-def-9-2", "type": "def", "ch": "09", "num": "Définition 9.2", "front": "curable et incurable", "back": "<p id=\"p9-20\">Une composante de dépréciation est <span class=\"motcle\" data-term=\"curable\">curable</span> lorsque sa correction est <strong>économiquement justifiée</strong> : le coût de la correction est inférieur ou égal au gain de valeur qu'elle procure. Elle est <span class=\"motcle\" data-term=\"incurable\">incurable</span> lorsque la correction n'est pas économiquement viable — même si elle est techniquement possible.</p>", "url": "/seance/09/#def-9-2"}, {"id": "def-def-9-3", "type": "def", "ch": "09", "num": "Définition 9.3", "front": "dépréciation physique", "back": "<p id=\"p9-24\">Perte de valeur causée par l'<strong>usure</strong>, le <strong>vieillissement</strong> et la <strong>détérioration</strong> des composantes physiques du bâtiment : intempéries, cycles de gel-dégel, usage, manque d'entretien.</p>", "url": "/seance/09/#def-9-3"}, {"id": "def-def-9-4", "type": "def", "ch": "09", "num": "Définition 9.4", "front": "dépréciation fonctionnelle", "back": "<p id=\"p9-27\">Perte de valeur causée par des <strong>déficiences de conception</strong>, une <strong>inadéquation aux usages actuels</strong> ou une <strong>surqualité</strong> (<span class=\"motcle\" data-term=\"superadéquation\">superadéquation</span>) des améliorations. Le bâtiment n'est pas usé : il est <em>mal adapté</em> aux attentes du marché d'aujourd'hui.</p>", "url": "/seance/09/#def-9-4"}, {"id": "def-def-9-5", "type": "def", "ch": "09", "num": "Définition 9.5", "front": "dépréciation externe", "back": "<p id=\"p9-30\">Perte de valeur causée par des <strong>facteurs extérieurs</strong> à la propriété, hors du contrôle du propriétaire : nuisances de localisation (autoroute, ligne à haute tension, contamination, quartier en déclin) ou facteurs économiques et réglementaires (récession locale, suroffre, zonage défavorable, hausse des taux). Elle est <strong class=\"c-rouge\">toujours incurable</strong> : aucune intervention sur la propriété ne peut la corriger.</p>", "url": "/seance/09/#def-9-5"}, {"id": "def-def-9-6", "type": "def", "ch": "09", "num": "Définition 9.6", "front": "les quatre durées de vie", "back": "<p id=\"p9-39\">La <span class=\"motcle\" data-term=\"vie physique totale\">vie physique totale</span> est la période pendant laquelle le bâtiment peut <strong>physiquement</strong> exister; la <span class=\"motcle\" data-term=\"vie économique totale\">vie économique totale</span>, la période pendant laquelle il <strong>contribue à la valeur</strong> de la propriété — toujours inférieure ou égale à la vie physique, car un bâtiment cesse de valoir avant de cesser de tenir debout. L'<span class=\"motcle\" data-term=\"âge effectif\">âge effectif</span> est l'âge <strong>apparent</strong> du bâtiment compte tenu de son état et de son entretien, déterminé par jugement professionnel; la <span class=\"motcle\" data-term=\"vie économique restante\">vie économique restante</span> est la période de contribution économique qui reste à courir.</p>", "url": "/seance/09/#def-9-6"}, {"id": "def-def-9-7", "type": "def", "ch": "09", "num": "Définition 9.7", "front": "principe du rattachement à l'utilisation optimale", "back": "<p id=\"p9-48\">La dépréciation se mesure toujours en référence à l'<span class=\"motcle\" data-term=\"utilisation optimale\">utilisation optimale</span> (<em>highest and best use</em>, HBU) du terrain, considéré comme s'il était vacant. Avant tout calcul de dépréciation, l'évaluateur doit déterminer si le bâtiment actuel <strong>correspond</strong> à cette utilisation optimale.</p>", "url": "/seance/09/#def-9-7"}, {"id": "def-def-10-1", "type": "def", "ch": "10", "num": "Définition 10.1", "front": "dépréciation physique", "back": "<p id=\"p10-12\">La <strong>dépréciation physique</strong> est la perte de valeur des améliorations causée par l'<strong>usure</strong>, le <strong>vieillissement</strong> et l'action des <strong>intempéries</strong> sur les composantes d'un bâtiment. Elle traduit en dollars la détérioration matérielle du bien, indépendamment de sa conception (dépréciation fonctionnelle) et de son environnement (dépréciation économique).</p>", "url": "/seance/10/#def-10-1"}, {"id": "def-def-10-2", "type": "def", "ch": "10", "num": "Définition 10.2", "front": "curabilité (dépréciation physique)", "back": "<p id=\"p10-23\">Un item de dépréciation physique est <strong>curable</strong> lorsque le coût de sa réparation ou de son remplacement est <strong>inférieur ou égal</strong> à l'augmentation de valeur qui en résulterait. Il est <strong>incurable</strong> dans le cas contraire. Formellement :</p>\n<div class=\"eq\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mrow><mtext>Curable</mtext><mtext>  </mtext><mo>⟺</mo><mtext>  </mtext><mrow><mtext>Co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t de r</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>paration</mtext></mrow><mtext>  </mtext><mo>≤</mo><mtext>  </mtext><mrow><mtext>Valeur ajout</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>e r</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>sultante</mtext></mrow></mrow><annotation encoding=\"application/x-tex\">\\text{Curable} \\iff \\text{Coût de réparation} \\;\\leq\\; \\text{Valeur ajoutée résultante}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7184em;vertical-align:-0.024em;\"></span><span class=\"mord text\"><span class=\"mord\">Curable</span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">⟺</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"></span><span class=\"mord text\"><span class=\"mord\">Co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">t de r</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">paration</span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">≤</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"></span><span class=\"mord text\"><span class=\"mord\">Valeur ajout</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">e r</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">sultante</span></span></span></span></span></span></div>", "url": "/seance/10/#def-10-2"}, {"id": "def-def-10-3", "type": "def", "ch": "10", "num": "Définition 10.3", "front": "entretien différé", "back": "<p id=\"p10-33\">La dépréciation physique curable correspond à l'<strong>entretien différé</strong> (<em>deferred maintenance</em>) : l'ensemble des réparations et remplacements que l'acheteur type effectuerait immédiatement après l'acquisition, parce que leur coût est égal ou inférieur à la valeur qu'ils ajoutent. Elle se mesure au <strong>coût de réparation au prix du marché</strong>.</p>", "url": "/seance/10/#def-10-3"}, {"id": "def-def-10-4", "type": "def", "ch": "10", "num": "Définition 10.4", "front": "dépréciation incurable court terme", "back": "<p id=\"p10-41\">La dépréciation incurable <strong>court terme</strong> (<em>short-lived</em>) frappe les composantes dont la durée de vie utile est <strong>inférieure</strong> à celle du bâtiment, mais dont le remplacement n'est <strong>pas encore économiquement justifiable</strong> au moment de l'évaluation : la composante n'est pas en fin de vie, elle est simplement partiellement consommée.</p>", "url": "/seance/10/#def-10-4"}, {"id": "def-def-10-5", "type": "def", "ch": "10", "num": "Définition 10.5", "front": "dépréciation incurable long terme", "back": "<p id=\"p10-54\">La dépréciation incurable <strong>long terme</strong> (<em>long-lived</em>) frappe les composantes dont la durée de vie égale ou excède celle du bâtiment : les éléments structuraux et permanents (fondations, charpente, dalle, murs porteurs, colonnes et poutres, ossature du toit, isolation structurale, maçonnerie structurale). Ces composantes ne sont jamais remplacées séparément : elles durent aussi longtemps que le bâtiment lui-même.</p>", "url": "/seance/10/#def-10-5"}, {"id": "def-def-11-1", "type": "def", "ch": "11", "num": "Définition 11.1", "front": "dépréciation fonctionnelle", "back": "<p id=\"p11-9\">La <strong>dépréciation fonctionnelle</strong> (ou <strong>obsolescence fonctionnelle</strong>) est la perte de valeur d'un bâtiment attribuable à des <strong>défauts de conception, de plan, de style ou de fonctionnalité</strong> qui réduisent son utilité ou son attrait par rapport aux attentes actuelles du marché.</p>", "url": "/seance/11/#def-11-1"}, {"id": "def-def-11-2", "type": "def", "ch": "11", "num": "Définition 11.2", "front": "curabilité (dépréciation fonctionnelle)", "back": "<p id=\"p11-14\">Une déficience fonctionnelle est <strong>curable</strong> si le coût de sa correction est <strong>inférieur ou égal</strong> à la valeur ajoutée par cette correction; elle est <strong>incurable</strong> dans le cas contraire. Le test repose sur la <strong>rationalité économique</strong>, pas sur la faisabilité technique : un défaut peut être techniquement réparable mais économiquement incurable.</p>", "url": "/seance/11/#def-11-2"}, {"id": "def-def-11-3", "type": "def", "ch": "11", "num": "Définition 11.3", "front": "déficience par ajout", "back": "<p id=\"p11-19\">Une déficience par <strong>ajout</strong> vise un élément <strong>absent</strong> du bâtiment que le marché actuel considère comme nécessaire ou standard. Le bâtiment a été construit sans cet élément et il n'a jamais été ajouté; l'élément n'est donc <strong>pas inclus</strong> dans le coût neuf estimé.</p>", "url": "/seance/11/#def-11-3"}, {"id": "def-def-11-4", "type": "def", "ch": "11", "num": "Définition 11.4", "front": "déficience par substitution", "back": "<p id=\"p11-27\">Une déficience par <strong>substitution</strong> vise un élément <strong>présent</strong> dans le bâtiment mais <strong>inadéquat, désuet ou obsolète</strong>, qui doit être remplacé par un élément conforme aux attentes actuelles du marché.</p>", "url": "/seance/11/#def-11-4"}, {"id": "def-def-11-5", "type": "def", "ch": "11", "num": "Définition 11.5", "front": "superadéquation", "back": "<p id=\"p11-39\">La <strong>superadéquation</strong> (<em>superadequacy</em>) survient lorsqu'un bâtiment contient des éléments ou des améliorations qui <strong>dépassent les attentes et les besoins du marché</strong> pour ce type de propriété dans ce secteur. Le principe fondamental : le marché <strong>ne paie pas pour l'excès de qualité</strong> — un acheteur typique ne verse pas de supplément pour un élément qu'il ne recherche pas.</p>", "url": "/seance/11/#def-11-5"}, {"id": "def-def-11-6", "type": "def", "ch": "11", "num": "Définition 11.6", "front": "obsolescence de conception", "back": "<p id=\"p11-52\">L'<strong>obsolescence de conception</strong> (<em>design obsolescence</em>) survient lorsque le <strong>plan, la configuration ou l'agencement</strong> du bâtiment ne correspond plus aux attentes et au mode de vie actuels des acheteurs ou des locataires, et qu'il est trop coûteux de modifier la structure pour y remédier.</p>", "url": "/seance/11/#def-11-6"}, {"id": "def-def-12-1", "type": "def", "ch": "12", "num": "Définition 12.1", "front": "dépréciation économique (obsolescence externe)", "back": "<p id=\"p12-9\">La <strong>dépréciation économique</strong> est la perte de valeur d'une propriété causée par des <strong>facteurs extérieurs</strong> à la propriété elle-même, sur lesquels le propriétaire n'a <strong>aucun contrôle</strong> : environnement physique, économique, réglementaire ou social.</p>", "url": "/seance/12/#def-12-1"}, {"id": "def-def-12-2", "type": "def", "ch": "12", "num": "Définition 12.2", "front": "ventes appariées", "back": "<p id=\"p12-51\">La méthode des <strong>ventes appariées</strong> (<em>paired sales analysis</em>) compare des propriétés <strong>similaires</strong> dont certaines sont <strong>affectées</strong> par le facteur externe et d'autres <strong>non</strong> : la différence de prix, une fois les autres écarts ajustés, isole la dépréciation économique.</p>", "url": "/seance/12/#def-12-2"}, {"id": "def-def-13-1", "type": "def", "ch": "13", "num": "Définition 13.1", "front": "bâtiment à usage spécial", "back": "<p id=\"p13-11\">Un <span class=\"motcle\" data-term=\"bâtiment à usage spécial\">bâtiment à usage spécial</span> (<em>special-purpose property</em>) est un immeuble dont la conception, l'aménagement ou la construction sont tellement spécifiques qu'ils limitent son utilisation à l'usage pour lequel il a été construit.</p>", "url": "/seance/13/#def-13-1"}, {"id": "def-def-13-2", "type": "def", "ch": "13", "num": "Définition 13.2", "front": "qualification des biens — C.c.Q.", "back": "<p id=\"p13-61\">Le <em>Code civil du Québec</em> organise la qualification des biens en une gradation dont l'évaluateur doit connaître chaque échelon. L'article 900 pose le socle : les fonds de terre et les constructions à caractère permanent sont des <strong>immeubles par nature</strong>. L'article 901 traite du meuble <strong>incorporé</strong> : dès qu'il perd son individualité en s'intégrant à la construction — la brique dans le mur, la tuyauterie noyée dans la dalle —, il devient <strong>partie intégrante</strong> de l'immeuble. L'article 903 vise le cas intermédiaire, le plus litigieux en pratique : le meuble <strong>attaché à demeure</strong> qui conserve son individualité (un ascenseur, un système CVAC, un pont roulant boulonné à la structure) est immeuble <em>tant qu'il y reste</em>. Enfin, les articles 905 et 907 ferment le système : tout ce qui peut se transporter, et tout bien que la loi ne qualifie pas autrement, est <strong>meuble</strong>.</p>", "url": "/seance/13/#def-13-2"}, {"id": "def-def-13-3", "type": "def", "ch": "13", "num": "Définition 13.3", "front": "améliorations locatives", "back": "<p id=\"p13-73\">Les <span class=\"motcle\" data-term=\"améliorations locatives\">améliorations locatives</span> (<em>leasehold improvements</em>) sont les travaux réalisés par ou pour un locataire afin d'adapter un espace locatif à ses besoins spécifiques : cloisons et aménagement de bureaux, revêtements de sol spéciaux, éclairage personnalisé, installations électriques et informatiques, plomberie additionnelle, systèmes de sécurité, vitrines et devantures.</p>", "url": "/seance/13/#def-13-3"}, {"id": "form-form-1-1", "type": "form", "ch": "01", "num": "Formule 1.1", "front": "plafond de substitution", "back": "<div class=\"eq\" id=\"eq-1-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>V</mi><mtext>bien</mtext></msub><mtext>  </mtext><mo>≤</mo><mtext>  </mtext><mi>min</mi><mo>⁡</mo><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(</mo><msub><mi>C</mi><mtext>construction neuve</mtext></msub><mo separator=\"true\">,</mo><mtext>  </mtext><msub><mi>P</mi><mtext>comparable</mtext></msub><mo separator=\"true\">,</mo><mtext>  </mtext><msub><mtext>VAN</mtext><mtext>revenus</mtext></msub><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)</mo></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(1.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">V_{\\text{bien}} \\;\\leq\\; \\min\\bigl(C_{\\text{construction neuve}},\\;\nP_{\\text{comparable}},\\; \\text{VAN}_{\\text{revenus}}\\bigr)\\tag{1.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">bien</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">≤</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mop\">min</span><span class=\"mopen\"><span class=\"delimsizing size1\">(</span></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">construction neuve</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mpunct\">,</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">comparable</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mpunct\">,</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">VAN</span></span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1514em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">revenus</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\"><span class=\"delimsizing size1\">)</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">1.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p1-28\">La valeur d'un bien ne peut durablement excéder le coût du moins cher de ses substituts : construire un équivalent neuf, acheter un comparable existant, ou acquérir un flux de revenus équivalent.</p>", "url": "/seance/01/#form-1-1"}, {"id": "form-form-1-2", "type": "form", "ch": "01", "num": "Formule 1.2", "front": "formule fondamentale de la méthode du coût", "back": "<div class=\"eq\" id=\"eq-1-2\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><mi>V</mi><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>V</mi><mtext>terrain</mtext></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(</mo><msub><mi>C</mi><mtext>neuf</mtext></msub><mo>−</mo><msub><mi>D</mi><mtext>totale</mtext></msub><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)</mo></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(1.2)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">V \\;=\\; V_{\\text{terrain}} \\;+\\; \\bigl(C_{\\text{neuf}} - D_{\\text{totale}}\\bigr)\\tag{1.2}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">terrain</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mopen\"><span class=\"delimsizing size1\">(</span></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">neuf</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\"><span class=\"delimsizing size1\">)</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">1.2</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p1-46\">où <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>V</mi></mrow><annotation encoding=\"application/x-tex\">V</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span></span></span></span> est la valeur estimée de la propriété; <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>V</mi><mtext>terrain</mtext></msub></mrow><annotation encoding=\"application/x-tex\">V_{\\text{terrain}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">terrain</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> la valeur du terrain, estimée séparément comme s'il était vacant; <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>C</mi><mtext>neuf</mtext></msub></mrow><annotation encoding=\"application/x-tex\">C_{\\text{neuf}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">neuf</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> le coût de reproduction ou de remplacement à neuf des améliorations; et <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>D</mi><mtext>totale</mtext></msub></mrow><annotation encoding=\"application/x-tex\">D_{\\text{totale}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> la dépréciation cumulée.</p>", "url": "/seance/01/#form-1-2"}, {"id": "form-form-1-3", "type": "form", "ch": "01", "num": "Formule 1.3", "front": "décomposition de la dépréciation", "back": "<div class=\"eq\" id=\"eq-1-3\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mtext>totale</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>D</mi><mtext>physique</mtext></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><msub><mi>D</mi><mtext>fonctionnelle</mtext></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><msub><mi>D</mi><mtext>externe</mtext></msub></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(1.3)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{totale}} \\;=\\; D_{\\text{physique}} \\;+\\; D_{\\text{fonctionnelle}}\n\\;+\\; D_{\\text{externe}}\\tag{1.3}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">physique</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fonctionnelle</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">externe</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">1.3</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/01/#form-1-3"}, {"id": "form-form-2-1", "type": "form", "ch": "02", "num": "Formule 2.1", "front": "composition du coût total", "back": "<div class=\"eq\" id=\"eq-2-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>C</mi><mtext>total</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>C</mi><mtext>directs</mtext></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><msub><mi>C</mi><mtext>indirects</mtext></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><mtext>Profit entrepreneurial</mtext></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(2.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">C_{\\text{total}} \\;=\\; C_{\\text{directs}} \\;+\\; C_{\\text{indirects}}\n\\;+\\; \\text{Profit entrepreneurial}\\tag{2.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">total</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">directs</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">indirects</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"></span><span class=\"mord text\"><span class=\"mord\">Profit entrepreneurial</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">2.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p2-40\">avec, en ordres de grandeur : coûts indirects <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>≈</mo></mrow><annotation encoding=\"application/x-tex\">\\approx</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.4831em;\"></span><span class=\"mrel\">≈</span></span></span></span> 15–25 % <em>des coûts directs</em>; profit entrepreneurial <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>≈</mo></mrow><annotation encoding=\"application/x-tex\">\\approx</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.4831em;\"></span><span class=\"mrel\">≈</span></span></span></span> 8–15 % de la somme <em>(directs <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>+</mo></mrow><annotation encoding=\"application/x-tex\">+</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6667em;vertical-align:-0.0833em;\"></span><span class=\"mord\">+</span></span></span></span> indirects)</em>. Le terrain est exclu : il s'évalue séparément.</p>", "url": "/seance/02/#form-2-1"}, {"id": "form-form-4-1", "type": "form", "ch": "04", "num": "Formule 4.1", "front": "méthode du coût — rappel", "back": "<div class=\"eq\" id=\"eq-4-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><mi>V</mi><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>V</mi><mtext>terrain</mtext></msub><mo>+</mo><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(</mo><msub><mi>C</mi><mtext>neuf</mtext></msub><mo>−</mo><msub><mi>D</mi><mtext>totale</mtext></msub><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)</mo></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(4.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">V \\;=\\; V_{\\text{terrain}} + \\bigl(C_{\\text{neuf}} - D_{\\text{totale}}\\bigr)\\tag{4.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">terrain</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mopen\"><span class=\"delimsizing size1\">(</span></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">neuf</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\"><span class=\"delimsizing size1\">)</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">4.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p4-10\">où <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>V</mi><mtext>terrain</mtext></msub></mrow><annotation encoding=\"application/x-tex\">V_{\\text{terrain}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">terrain</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> est la valeur du terrain nu, <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>C</mi><mtext>neuf</mtext></msub></mrow><annotation encoding=\"application/x-tex\">C_{\\text{neuf}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">neuf</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> le coût de reproduction ou de remplacement à neuf et <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>D</mi><mtext>totale</mtext></msub></mrow><annotation encoding=\"application/x-tex\">D_{\\text{totale}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> la dépréciation cumulée.</p>", "url": "/seance/04/#form-4-1"}, {"id": "form-form-4-2", "type": "form", "ch": "04", "num": "Formule 4.2", "front": "ajustement pour le temps (taux simple)", "back": "<div class=\"eq\" id=\"eq-4-2\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>A</mi><mtext>temps</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>P</mi><mtext>vente</mtext></msub><mo>×</mo><msub><mi>τ</mi><mtext>annuel</mtext></msub><mo>×</mo><mfrac><msub><mi>n</mi><mtext>mois</mtext></msub><mn>12</mn></mfrac></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(4.2)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">A_{\\text{temps}} \\;=\\; P_{\\text{vente}} \\times \\tau_{\\text{annuel}} \\times\n\\frac{n_{\\text{mois}}}{12}\\tag{4.2}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\">A</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">temps</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">vente</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1132em;\">τ</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.1132em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">annuel</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.7936em;vertical-align:-0.686em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.1076em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\">12</span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">n</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">mois</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.686em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.7936em;vertical-align:-0.686em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">4.2</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p4-81\">où <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>P</mi><mtext>vente</mtext></msub></mrow><annotation encoding=\"application/x-tex\">P_{\\text{vente}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">vente</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> est le prix du comparable, <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>τ</mi><mtext>annuel</mtext></msub></mrow><annotation encoding=\"application/x-tex\">\\tau_{\\text{annuel}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1132em;\">τ</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.1132em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">annuel</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> le taux d'appréciation annuel du marché et <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>n</mi><mtext>mois</mtext></msub></mrow><annotation encoding=\"application/x-tex\">n_{\\text{mois}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\">n</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">mois</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> l'ancienneté de la vente en mois.</p>", "url": "/seance/04/#form-4-2"}, {"id": "form-form-5-1", "type": "form", "ch": "05", "num": "Formule 5.1", "front": "relation reproduction–remplacement", "back": "<div class=\"eq\" id=\"eq-5-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>C</mi><mtext>reproduction</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>C</mi><mtext>remplacement</mtext></msub><mo>+</mo><mtext>Obsolescence fonctionnelle curable</mtext></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(5.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">C_{\\text{reproduction}} \\;=\\; C_{\\text{remplacement}} +\n\\text{Obsolescence fonctionnelle curable}\\tag{5.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">reproduction</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">remplacement</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"></span><span class=\"mord text\"><span class=\"mord\">Obsolescence fonctionnelle curable</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">5.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/05/#form-5-1"}, {"id": "form-form-5-2", "type": "form", "ch": "05", "num": "Formule 5.2", "front": "indexation temporelle des coûts", "back": "<div class=\"eq\" id=\"eq-5-2\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>C</mi><mtext>date cible</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>C</mi><mtext>date connue</mtext></msub><mo>×</mo><mfrac><msub><mi>I</mi><mtext>date cible</mtext></msub><msub><mi>I</mi><mtext>date connue</mtext></msub></mfrac></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(5.2)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">C_{\\text{date cible}} \\;=\\; C_{\\text{date connue}} \\times\n\\frac{I_{\\text{date cible}}}{I_{\\text{date connue}}}\\tag{5.2}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">date cible</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">date connue</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.1963em;vertical-align:-0.836em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0785em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">date connue</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0785em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">date cible</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.836em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.1963em;vertical-align:-0.836em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">5.2</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p5-35\">où <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>I</mi></mrow><annotation encoding=\"application/x-tex\">I</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I</span></span></span></span> désigne l'indice de coûts de construction à chaque date.</p>", "url": "/seance/05/#form-5-2"}, {"id": "form-form-5-3", "type": "form", "ch": "05", "num": "Formule 5.3", "front": "coût unitaire au pied carré", "back": "<div class=\"eq\" id=\"eq-5-3\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><mi>c</mi><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mfrac><msub><mi>C</mi><mtext>total</mtext></msub><msub><mi>S</mi><msup><mtext>pi</mtext><mn>2</mn></msup></msub></mfrac></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(5.3)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">c \\;=\\; \\frac{C_{\\text{total}}}{S_{\\text{pi}^2}}\\tag{5.3}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.4306em;\"></span><span class=\"mord mathnormal\">c</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.3804em;vertical-align:-1.02em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">S</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3448em;\"><span style=\"top:-2.5021em;margin-left:-0.0576em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">pi</span></span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7753em;\"><span style=\"top:-2.815em;margin-right:0.0714em;\"><span class=\"pstrut\" style=\"height:2.5em;\"></span><span class=\"katex-sizing reset-size3 size1 mtight\"><span class=\"mord mtight\">2</span></span></span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.334em;\"><span></span></span></span></span></span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">total</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.02em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.3804em;vertical-align:-1.02em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">5.3</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/05/#form-5-3"}, {"id": "form-form-5-4", "type": "form", "ch": "05", "num": "Formule 5.4", "front": "conversion pi<sup>2</sup> <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>↔</mo></mrow><annotation encoding=\"application/x-tex\">\\leftrightarrow</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.3669em;\"></span><span class=\"mrel\">↔</span></span></span></span> m<sup>2</sup>", "back": "<div class=\"eq\" id=\"eq-5-4\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>c</mi><mrow><mi mathvariant=\"normal\">$</mi><mi mathvariant=\"normal\">/</mi><msup><mtext>m</mtext><mn>2</mn></msup></mrow></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>c</mi><mrow><mi mathvariant=\"normal\">$</mi><mi mathvariant=\"normal\">/</mi><msup><mtext>pi</mtext><mn>2</mn></msup></mrow></msub><mo>×</mo><mn>10,764</mn></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(5.4)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">c_{\\$/\\text{m}^2} \\;=\\; c_{\\$/\\text{pi}^2} \\times 10{,}764\\tag{5.4}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7858em;vertical-align:-0.3552em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\">c</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3448em;\"><span style=\"top:-2.5198em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">$/</span><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">m</span></span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7463em;\"><span style=\"top:-2.786em;margin-right:0.0714em;\"><span class=\"pstrut\" style=\"height:2.5em;\"></span><span class=\"katex-sizing reset-size3 size1 mtight\"><span class=\"mord mtight\">2</span></span></span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3552em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9563em;vertical-align:-0.3729em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\">c</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3448em;\"><span style=\"top:-2.5021em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">$/</span><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">pi</span></span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7753em;\"><span style=\"top:-2.815em;margin-right:0.0714em;\"><span class=\"pstrut\" style=\"height:2.5em;\"></span><span class=\"katex-sizing reset-size3 size1 mtight\"><span class=\"mord mtight\">2</span></span></span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3729em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\"></span><span class=\"mord\">10</span><span class=\"mord\"><span class=\"mpunct\">,</span></span><span class=\"mord\">764</span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.1229em;vertical-align:-0.3729em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">5.4</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/05/#form-5-4"}, {"id": "form-form-5-5", "type": "form", "ch": "05", "num": "Formule 5.5", "front": "méthode calculator (Marshall &amp; Swift)", "back": "<div class=\"eq\" id=\"eq-5-5\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><mi>C</mi><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>C</mi><mtext>base</mtext></msub><mo>×</mo><msub><mi>M</mi><mtext>hauteur</mtext></msub><mo>×</mo><msub><mi>M</mi><mrow><mtext>p</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>rim</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˋ</mo></mover><mtext>tre</mtext></mrow></msub><mo>×</mo><msub><mi>M</mi><mrow><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>tages</mtext></mrow></msub><mo>×</mo><mfrac><msub><mi>I</mi><mtext>actuel</mtext></msub><msub><mi>I</mi><mtext>base</mtext></msub></mfrac><mo>×</mo><msub><mi>M</mi><mtext>local</mtext></msub></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(5.5)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">C \\;=\\; C_{\\text{base}} \\times M_{\\text{hauteur}} \\times M_{\\text{périmètre}}\n\\times M_{\\text{étages}} \\times \\frac{I_{\\text{actuel}}}{I_{\\text{base}}}\n\\times M_{\\text{local}}\\tag{5.5}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">base</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">hauteur</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">p</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">rim</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˋ</span></span></span></span></span></span></span><span class=\"mord mtight\">tre</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">tages</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.1963em;vertical-align:-0.836em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0785em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">base</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0785em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">actuel</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.836em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">local</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.1963em;vertical-align:-0.836em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">5.5</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p5-73\">où les <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>M</mi></mrow><annotation encoding=\"application/x-tex\">M</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M</span></span></span></span> sont les multiplicateurs de hauteur d'étage, de périmètre (forme), d'étages multiples et de localisation, et <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>I</mi></mrow><annotation encoding=\"application/x-tex\">I</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I</span></span></span></span> les indices de mise à jour temporelle.</p>", "url": "/seance/05/#form-5-5"}, {"id": "form-form-5-6", "type": "form", "ch": "05", "num": "Formule 5.6", "front": "coût de base", "back": "<div class=\"eq\" id=\"eq-5-6\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>C</mi><mtext>base</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>c</mi><mtext>unitaire</mtext></msub><mo>×</mo><mi>S</mi><mspace width=\"2em\"/><mtext>(ou </mtext><mo>×</mo><mi>V</mi><mtext> pour un calcul au volume)</mtext></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(5.6)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">C_{\\text{base}} \\;=\\; c_{\\text{unitaire}} \\times S\n\\qquad\\text{(ou } \\times V \\text{ pour un calcul au volume)}\\tag{5.6}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">base</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\">c</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">unitaire</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">S</span><span class=\"mspace\" style=\"margin-right:2em;\"></span><span class=\"mord text\"><span class=\"mord\">(ou </span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"mord text\"><span class=\"mord\"> pour un calcul au volume)</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">5.6</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/05/#form-5-6"}, {"id": "form-form-5-7", "type": "form", "ch": "05", "num": "Formule 5.7", "front": "coût neuf total", "back": "<div class=\"eq\" id=\"eq-5-7\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>C</mi><mtext>neuf</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>C</mi><mtext>directs</mtext></msub><mo>+</mo><msub><mi>C</mi><mtext>indirects</mtext></msub><mo>+</mo><mtext>Profit entrepreneurial</mtext></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(5.7)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">C_{\\text{neuf}} \\;=\\; C_{\\text{directs}} + C_{\\text{indirects}} +\n\\text{Profit entrepreneurial}\\tag{5.7}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">neuf</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">directs</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">indirects</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"></span><span class=\"mord text\"><span class=\"mord\">Profit entrepreneurial</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">5.7</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p5-86\">Ordres de grandeur : coûts indirects 8–15 % des coûts directs (honoraires, financement intérimaire, permis, assurances, administration); profit entrepreneurial 10–20 % des coûts directs et indirects. Les séances 7 et 8 détaillent ces composantes.</p>", "url": "/seance/05/#form-5-7"}, {"id": "form-form-6-1", "type": "form", "ch": "06", "num": "Formule 6.1", "front": "du taux de base au coût employeur « chargé »", "back": "<div class=\"eq\" id=\"eq-6-3\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><mrow><mtext>Co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t horaire charg</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover></mrow><mtext>  </mtext><mo>≈</mo><mtext>  </mtext><mtext>Taux de base</mtext><mo>×</mo><mo stretchy=\"false\">(</mo><mn>1</mn><mo>+</mo><mn>0,45</mn><mtext> </mtext><mover accent=\"true\"><mtext>a</mtext><mo>ˋ</mo></mover><mtext> </mtext><mn>0,60</mn><mo stretchy=\"false\">)</mo></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(6.3)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">\\text{Coût horaire chargé} \\;\\approx\\; \\text{Taux de base} \\times\n(1 + 0{,}45~\\text{à}~0{,}60)\\tag{6.3}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"></span><span class=\"mord text\"><span class=\"mord\">Co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">t horaire charg</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">≈</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7778em;vertical-align:-0.0833em;\"></span><span class=\"mord text\"><span class=\"mord\">Taux de base</span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mopen\">(</span><span class=\"mord\">1</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mord\">0</span><span class=\"mord\"><span class=\"mpunct\">,</span></span><span class=\"mord\">45</span><span class=\"mspace nobreak\"> </span><span class=\"mord text\"><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">a</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˋ</span></span></span></span></span></span></span></span><span class=\"mspace nobreak\"> </span><span class=\"mord\">0</span><span class=\"mord\"><span class=\"mpunct\">,</span></span><span class=\"mord\">60</span><span class=\"mclose\">)</span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">6.3</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p6-37\">Les charges (avantages sociaux, cotisations CCQ et CNESST, congés payés) ajoutent environ 45 à 60 % au taux de base.</p>", "url": "/seance/06/#form-6-1"}, {"id": "form-form-6-2", "type": "form", "ch": "06", "num": "Formule 6.2", "front": "coût indexé", "back": "<div class=\"eq\" id=\"eq-6-5\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>C</mi><mtext>actuel</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>C</mi><mtext>original</mtext></msub><mo>×</mo><mfrac><msub><mi>I</mi><mtext>actuel</mtext></msub><msub><mi>I</mi><mtext>original</mtext></msub></mfrac></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(6.5)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">C_{\\text{actuel}} \\;=\\; C_{\\text{original}} \\times\n\\frac{I_{\\text{actuel}}}{I_{\\text{original}}}\\tag{6.5}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">actuel</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">original</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.3324em;vertical-align:-0.9721em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0785em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">original</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0785em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">actuel</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9721em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.3324em;vertical-align:-0.9721em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">6.5</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p6-58\">où <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>C</mi><mtext>original</mtext></msub></mrow><annotation encoding=\"application/x-tex\">C_{\\text{original}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">original</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span></span> est le coût de construction documenté (contrat, factures, permis, évaluation antérieure) et <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>I</mi></mrow><annotation encoding=\"application/x-tex\">I</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I</span></span></span></span> l'indice de coûts.</p>", "url": "/seance/06/#form-6-2"}, {"id": "form-form-6-3", "type": "form", "ch": "06", "num": "Formule 6.3", "front": "ratio de périmètre", "back": "<div class=\"eq\" id=\"eq-6-6\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>R</mi><mi>p</mi></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mfrac><msub><mi>P</mi><mtext>sujet</mtext></msub><msub><mi>P</mi><mrow><mtext>carr</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext> </mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>quivalent</mtext></mrow></msub></mfrac><mspace width=\"2em\"/><mrow><mtext>o</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˋ</mo></mover></mrow><mspace width=\"2em\"/><msub><mi>P</mi><mrow><mtext>carr</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover></mrow></msub><mo>=</mo><mn>4</mn><msqrt><mi>S</mi></msqrt><mi mathvariant=\"normal\">.</mi></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(6.6)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">R_p \\;=\\; \\frac{P_{\\text{sujet}}}{P_{\\text{carré équivalent}}}\n\\qquad\\text{où}\\qquad\nP_{\\text{carré}} = 4\\sqrt{S}.\\tag{6.6}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0077em;\">R</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1514em;\"><span style=\"top:-2.55em;margin-left:-0.0077em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.3324em;vertical-align:-0.9721em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">carr</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\"> </span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">quivalent</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">sujet</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9721em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span><span class=\"mspace\" style=\"margin-right:2em;\"></span><span class=\"mord text\"><span class=\"mord\">o</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˋ</span></span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:2em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">carr</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.04em;vertical-align:-0.0645em;\"></span><span class=\"mord\">4</span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9755em;\"><span class=\"svg-align\" style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\" style=\"padding-left:0.833em;\"><span class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">S</span></span></span><span style=\"top:-2.9355em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"hide-tail\" style=\"min-width:0.853em;height:1.08em;\"><svg xmlns=\"http://www.w3.org/2000/svg\" width=\"400em\" height=\"1.08em\" viewBox=\"0 0 400000 1080\" preserveAspectRatio=\"xMinYMin slice\"><path d=\"M95,702\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl0 -0\nc5.3,-9.3,12,-14,20,-14\nH400000v40H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM834 80h400000v40h-400000z\"/></svg></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.0645em;\"><span></span></span></span></span></span><span class=\"mord\">.</span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.3324em;vertical-align:-0.9721em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">6.6</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p6-78\">Un bâtiment irrégulier a plus de murs extérieurs par pied carré de plancher qu'un carré de même superficie : son coût unitaire est majoré.</p>", "url": "/seance/06/#form-6-3"}, {"id": "form-form-7-1", "type": "form", "ch": "07", "num": "Formule 7.1", "front": "place des coûts directs dans la méthode du coût", "back": "<div class=\"eq\" id=\"eq-7-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><mi>V</mi><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>V</mi><mtext>terrain</mtext></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(</mo><munder><munder><mrow><msub><mi>C</mi><mtext>directs</mtext></msub><mo>+</mo><msub><mi>C</mi><mtext>indirects</mtext></msub><mo>+</mo><msub><mi>P</mi><mtext>entrepreneur</mtext></msub></mrow><mo stretchy=\"true\">⏟</mo></munder><mrow><mtext>co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t </mtext><mover accent=\"true\"><mtext>a</mtext><mo>ˋ</mo></mover><mtext> neuf</mtext></mrow></munder><mtext>  </mtext><mo>−</mo><mtext>  </mtext><msub><mi>D</mi><mtext>totale</mtext></msub><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)</mo></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(7.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">V \\;=\\; V_{\\text{terrain}} \\;+\\;\n\\bigl(\\underbrace{C_{\\text{directs}} + C_{\\text{indirects}} +\nP_{\\text{entrepreneur}}}_{\\text{coût à neuf}} \\;-\\; D_{\\text{totale}}\\bigr)\\tag{7.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">terrain</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.4702em;vertical-align:-1.6202em;\"></span><span class=\"mopen\"><span class=\"delimsizing size1\">(</span></span><span class=\"minner munder\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6833em;\"><span style=\"top:-1.3798em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">co</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">u</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˆ</span></span></span></span></span></span></span><span class=\"mord mtight\">t </span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">a</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˋ</span></span></span></span></span></span></span><span class=\"mord mtight\"> neuf</span></span></span></span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"minner munder\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6833em;\"><span class=\"svg-align\" style=\"top:-2.0659em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"katex-stretchy\" style=\"height:0.548em;min-width:1.6em;\"><span class=\"brace-left\" style=\"height:0.548em;\"><svg xmlns=\"http://www.w3.org/2000/svg\" width=\"400em\" height=\"0.548em\" viewBox=\"0 0 400000 548\" preserveAspectRatio=\"xMinYMin slice\"><path d=\"M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z\"/></svg></span><span class=\"brace-center\" style=\"height:0.548em;\"><svg xmlns=\"http://www.w3.org/2000/svg\" width=\"400em\" height=\"0.548em\" viewBox=\"0 0 400000 548\" preserveAspectRatio=\"xMidYMin slice\"><path d=\"M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z\"/></svg></span><span class=\"brace-right\" style=\"height:0.548em;\"><svg xmlns=\"http://www.w3.org/2000/svg\" width=\"400em\" height=\"0.548em\" viewBox=\"0 0 400000 548\" preserveAspectRatio=\"xMaxYMin slice\"><path d=\"M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z\"/></svg></span></span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">directs</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">indirects</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">entrepreneur</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9341em;\"><span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.6202em;\"><span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\"><span class=\"delimsizing size1\">)</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.4702em;vertical-align:-1.6202em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">7.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p7-10\">Les coûts directs constituent le premier — et de loin le plus important — des trois blocs du coût à neuf.</p>", "url": "/seance/07/#form-7-1"}, {"id": "form-form-8-1", "type": "form", "ch": "08", "num": "Formule 8.1", "front": "intérêts intercalaires avec facteur <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle></mrow><annotation encoding=\"application/x-tex\">\\tfrac{1}{2}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.1901em;vertical-align:-0.345em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8451em;\"><span style=\"top:-2.655em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2</span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.394em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.345em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span></span></span>", "back": "<div class=\"eq\" id=\"eq-8-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><mi>I</mi><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>C</mi><mtext>directs</mtext></msub><mo>×</mo><mi>i</mi><mo>×</mo><mi>T</mi><mo>×</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(8.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">I \\;=\\; C_{\\text{directs}} \\times i \\times T \\times \\frac{1}{2}\\tag{8.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">directs</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7429em;vertical-align:-0.0833em;\"></span><span class=\"mord mathnormal\">i</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7667em;vertical-align:-0.0833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">T</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.0074em;vertical-align:-0.686em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3214em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\">2</span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\">1</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.686em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.0074em;vertical-align:-0.686em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">8.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p8-27\">où <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>I</mi></mrow><annotation encoding=\"application/x-tex\">I</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I</span></span></span></span> désigne les intérêts intercalaires, <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>C</mi><mtext>directs</mtext></msub></mrow><annotation encoding=\"application/x-tex\">C_{\\text{directs}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">directs</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> les coûts directs de construction, <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>i</mi></mrow><annotation encoding=\"application/x-tex\">i</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6595em;\"></span><span class=\"mord mathnormal\">i</span></span></span></span> le taux d'intérêt annuel du prêt de construction et <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>T</mi></mrow><annotation encoding=\"application/x-tex\">T</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">T</span></span></span></span> la durée de construction en années. Le facteur <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle></mrow><annotation encoding=\"application/x-tex\">\\tfrac{1}{2}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.1901em;vertical-align:-0.345em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8451em;\"><span style=\"top:-2.655em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2</span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.394em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.345em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span></span></span> traduit l'hypothèse que les décaissements étant progressifs, c'est <strong>en moyenne la moitié</strong> du montant qui est empruntée pendant la durée des travaux.</p>", "url": "/seance/08/#form-8-1"}, {"id": "form-form-8-2", "type": "form", "ch": "08", "num": "Formule 8.2", "front": "profit entrepreneurial", "back": "<div class=\"eq\" id=\"eq-8-2\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>P</mi><mtext>entrepreneur</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(</mo><msub><mi>C</mi><mtext>directs</mtext></msub><mo>+</mo><msub><mi>C</mi><mtext>indirects</mtext></msub><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)</mo><mo>×</mo><msub><mi>τ</mi><mi>P</mi></msub><mo separator=\"true\">,</mo><mspace width=\"2em\"/><msub><mi>τ</mi><mi>P</mi></msub><mo>∈</mo><mo stretchy=\"false\">[</mo><mn>8</mn><mtext> </mtext><mi mathvariant=\"normal\">%</mi><mo separator=\"true\">,</mo><mtext> </mtext><mn>15</mn><mtext> </mtext><mi mathvariant=\"normal\">%</mi><mo stretchy=\"false\">]</mo></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(8.2)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">P_{\\text{entrepreneur}} \\;=\\;\n\\bigl(C_{\\text{directs}} + C_{\\text{indirects}}\\bigr) \\times \\tau_P,\n\\qquad \\tau_P \\in [8\\,\\%,\\,15\\,\\%]\\tag{8.2}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">entrepreneur</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mopen\"><span class=\"delimsizing size1\">(</span></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">directs</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">indirects</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\"><span class=\"delimsizing size1\">)</span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7335em;vertical-align:-0.1944em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1132em;\">τ</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.1132em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">P</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mpunct\">,</span><span class=\"mspace\" style=\"margin-right:2em;\"></span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1132em;\">τ</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.1132em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">P</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">∈</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mopen\">[</span><span class=\"mord\">8</span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord\">%</span><span class=\"mpunct\">,</span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord\">15</span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord\">%</span><span class=\"mclose\">]</span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">8.2</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p8-61\">La base est le <strong>sous-total directs + indirects</strong>, jamais les directs seuls ni le prix de vente.</p>", "url": "/seance/08/#form-8-2"}, {"id": "form-form-8-3", "type": "form", "ch": "08", "num": "Formule 8.3", "front": "coût total de construction", "back": "<div class=\"eq\" id=\"eq-8-3\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mtable rowspacing=\"0.25em\" columnalign=\"right left\" columnspacing=\"0em\"><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><msub><mi>C</mi><mtext>total</mtext></msub></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mo>=</mo><msub><mi>C</mi><mtext>directs</mtext></msub><mo>+</mo><msub><mi>C</mi><mtext>indirects</mtext></msub><mo>+</mo><msub><mi>P</mi><mtext>entrepreneur</mtext></msub></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><msub><mi>C</mi><mtext>indirects</mtext></msub></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mo>=</mo><mtext>honoraires</mtext><mo>+</mo><mtext>financement</mtext><mo>+</mo><mtext>taxes/permis</mtext></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow></mrow></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mspace width=\"1em\"/><mo>+</mo><mrow><mtext>assurances/l</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>gal</mtext></mrow><mo>+</mo><mtext>marketing/admin</mtext></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><msub><mi>P</mi><mtext>entrepreneur</mtext></msub></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mo>=</mo><mo stretchy=\"false\">(</mo><msub><mi>C</mi><mtext>directs</mtext></msub><mo>+</mo><msub><mi>C</mi><mtext>indirects</mtext></msub><mo stretchy=\"false\">)</mo><mo>×</mo><msub><mi>τ</mi><mi>P</mi></msub></mrow></mstyle></mtd></mtr></mtable></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(8.3)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">\\begin{aligned}C_{\\text{total}} &amp;= C_{\\text{directs}} + C_{\\text{indirects}} +\nP_{\\text{entrepreneur}}\\\\\nC_{\\text{indirects}} &amp;= \\text{honoraires} + \\text{financement} +\n\\text{taxes/permis}\\\\\n&amp;\\quad + \\text{assurances/légal} + \\text{marketing/admin}\\\\\nP_{\\text{entrepreneur}} &amp;= (C_{\\text{directs}} + C_{\\text{indirects}})\n\\times \\tau_P\\end{aligned}\\tag{8.3}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:5.7em;vertical-align:-2.6em;\"></span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-r\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:3.1em;\"><span style=\"top:-5.26em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">total</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span><span style=\"top:-3.76em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">indirects</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span><span style=\"top:-2.26em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"></span></span><span style=\"top:-0.76em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">entrepreneur</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:2.6em;\"><span></span></span></span></span></span><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:3.1em;\"><span style=\"top:-5.26em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">directs</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">indirects</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">entrepreneur</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span><span style=\"top:-3.76em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mord text\"><span class=\"mord\">honoraires</span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord text\"><span class=\"mord\">financement</span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord text\"><span class=\"mord\">taxes/permis</span></span></span></span><span style=\"top:-2.26em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mspace\" style=\"margin-right:1em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord text\"><span class=\"mord\">assurances/l</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">gal</span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord text\"><span class=\"mord\">marketing/admin</span></span></span></span><span style=\"top:-0.76em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mopen\">(</span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">directs</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">indirects</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\">)</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1132em;\">τ</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.1132em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">P</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:2.6em;\"><span></span></span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:5.7em;vertical-align:-2.6em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">8.3</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p8-66\">et, pour boucler la méthode du coût : <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>V</mi><mo>=</mo><msub><mi>V</mi><mtext>terrain</mtext></msub><mo>+</mo><mo stretchy=\"false\">(</mo><msub><mi>C</mi><mtext>total</mtext></msub><mo>−</mo><msub><mi>D</mi><mtext>totale</mtext></msub><mo stretchy=\"false\">)</mo></mrow><annotation encoding=\"application/x-tex\">V = V_{\\text{terrain}} + (C_{\\text{total}} - D_{\\text{totale}})</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">terrain</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mopen\">(</span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">total</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\">)</span></span></span></span> — le coût total est le <strong>coût neuf</strong> avant dépréciation.</p>", "url": "/seance/08/#form-8-3"}, {"id": "form-form-9-1", "type": "form", "ch": "09", "num": "Formule 9.1", "front": "décomposition de la dépréciation totale", "back": "<div class=\"eq\" id=\"eq-9-2\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mtext>totale</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>D</mi><mtext>physique</mtext></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><msub><mi>D</mi><mtext>fonctionnelle</mtext></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><msub><mi>D</mi><mtext>externe</mtext></msub></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(9.2)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{totale}} \\;=\\; D_{\\text{physique}} \\;+\\; D_{\\text{fonctionnelle}}\n\\;+\\; D_{\\text{externe}}\\tag{9.2}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">physique</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fonctionnelle</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">externe</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">9.2</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p9-19\">Chaque type se subdivise en <strong>curable</strong> et <strong>incurable</strong> — sauf l'externe, toujours incurable.</p>", "url": "/seance/09/#form-9-1"}, {"id": "form-form-9-2", "type": "form", "ch": "09", "num": "Formule 9.2", "front": "relation fondamentale des durées de vie", "back": "<div class=\"eq\" id=\"eq-9-3\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><mrow><mtext>Vie </mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>conomique totale</mtext></mrow><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mrow><mover accent=\"true\"><mtext>A</mtext><mo>ˆ</mo></mover><mtext>ge effectif</mtext></mrow><mtext>  </mtext><mo>+</mo><mtext>  </mtext><mrow><mtext>Vie </mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>conomique restante</mtext></mrow></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(9.3)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">\\text{Vie économique totale} \\;=\\; \\text{Âge effectif} \\;+\\;\n\\text{Vie économique restante}\\tag{9.3}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"></span><span class=\"mord text\"><span class=\"mord\">Vie </span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">conomique totale</span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.1412em;vertical-align:-0.1944em;\"></span><span class=\"mord text\"><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9468em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">A</span></span><span style=\"top:-3.2523em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">ge effectif</span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"></span><span class=\"mord text\"><span class=\"mord\">Vie </span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">conomique restante</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.1968em;vertical-align:-0.25em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">9.3</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/09/#form-9-2"}, {"id": "form-form-9-3", "type": "form", "ch": "09", "num": "Formule 9.3", "front": "méthode âge-vie", "back": "<div class=\"eq\" id=\"eq-9-4\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><mi>D</mi><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mfrac><mrow><mover accent=\"true\"><mtext>A</mtext><mo>ˆ</mo></mover><mtext>ge effectif</mtext></mrow><mrow><mtext>Vie </mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>conomique totale</mtext></mrow></mfrac><mo>×</mo><msub><mi>C</mi><mtext>neuf</mtext></msub></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(9.4)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D \\;=\\; \\frac{\\text{Âge effectif}}{\\text{Vie économique totale}}\n\\times C_{\\text{neuf}}\\tag{9.4}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.5042em;vertical-align:-0.8804em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.6238em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Vie </span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">conomique totale</span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9468em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">A</span></span><span style=\"top:-3.2523em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">ge effectif</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8804em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">neuf</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.5042em;vertical-align:-0.8804em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">9.4</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/09/#form-9-3"}, {"id": "form-form-9-4", "type": "form", "ch": "09", "num": "Formule 9.4", "front": "méthode âge-vie modifiée", "back": "<div class=\"eq\" id=\"eq-9-5\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mtext>totale</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>D</mi><mrow><mtext>phys.</mtext><mtext> </mtext><mtext>curable</mtext></mrow></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><mfrac><mrow><mover accent=\"true\"><mtext>A</mtext><mo>ˆ</mo></mover><mtext>ge effectif</mtext></mrow><mrow><mtext>Vie </mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>conomique totale</mtext></mrow></mfrac><mo>×</mo><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(</mo><msub><mi>C</mi><mtext>neuf</mtext></msub><mo>−</mo><msub><mi>D</mi><mrow><mtext>phys.</mtext><mtext> </mtext><mtext>curable</mtext></mrow></msub><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)</mo></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(9.5)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{totale}} \\;=\\; D_{\\text{phys.\\,curable}} \\;+\\;\n\\frac{\\text{Âge effectif}}{\\text{Vie économique totale}}\n\\times \\bigl(C_{\\text{neuf}} - D_{\\text{phys.\\,curable}}\\bigr)\\tag{9.5}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">phys.</span><span class=\"mspace mtight\" style=\"margin-right:0.2381em;\"></span><span class=\"mord mtight\">curable</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.5042em;vertical-align:-0.8804em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.6238em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Vie </span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">conomique totale</span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9468em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">A</span></span><span style=\"top:-3.2523em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">ge effectif</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8804em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mopen\"><span class=\"delimsizing size1\">(</span></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">neuf</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">phys.</span><span class=\"mspace mtight\" style=\"margin-right:0.2381em;\"></span><span class=\"mord mtight\">curable</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mclose\"><span class=\"delimsizing size1\">)</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.5042em;vertical-align:-0.8804em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">9.5</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p9-56\">On mesure d'abord <strong>directement</strong> l'entretien différé (coût de remise en état), puis on applique le ratio âge-vie au <strong>solde</strong> du coût neuf — la portion non déjà dépréciée par ce constat.</p>", "url": "/seance/09/#form-9-4"}, {"id": "form-form-9-5", "type": "form", "ch": "09", "num": "Formule 9.5", "front": "extraction de la dépréciation du marché", "back": "<div class=\"eq\" id=\"eq-9-6\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mtext>extraite</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>C</mi><mtext>neuf</mtext></msub><mtext>  </mtext><mo>−</mo><mtext>  </mtext><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(</mo><msub><mi>P</mi><mtext>vente</mtext></msub><mo>−</mo><msub><mi>V</mi><mtext>terrain</mtext></msub><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)</mo></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(9.6)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{extraite}} \\;=\\; C_{\\text{neuf}} \\;-\\;\n\\bigl(P_{\\text{vente}} - V_{\\text{terrain}}\\bigr)\\tag{9.6}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">extraite</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">neuf</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mopen\"><span class=\"delimsizing size1\">(</span></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">vente</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">terrain</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\"><span class=\"delimsizing size1\">)</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">9.6</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p9-61\">Divisée par le coût neuf puis par l'âge, elle livre un <strong>taux annuel moyen</strong> applicable au sujet.</p>", "url": "/seance/09/#form-9-5"}, {"id": "form-form-10-1", "type": "form", "ch": "10", "num": "Formule 10.1", "front": "formule fondamentale de la méthode du coût", "back": "<div class=\"eq\" id=\"eq-10-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><mi>V</mi><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>V</mi><mtext>terrain</mtext></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(</mo><mrow><mtext>Co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t neuf</mtext></mrow><mo>−</mo><mrow><mtext>D</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>pr</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>ciation totale</mtext></mrow><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)</mo></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(10.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">V \\;=\\; V_{\\text{terrain}} \\;+\\; \\bigl(\\text{Coût neuf} - \\text{Dépréciation totale}\\bigr)\\tag{10.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">terrain</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mopen\"><span class=\"delimsizing size1\">(</span></span><span class=\"mord text\"><span class=\"mord\">Co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">t neuf</span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord text\"><span class=\"mord\">D</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">pr</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">ciation totale</span></span><span class=\"mclose\"><span class=\"delimsizing size1\">)</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">10.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p10-10\">où la dépréciation totale se décompose en trois formes :</p>\n<div class=\"eq\" id=\"eq-10-2\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mtext>totale</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>D</mi><mtext>physique</mtext></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><msub><mi>D</mi><mtext>fonctionnelle</mtext></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><msub><mi>D</mi><mrow><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>conomique</mtext></mrow></msub></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(10.2)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{totale}} \\;=\\; D_{\\text{physique}} \\;+\\; D_{\\text{fonctionnelle}} \\;+\\; D_{\\text{économique}}\\tag{10.2}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">physique</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fonctionnelle</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">conomique</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">10.2</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/10/#form-10-1"}, {"id": "form-form-10-2", "type": "form", "ch": "10", "num": "Formule 10.2", "front": "dépréciation physique curable", "back": "<div class=\"eq\" id=\"eq-10-3\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mtext>curable</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><munderover><mo>∑</mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover><msub><mrow><mtext>Co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t de r</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>paration</mtext></mrow><mi>i</mi></msub><mspace width=\"2em\"/><mrow><mtext>(items d’entretien diff</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>r</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>)</mtext></mrow></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(10.3)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{curable}} \\;=\\; \\sum_{i=1}^{n} \\text{Coût de réparation}_i\n\\qquad \\text{(items d&#x27;entretien différé)}\\tag{10.3}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">curable</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.9291em;vertical-align:-1.2777em;\"></span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.6514em;\"><span style=\"top:-1.8723em;margin-left:0em;\"><span class=\"pstrut\" style=\"height:3.05em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i</span><span class=\"mrel mtight\">=</span><span class=\"mord mtight\">1</span></span></span></span><span style=\"top:-3.05em;\"><span class=\"pstrut\" style=\"height:3.05em;\"></span><span><span class=\"mop op-symbol large-op\">∑</span></span></span><span style=\"top:-4.3em;margin-left:0em;\"><span class=\"pstrut\" style=\"height:3.05em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.2777em;\"><span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">t de r</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">paration</span></span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2175em;\"><span style=\"top:-2.4559em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2441em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:2em;\"></span><span class=\"mord text\"><span class=\"mord\">(items d’entretien diff</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">r</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">)</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.9291em;vertical-align:-1.2777em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">10.3</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/10/#form-10-2"}, {"id": "form-form-10-3", "type": "form", "ch": "10", "num": "Formule 10.3", "front": "incurable court terme, par composante", "back": "<p id=\"p10-43\">Pour chaque composante <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>j</mi></mrow><annotation encoding=\"application/x-tex\">j</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.854em;vertical-align:-0.1944em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.0572em;\">j</span></span></span></span> à courte durée de vie non classée curable :</p>\n<div class=\"eq\" id=\"eq-10-4\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mrow><mtext>CT</mtext><mo separator=\"true\">,</mo><mi>j</mi></mrow></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mrow><mtext>Co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t neuf</mtext></mrow><mi>j</mi></msub><mo>×</mo><mfrac><msub><mrow><mover accent=\"true\"><mtext>A</mtext><mo>ˆ</mo></mover><mtext>ge effectif</mtext></mrow><mi>j</mi></msub><msub><mrow><mtext>Dur</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>e de vie utile</mtext></mrow><mi>j</mi></msub></mfrac><mo separator=\"true\">,</mo><mspace width=\"2em\"/><mfrac><msub><mrow><mover accent=\"true\"><mtext>A</mtext><mo>ˆ</mo></mover><mtext>ge effectif</mtext></mrow><mi>j</mi></msub><msub><mrow><mtext>Dur</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>e de vie</mtext></mrow><mi>j</mi></msub></mfrac><mo>≤</mo><mn>100</mn><mtext> </mtext><mi mathvariant=\"normal\">%</mi></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(10.4)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{CT},j} \\;=\\; \\text{Coût neuf}_j \\times\n\\frac{\\text{Âge effectif}_j}{\\text{Durée de vie utile}_j},\n\\qquad \\frac{\\text{Âge effectif}_j}{\\text{Durée de vie}_j} \\leq 100\\,\\%\\tag{10.4}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">CT</span></span><span class=\"mpunct mtight\">,</span><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9805em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">t neuf</span></span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.6891em;vertical-align:-0.9721em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.717em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Dur</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">e de vie utile</span></span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.7702em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9468em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">A</span></span><span style=\"top:-3.2523em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">ge effectif</span></span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2175em;\"><span style=\"top:-2.4559em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3802em;\"><span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9721em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span><span class=\"mpunct\">,</span><span class=\"mspace\" style=\"margin-right:2em;\"></span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.717em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Dur</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">e de vie</span></span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.7702em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9468em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">A</span></span><span style=\"top:-3.2523em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">ge effectif</span></span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2175em;\"><span style=\"top:-2.4559em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3802em;\"><span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9721em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">≤</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8056em;vertical-align:-0.0556em;\"></span><span class=\"mord\">100</span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord\">%</span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.6891em;vertical-align:-0.9721em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">10.4</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/10/#form-10-3"}, {"id": "form-form-10-4", "type": "form", "ch": "10", "num": "Formule 10.4", "front": "incurable long terme — formule résiduelle", "back": "<div class=\"eq\" id=\"eq-10-5\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mtext>LT</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><munder><munder><mrow><mo fence=\"true\" stretchy=\"true\" minsize=\"1.8em\" maxsize=\"1.8em\">(</mo><mrow><mtext>Co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t total</mtext></mrow><mo>−</mo><msub><mi>D</mi><mtext>curable</mtext></msub><mo>−</mo><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mo>∑</mo><mrow><mtext>Co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>ts neufs CT</mtext></mrow><mo fence=\"true\" stretchy=\"true\" minsize=\"1.8em\" maxsize=\"1.8em\">)</mo></mstyle></mrow><mo stretchy=\"true\">⏟</mo></munder><mrow><mtext>co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t r</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>siduel (composantes </mtext><mover accent=\"true\"><mtext>a</mtext><mo>ˋ</mo></mover><mtext> longue vie)</mtext></mrow></munder><mo>×</mo><mfrac><msub><mrow><mover accent=\"true\"><mtext>A</mtext><mo>ˆ</mo></mover><mtext>ge effectif</mtext></mrow><mrow><mtext>b</mtext><mover accent=\"true\"><mtext>a</mtext><mo>ˆ</mo></mover><mtext>timent</mtext></mrow></msub><mrow><mtext>Dur</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>e de vie </mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>conomique</mtext></mrow></mfrac></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(10.5)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{LT}} \\;=\\; \\underbrace{\\Bigl(\\text{Coût total} - D_{\\text{curable}}\n- \\textstyle\\sum \\text{Coûts neufs CT}\\Bigr)}_{\\text{coût résiduel (composantes à longue vie)}}\n\\times \\frac{\\text{Âge effectif}_{\\text{bâtiment}}}{\\text{Durée de vie économique}}\\tag{10.5}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">LT</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:3.348em;vertical-align:-2.198em;\"></span><span class=\"minner munder\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.15em;\"><span style=\"top:-1.127em;\"><span class=\"pstrut\" style=\"height:3.15em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">co</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">u</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˆ</span></span></span></span></span></span></span><span class=\"mord mtight\">t r</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">siduel (composantes </span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">a</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˋ</span></span></span></span></span></span></span><span class=\"mord mtight\"> longue vie)</span></span></span></span></span><span style=\"top:-3.15em;\"><span class=\"pstrut\" style=\"height:3.15em;\"></span><span class=\"minner munder\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.15em;\"><span class=\"svg-align\" style=\"top:-1.852em;\"><span class=\"pstrut\" style=\"height:3.15em;\"></span><span class=\"katex-stretchy\" style=\"height:0.548em;min-width:1.6em;\"><span class=\"brace-left\" style=\"height:0.548em;\"><svg xmlns=\"http://www.w3.org/2000/svg\" width=\"400em\" height=\"0.548em\" viewBox=\"0 0 400000 548\" preserveAspectRatio=\"xMinYMin slice\"><path d=\"M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z\"/></svg></span><span class=\"brace-center\" style=\"height:0.548em;\"><svg xmlns=\"http://www.w3.org/2000/svg\" width=\"400em\" height=\"0.548em\" viewBox=\"0 0 400000 548\" preserveAspectRatio=\"xMidYMin slice\"><path d=\"M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z\"/></svg></span><span class=\"brace-right\" style=\"height:0.548em;\"><svg xmlns=\"http://www.w3.org/2000/svg\" width=\"400em\" height=\"0.548em\" viewBox=\"0 0 400000 548\" preserveAspectRatio=\"xMaxYMin slice\"><path d=\"M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z\"/></svg></span></span></span><span style=\"top:-3.15em;\"><span class=\"pstrut\" style=\"height:3.15em;\"></span><span class=\"mord\"><span class=\"mopen\"><span class=\"delimsizing size2\">(</span></span><span class=\"mord text\"><span class=\"mord\">Co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">t total</span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">curable</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mop op-symbol small-op\" style=\"position:relative;top:0em;\">∑</span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord text\"><span class=\"mord\">Co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">ts neufs CT</span></span><span class=\"mclose\"><span class=\"delimsizing size2\">)</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.298em;\"><span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:2.198em;\"><span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.5042em;vertical-align:-0.8804em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.6238em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Dur</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">e de vie </span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">conomique</span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9468em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">A</span></span><span style=\"top:-3.2523em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">ge effectif</span></span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.242em;\"><span style=\"top:-2.4559em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">b</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">a</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˆ</span></span></span></span></span></span></span><span class=\"mord mtight\">timent</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2441em;\"><span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8804em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:3.8218em;vertical-align:-2.198em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">10.5</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p10-55\">L'âge effectif et la durée de vie sont ici ceux du <strong>bâtiment global</strong>, non d'une composante.</p>", "url": "/seance/10/#form-10-4"}, {"id": "form-form-10-5", "type": "form", "ch": "10", "num": "Formule 10.5", "front": "méthode âge-vie", "back": "<p id=\"p10-60\">Un ratio unique appliqué au coût de remplacement total :</p>\n<div class=\"eq\" id=\"eq-10-6\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mtext>physique</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mrow><mtext>Co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t neuf</mtext></mrow><mo>×</mo><mfrac><mrow><mover accent=\"true\"><mtext>A</mtext><mo>ˆ</mo></mover><mtext>ge effectif</mtext></mrow><mrow><mtext>Dur</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>e de vie </mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>conomique</mtext></mrow></mfrac></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(10.6)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{physique}} \\;=\\; \\text{Coût neuf} \\times\n\\frac{\\text{Âge effectif}}{\\text{Durée de vie économique}}\\tag{10.6}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">physique</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7778em;vertical-align:-0.0833em;\"></span><span class=\"mord text\"><span class=\"mord\">Co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">t neuf</span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.5042em;vertical-align:-0.8804em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.6238em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Dur</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">e de vie </span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">conomique</span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9468em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">A</span></span><span style=\"top:-3.2523em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">ge effectif</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8804em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.5042em;vertical-align:-0.8804em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">10.6</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/10/#form-10-5"}, {"id": "form-form-10-6", "type": "form", "ch": "10", "num": "Formule 10.6", "front": "méthode âge-vie modifiée", "back": "<div class=\"eq\" id=\"eq-10-7\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mtext>totale</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>D</mi><mtext>curable</mtext></msub><mo>+</mo><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(</mo><mrow><mtext>Co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t neuf</mtext></mrow><mo>−</mo><msub><mi>D</mi><mtext>curable</mtext></msub><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)</mo><mo>×</mo><mfrac><mrow><mover accent=\"true\"><mtext>A</mtext><mo>ˆ</mo></mover><mtext>ge effectif</mtext></mrow><mrow><mtext>Dur</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>e de vie </mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>conomique</mtext></mrow></mfrac></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(10.7)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{totale}} \\;=\\; D_{\\text{curable}} +\n\\bigl(\\text{Coût neuf} - D_{\\text{curable}}\\bigr) \\times\n\\frac{\\text{Âge effectif}}{\\text{Durée de vie économique}}\\tag{10.7}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">curable</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mopen\"><span class=\"delimsizing size1\">(</span></span><span class=\"mord text\"><span class=\"mord\">Co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">t neuf</span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">curable</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\"><span class=\"delimsizing size1\">)</span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.5042em;vertical-align:-0.8804em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.6238em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Dur</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">e de vie </span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">conomique</span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9468em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">A</span></span><span style=\"top:-3.2523em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">ge effectif</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8804em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.5042em;vertical-align:-0.8804em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">10.7</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/10/#form-10-6"}, {"id": "form-form-11-1", "type": "form", "ch": "11", "num": "Formule 11.1", "front": "dépréciation curable par ajout", "back": "<div class=\"eq\" id=\"eq-11-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mtext>ajout</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mrow><mtext>co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t d’installation de l’</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>l</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>ment dans le b</mtext><mover accent=\"true\"><mtext>a</mtext><mo>ˆ</mo></mover><mtext>timent existant</mtext></mrow></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(11.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{ajout}} \\;=\\; \\text{coût d&#x27;installation de l&#x27;élément dans le\nbâtiment existant}\\tag{11.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">ajout</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"></span><span class=\"mord text\"><span class=\"mord\">co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">t d’installation de l’</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">l</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">ment dans le b</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">a</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">timent existant</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">11.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/11/#form-11-1"}, {"id": "form-form-11-2", "type": "form", "ch": "11", "num": "Formule 11.2", "front": "dépréciation curable par substitution", "back": "<div class=\"eq\" id=\"eq-11-2\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mtable rowspacing=\"0.25em\" columnalign=\"right left\" columnspacing=\"0em\"><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><msub><mi>D</mi><mtext>subst</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mrow></mrow></mrow></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mrow><mtext>co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t d’installation du remplacement dans l’existant</mtext></mrow></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mo>−</mo><mrow></mrow></mrow></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mrow><mtext>co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t d’installation dans une construction neuve</mtext></mrow></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mo>+</mo><mrow></mrow></mrow></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mrow><mtext>co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t de d</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>molition / retrait de l’</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>l</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>ment actuel</mtext></mrow></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mo>−</mo><mrow></mrow></mrow></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mrow><mtext>valeur r</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>cup</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>r</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>e de l’</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>l</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>ment retir</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover></mrow></mrow></mstyle></mtd></mtr></mtable></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(11.2)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">\\begin{aligned}D_{\\text{subst}} \\;=\\;{} &amp; \\text{coût d&#x27;installation du remplacement dans\nl&#x27;existant} \\\\\n{}-{} &amp; \\text{coût d&#x27;installation dans une construction neuve} \\\\\n{}+{} &amp; \\text{coût de démolition / retrait de l&#x27;élément actuel} \\\\\n{}-{} &amp; \\text{valeur récupérée de l&#x27;élément retiré}\\end{aligned}\\tag{11.2}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:5.7em;vertical-align:-2.6em;\"></span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-r\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:3.1em;\"><span style=\"top:-5.26em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">subst</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mord\"></span></span></span><span style=\"top:-3.76em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"></span></span></span><span style=\"top:-2.26em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"></span></span></span><span style=\"top:-0.76em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:2.6em;\"><span></span></span></span></span></span><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:3.1em;\"><span style=\"top:-5.26em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mord text\"><span class=\"mord\">co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">t d’installation du remplacement dans l’existant</span></span></span></span><span style=\"top:-3.76em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mord text\"><span class=\"mord\">co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">t d’installation dans une construction neuve</span></span></span></span><span style=\"top:-2.26em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mord text\"><span class=\"mord\">co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">t de d</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">molition / retrait de l’</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">l</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">ment actuel</span></span></span></span><span style=\"top:-0.76em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mord text\"><span class=\"mord\">valeur r</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">cup</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">r</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">e de l’</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">l</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">ment retir</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:2.6em;\"><span></span></span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:5.7em;vertical-align:-2.6em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">11.2</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/11/#form-11-2"}, {"id": "form-form-11-3", "type": "form", "ch": "11", "num": "Formule 11.3", "front": "dépréciation par superadéquation", "back": "<div class=\"eq\" id=\"eq-11-3\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mtable rowspacing=\"0.25em\" columnalign=\"right left\" columnspacing=\"0em\"><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><msub><mi>D</mi><mtext>super</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mrow></mrow></mrow></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mrow><mtext>co</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˆ</mo></mover><mtext>t de l’</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>l</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>ment superad</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>quat (dans le neuf)</mtext></mrow></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mo>−</mo><mrow></mrow></mrow></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mrow><mtext>d</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>pr</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>ciation physique sur cet </mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>l</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>ment</mtext></mrow></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mo>−</mo><mrow></mrow></mrow></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mrow><mtext>valeur ajout</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>e (contribution au march</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>)</mtext></mrow></mrow></mstyle></mtd></mtr></mtable></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(11.3)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">\\begin{aligned}D_{\\text{super}} \\;=\\;{} &amp; \\text{coût de l&#x27;élément superadéquat (dans le neuf)}\n\\\\\n{}-{} &amp; \\text{dépréciation physique sur cet élément} \\\\\n{}-{} &amp; \\text{valeur ajoutée (contribution au marché)}\\end{aligned}\\tag{11.3}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:4.2em;vertical-align:-1.85em;\"></span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-r\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:2.35em;\"><span style=\"top:-4.51em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1514em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">super</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mord\"></span></span></span><span style=\"top:-3.01em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"></span></span></span><span style=\"top:-1.51em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.85em;\"><span></span></span></span></span></span><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:2.35em;\"><span style=\"top:-4.51em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mord text\"><span class=\"mord\">co</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">t de l’</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">l</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">ment superad</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">quat (dans le neuf)</span></span></span></span><span style=\"top:-3.01em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mord text\"><span class=\"mord\">d</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">pr</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">ciation physique sur cet </span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">l</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">ment</span></span></span></span><span style=\"top:-1.51em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mord text\"><span class=\"mord\">valeur ajout</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">e (contribution au march</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">)</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.85em;\"><span></span></span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:4.2em;vertical-align:-1.85em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">11.3</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p11-43\">Autrement dit : <strong>coût neuf déprécié physiquement <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>−</mo></mrow><annotation encoding=\"application/x-tex\">-</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6667em;vertical-align:-0.0833em;\"></span><span class=\"mord\">−</span></span></span></span> contribution au marché</strong>.</p>", "url": "/seance/11/#form-11-3"}, {"id": "form-form-11-4", "type": "form", "ch": "11", "num": "Formule 11.4", "front": "obsolescence de conception — capitalisation de la perte", "back": "<p id=\"p11-55\">Méthode privilégiée — capitalisation de la perte de revenus :</p>\n<div class=\"eq\" id=\"eq-11-4\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mtext>conception</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mfrac><mtext>perte de loyer annuelle</mtext><mtext>TGA</mtext></mfrac><mtext>  </mtext><mo>−</mo><mtext>  </mtext><mtext>portion attribuable au terrain</mtext></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(11.4)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{conception}} \\;=\\;\n\\frac{\\text{perte de loyer annuelle}}{\\text{TGA}}\n\\;-\\; \\text{portion attribuable au terrain}\\tag{11.4}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">conception</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.0574em;vertical-align:-0.686em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3714em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">TGA</span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">perte de loyer annuelle</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.686em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"></span><span class=\"mord text\"><span class=\"mord\">portion attribuable au terrain</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.0574em;vertical-align:-0.686em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">11.4</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p11-56\">Méthode alternative — différence de valeur (ventes appariées) :</p>\n<div class=\"eq\" id=\"eq-11-5\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mtext>conception</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mtext>valeur avec plan moderne</mtext><mtext>  </mtext><mo>−</mo><mtext>  </mtext><mtext>valeur avec plan actuel</mtext></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(11.5)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{conception}} \\;=\\; \\text{valeur avec plan moderne}\n\\;-\\; \\text{valeur avec plan actuel}\\tag{11.5}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3175em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">conception</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"></span><span class=\"mord text\"><span class=\"mord\">valeur avec plan moderne</span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"></span><span class=\"mord text\"><span class=\"mord\">valeur avec plan actuel</span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">11.5</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/11/#form-11-4"}, {"id": "form-form-11-5", "type": "form", "ch": "11", "num": "Formule 11.5", "front": "dépréciation fonctionnelle totale", "back": "<div class=\"eq\" id=\"eq-11-6\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mtable rowspacing=\"0.25em\" columnalign=\"right left\" columnspacing=\"0em\"><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><msub><mi>D</mi><mtext>fonctionnelle</mtext></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mrow></mrow></mrow></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><msub><mi>D</mi><mtext>curable (ajouts)</mtext></msub><mo>+</mo><msub><mi>D</mi><mtext>curable (substitutions)</mtext></msub></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mo>+</mo><mrow></mrow></mrow></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><msub><mi>D</mi><mrow><mtext>incurable (superad</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>quation)</mtext></mrow></msub><mo>+</mo><msub><mi>D</mi><mtext>incurable (conception)</mtext></msub></mrow></mstyle></mtd></mtr></mtable></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(11.6)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">\\begin{aligned}D_{\\text{fonctionnelle}} \\;=\\;{} &amp; D_{\\text{curable (ajouts)}}\n+ D_{\\text{curable (substitutions)}} \\\\\n{}+{} &amp; D_{\\text{incurable (superadéquation)}}\n+ D_{\\text{incurable (conception)}}\\end{aligned}\\tag{11.6}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.7em;vertical-align:-1.1em;\"></span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-r\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.6em;\"><span style=\"top:-3.76em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fonctionnelle</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mord\"></span></span></span><span style=\"top:-2.26em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.1em;\"><span></span></span></span></span></span><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.6em;\"><span style=\"top:-3.76em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3448em;\"><span style=\"top:-2.5198em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">curable (ajouts)</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3552em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3448em;\"><span style=\"top:-2.5198em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">curable (substitutions)</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3552em;\"><span></span></span></span></span></span></span></span></span><span style=\"top:-2.26em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3448em;\"><span style=\"top:-2.5198em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">incurable (superad</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">quation)</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3552em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3448em;\"><span style=\"top:-2.5198em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">incurable (conception)</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3552em;\"><span></span></span></span></span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.1em;\"><span></span></span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.7em;vertical-align:-1.1em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">11.6</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>", "url": "/seance/11/#form-11-5"}, {"id": "form-form-12-1", "type": "form", "ch": "12", "num": "Formule 12.1", "front": "capitalisation de la perte de revenus", "back": "<div class=\"eq\" id=\"eq-12-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mrow><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>co totale</mtext></mrow></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><mfrac><mtext>Perte de revenu net annuelle</mtext><mtext>TGA</mtext></mfrac></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(12.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{éco totale}} \\;=\\;\n\\frac{\\text{Perte de revenu net annuelle}}{\\text{TGA}}\\tag{12.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">co totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.0574em;vertical-align:-0.686em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3714em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">TGA</span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Perte de revenu net annuelle</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.686em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.0574em;vertical-align:-0.686em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">12.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p12-44\">où la perte de revenu <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>=</mo></mrow><annotation encoding=\"application/x-tex\">=</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.3669em;\"></span><span class=\"mrel\">=</span></span></span></span> revenu normal (sans le facteur externe) <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>−</mo></mrow><annotation encoding=\"application/x-tex\">-</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6667em;vertical-align:-0.0833em;\"></span><span class=\"mord\">−</span></span></span></span> revenu réel (avec le facteur), après dépenses, et où le TGA est le taux global d'actualisation du marché pour ce type de propriété.</p>", "url": "/seance/12/#form-12-1"}, {"id": "form-form-12-2", "type": "form", "ch": "12", "num": "Formule 12.2", "front": "allocation par la méthode du ratio", "back": "<div class=\"eq\" id=\"eq-12-2\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>D</mi><mrow><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>co, am</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>liorations</mtext></mrow></msub><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>D</mi><mrow><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>co, totale</mtext></mrow></msub><mo>×</mo><mfrac><mrow><mtext>Valeur des am</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>liorations</mtext></mrow><mrow><mtext>Valeur totale de la propri</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>t</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover></mrow></mfrac></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(12.2)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D_{\\text{éco, améliorations}} \\;=\\; D_{\\text{éco, totale}} \\times\n\\frac{\\text{Valeur des améliorations}}{\\text{Valeur totale de la propriété}}\\tag{12.2}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">co, am</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">liorations</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">co, totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.2519em;vertical-align:-0.8804em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3714em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Valeur totale de la propri</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">t</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Valeur des am</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">liorations</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8804em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.2519em;vertical-align:-0.8804em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">12.2</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p12-60\">Le ratio se calcule sur les valeurs <strong>avant</strong> dépréciation économique; le complément (portion terrain) est reflété dans la valeur du terrain.</p>", "url": "/seance/12/#form-12-2"}, {"id": "form-form-12-3", "type": "form", "ch": "12", "num": "Formule 12.3", "front": "formule complète de la méthode du coût", "back": "<div class=\"eq\" id=\"eq-12-3\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><menclose notation=\"box\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mtext>  </mtext><mi>V</mi><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>V</mi><mi>T</mi></msub><mtext>  </mtext><mo>+</mo><mtext>  </mtext><mo fence=\"true\" stretchy=\"true\" minsize=\"1.8em\" maxsize=\"1.8em\">[</mo><mtext> </mtext><msub><mi>C</mi><mi>N</mi></msub><mo>−</mo><msub><mi>D</mi><mtext>phys</mtext></msub><mo>−</mo><msub><mi>D</mi><mtext>fonc</mtext></msub><mo>−</mo><msub><mi>D</mi><mrow><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>co(am</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>l.)</mtext></mrow></msub><mtext> </mtext><mo fence=\"true\" stretchy=\"true\" minsize=\"1.8em\" maxsize=\"1.8em\">]</mo><mtext>  </mtext></mrow></mstyle></mstyle></mstyle></menclose></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(12.3)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">\\boxed{\\;V \\;=\\; V_T \\;+\\;\n\\Bigl[\\, C_N - D_{\\text{phys}} - D_{\\text{fonc}} - D_{\\text{éco(amél.)}} \\,\\Bigr]\\;}\\tag{12.3}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.48em;vertical-align:-0.99em;\"></span><span class=\"mord\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.49em;\"><span style=\"top:-4.48em;\"><span class=\"pstrut\" style=\"height:4.48em;\"></span><span class=\"boxpad\"><span class=\"mord\"><span class=\"mord\"><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mopen\"><span class=\"delimsizing size2\">[</span></span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">phys</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fonc</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3448em;\"><span style=\"top:-2.5198em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">co(am</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">l.)</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3552em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mclose\"><span class=\"delimsizing size2\">]</span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span></span></span></span><span style=\"top:-3.49em;\"><span class=\"pstrut\" style=\"height:4.48em;\"></span><span class=\"katex-stretchy fbox\" style=\"height:2.48em;border-style:solid;border-width:0.04em;\"></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.99em;\"><span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.48em;vertical-align:-0.99em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">12.3</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p12-80\">où <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>V</mi></mrow><annotation encoding=\"application/x-tex\">V</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span></span></span></span> est la valeur estimée de la propriété; <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>V</mi><mi>T</mi></msub></mrow><annotation encoding=\"application/x-tex\">V_T</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> la valeur du terrain (déjà ajustée pour la dépréciation économique, s'il y a lieu); <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>C</mi><mi>N</mi></msub></mrow><annotation encoding=\"application/x-tex\">C_N</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> le coût neuf (reproduction ou remplacement); <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>D</mi><mtext>phys</mtext></msub></mrow><annotation encoding=\"application/x-tex\">D_{\\text{phys}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">phys</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span></span> et <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>D</mi><mtext>fonc</mtext></msub></mrow><annotation encoding=\"application/x-tex\">D_{\\text{fonc}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fonc</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> les dépréciations physique et fonctionnelle (curable <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>+</mo></mrow><annotation encoding=\"application/x-tex\">+</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6667em;vertical-align:-0.0833em;\"></span><span class=\"mord\">+</span></span></span></span> incurable); et <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>D</mi><mrow><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>co(am</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>l.)</mtext></mrow></msub></mrow><annotation encoding=\"application/x-tex\">D_{\\text{éco(amél.)}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.0385em;vertical-align:-0.3552em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3448em;\"><span style=\"top:-2.5198em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">co(am</span><span class=\"mord katex-accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"mord mtight\">e</span></span><span style=\"top:-2.7em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord mtight\">ˊ</span></span></span></span></span></span></span><span class=\"mord mtight\">l.)</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3552em;\"><span></span></span></span></span></span></span></span></span></span> la dépréciation économique, <strong>portion améliorations seulement</strong> — la portion terrain étant reflétée dans <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>V</mi><mi>T</mi></msub></mrow><annotation encoding=\"application/x-tex\">V_T</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span>.</p>", "url": "/seance/12/#form-12-3"}, {"id": "form-form-13-1", "type": "form", "ch": "13", "num": "Formule 13.1", "front": "dépréciation des améliorations locatives", "back": "<p id=\"p13-75\">La durée de vie économique des améliorations locatives est <strong class=\"c-rouge\">limitée par la durée du bail</strong>, et non par leur durée de vie physique :</p>\n<div class=\"eq\" id=\"eq-13-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><mi>D</mi><mo>=</mo><mfrac><mrow><mover accent=\"true\"><mtext>A</mtext><mo>ˆ</mo></mover><mtext>ge effectif</mtext></mrow><mrow><mi>min</mi><mo>⁡</mo><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(</mo><mrow><mtext>Dur</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>e de vie physique</mtext></mrow><mo separator=\"true\">,</mo><mtext> </mtext><mrow><mtext>Dur</mtext><mover accent=\"true\"><mtext>e</mtext><mo>ˊ</mo></mover><mtext>e de bail restante</mtext></mrow><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)</mo></mrow></mfrac></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(13.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">D = \\frac{\\text{Âge effectif}}\n         {\\min\\bigl(\\text{Durée de vie physique},\\ \\text{Durée de bail restante}\\bigr)}\\tag{13.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.7138em;vertical-align:-1.09em;\"></span><span class=\"mord\"><span class=\"mopen nulldelimiter\"></span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.6238em;\"><span style=\"top:-2.26em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mop\">min</span><span class=\"mopen\"><span class=\"delimsizing size1\">(</span></span><span class=\"mord text\"><span class=\"mord\">Dur</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">e de vie physique</span></span><span class=\"mpunct\">,</span><span class=\"mspace\"> </span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord text\"><span class=\"mord\">Dur</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">e</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˊ</span></span></span></span></span></span></span><span class=\"mord\">e de bail restante</span></span><span class=\"mclose\"><span class=\"delimsizing size1\">)</span></span></span></span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"></span></span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9468em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">A</span></span><span style=\"top:-3.2523em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˆ</span></span></span></span></span></span></span><span class=\"mord\">ge effectif</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.09em;\"><span></span></span></span></span></span><span class=\"mclose nulldelimiter\"></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.7138em;vertical-align:-1.09em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">13.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<div class=\"center\"><div class=\"table-wrap\"><table class=\"tbl\"><thead><tr><th>Variable</th><th>Signification</th></tr></thead><tbody><tr><td><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>D</mi></mrow><annotation encoding=\"application/x-tex\">D</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span></span></span></span></td><td>Taux de dépréciation à appliquer au coût des améliorations</td></tr><tr><td>Âge effectif</td><td>Âge des améliorations, corrigé de leur état</td></tr><tr><td>Durée de bail restante</td><td>Terme restant, options incluses si leur exercice est probable</td></tr></tbody></table></div></div>", "url": "/seance/13/#form-13-1"}, {"id": "form-form-14-1", "type": "form", "ch": "14", "num": "Formule 14.1", "front": "formule fondamentale de la méthode du coût", "back": "<div class=\"eq\" id=\"eq-14-1\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><menclose notation=\"box\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mtext> </mtext><mi>V</mi><mtext>  </mtext><mo>=</mo><mtext>  </mtext><msub><mi>V</mi><mi>T</mi></msub><mo>+</mo><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(</mo><msub><mi>C</mi><mi>N</mi></msub><mo>−</mo><msub><mi>D</mi><mtext>totale</mtext></msub><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)</mo><mtext> </mtext></mrow></mstyle></mstyle></mstyle></menclose><mspace width=\"2em\"/><mrow><mtext>o</mtext><mover accent=\"true\"><mtext>u</mtext><mo>ˋ</mo></mover></mrow><mspace width=\"2em\"/><msub><mi>D</mi><mtext>totale</mtext></msub><mo>=</mo><msub><mi>D</mi><mtext>phys</mtext></msub><mo>+</mo><msub><mi>D</mi><mtext>fonc</mtext></msub><mo>+</mo><msub><mi>D</mi><mtext>ext</mtext></msub></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(14.1)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">\\boxed{\\,V \\;=\\; V_T + \\bigl(C_N - D_{\\text{totale}}\\bigr)\\,}\n\\qquad\\text{où}\\qquad\nD_{\\text{totale}} = D_{\\text{phys}} + D_{\\text{fonc}} + D_{\\text{ext}}\\tag{14.1}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.88em;vertical-align:-0.69em;\"></span><span class=\"mord\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.19em;\"><span style=\"top:-3.88em;\"><span class=\"pstrut\" style=\"height:3.88em;\"></span><span class=\"boxpad\"><span class=\"mord\"><span class=\"mord\"><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mopen\"><span class=\"delimsizing size1\">(</span></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\"><span class=\"delimsizing size1\">)</span></span><span class=\"mspace\" style=\"margin-right:0.1667em;\"></span></span></span></span></span><span style=\"top:-3.19em;\"><span class=\"pstrut\" style=\"height:3.88em;\"></span><span class=\"katex-stretchy fbox\" style=\"height:1.88em;border-style:solid;border-width:0.04em;\"></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.69em;\"><span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:2em;\"></span><span class=\"mord text\"><span class=\"mord\">o</span><span class=\"mord katex-accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.6944em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\">u</span></span><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"accent-body\" style=\"left:-0.25em;\"><span class=\"mord\">ˋ</span></span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:2em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">totale</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">phys</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fonc</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">ext</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1.88em;vertical-align:-0.69em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">14.1</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<div class=\"center\"><div class=\"table-wrap\"><table class=\"tbl\"><thead><tr><th>Variable</th><th>Signification</th></tr></thead><tbody><tr><td><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>V</mi></mrow><annotation encoding=\"application/x-tex\">V</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span></span></span></span></td><td>Valeur estimée de la propriété</td></tr><tr><td><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>V</mi><mi>T</mi></msub></mrow><annotation encoding=\"application/x-tex\">V_T</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span></td><td>Valeur du terrain (comme s'il était vacant, à son utilisation optimale)</td></tr><tr><td><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>C</mi><mi>N</mi></msub></mrow><annotation encoding=\"application/x-tex\">C_N</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span></td><td>Coût neuf des améliorations (remplacement ou reproduction)</td></tr><tr><td><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>D</mi><mtext>phys</mtext></msub></mrow><annotation encoding=\"application/x-tex\">D_{\\text{phys}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">phys</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span></span></td><td>Dépréciation physique (curable, incurable CT et LT)</td></tr><tr><td><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>D</mi><mtext>fonc</mtext></msub></mrow><annotation encoding=\"application/x-tex\">D_{\\text{fonc}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fonc</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span></td><td>Dépréciation fonctionnelle (curable, incurable)</td></tr><tr><td><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>D</mi><mtext>ext</mtext></msub></mrow><annotation encoding=\"application/x-tex\">D_{\\text{ext}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">ext</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span></td><td>Dépréciation externe/économique (améliorations seulement)</td></tr></tbody></table></div></div>", "url": "/seance/14/#form-14-1"}, {"id": "form-form-14-2", "type": "form", "ch": "14", "num": "Formule 14.2", "front": "coût neuf total", "back": "<div class=\"eq\" id=\"eq-14-2\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mrow><msub><mi>C</mi><mi>N</mi></msub><mo>=</mo><msub><mi>C</mi><mtext>directs</mtext></msub><mo>+</mo><msub><mi>C</mi><mtext>indirects</mtext></msub><mo>+</mo><mtext>Profit</mtext><mo>=</mo><mn>1</mn><mtext> </mtext><mn>350</mn><mtext> </mtext><mn>000</mn><mo>+</mo><mn>256</mn><mtext> </mtext><mn>500</mn><mo>+</mo><mn>192</mn><mtext> </mtext><mn>780</mn><mo>=</mo><mn>1</mn><mtext> </mtext><mn>799</mn><mtext> </mtext><mn>280</mn><mtext> </mtext><mi mathvariant=\"normal\">$</mi></mrow></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(14.2)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">C_N = C_{\\text{directs}} + C_{\\text{indirects}} + \\text{Profit}\n= 1~350~000 + 256~500 + 192~780 = 1~799~280~\\$\\tag{14.2}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">directs</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">indirects</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"></span><span class=\"mord text\"><span class=\"mord\">Profit</span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7278em;vertical-align:-0.0833em;\"></span><span class=\"mord\">1</span><span class=\"mspace nobreak\"> </span><span class=\"mord\">350</span><span class=\"mspace nobreak\"> </span><span class=\"mord\">000</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7278em;vertical-align:-0.0833em;\"></span><span class=\"mord\">256</span><span class=\"mspace nobreak\"> </span><span class=\"mord\">500</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6444em;\"></span><span class=\"mord\">192</span><span class=\"mspace nobreak\"> </span><span class=\"mord\">780</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8056em;vertical-align:-0.0556em;\"></span><span class=\"mord\">1</span><span class=\"mspace nobreak\"> </span><span class=\"mord\">799</span><span class=\"mspace nobreak\"> </span><span class=\"mord\">280</span><span class=\"mspace nobreak\"> </span><span class=\"mord\">$</span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">14.2</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p14-26\">arrondi à <strong class=\"c-vert\">1 800 000 $</strong>. Vérification de cohérence : <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mn>1</mn><mtext> </mtext><mn>800</mn><mtext> </mtext><mn>000</mn><mi mathvariant=\"normal\">/</mi><mn>10</mn><mtext> </mtext><mn>000</mn><mo>=</mo><mn>180</mn><mtext> </mtext><mi mathvariant=\"normal\">$</mi><mi mathvariant=\"normal\">/</mi><msup><mtext>pi</mtext><mn>2</mn></msup></mrow><annotation encoding=\"application/x-tex\">1~800~000 / 10~000 = 180~\\$/\\text{pi}^2</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mord\">1</span><span class=\"mspace nobreak\"> </span><span class=\"mord\">800</span><span class=\"mspace nobreak\"> </span><span class=\"mord\">000/10</span><span class=\"mspace nobreak\"> </span><span class=\"mord\">000</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.1219em;vertical-align:-0.25em;\"></span><span class=\"mord\">180</span><span class=\"mspace nobreak\"> </span><span class=\"mord\">$/</span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">pi</span></span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8719em;\"><span style=\"top:-3.1208em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2</span></span></span></span></span></span></span></span></span></span></span>, dans la fourchette des guides pour un bureau de classe B à Gatineau (<span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>≈</mo></mrow><annotation encoding=\"application/x-tex\">\\approx</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.4831em;\"></span><span class=\"mrel\">≈</span></span></span></span> 160–200 $/pi<sup>2</sup>).</p>", "url": "/seance/14/#form-14-2"}, {"id": "form-form-14-3", "type": "form", "ch": "14", "num": "Formule 14.3", "front": "cohérence base de coût / dépréciation", "back": "<div class=\"eq\" id=\"eq-14-3\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"><semantics><mtable width=\"100%\"><mtr><mtd width=\"50%\"></mtd><mtd><mtable rowspacing=\"0.25em\" columnalign=\"right left\" columnspacing=\"0em\"><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mtext>Reproduction : </mtext><mi>V</mi></mrow></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mo>=</mo><msub><mi>V</mi><mi>T</mi></msub><mo>+</mo><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(</mo><msub><mi>C</mi><mtext>reprod</mtext></msub><mo>−</mo><msub><mi>D</mi><mtext>phys</mtext></msub><mo>−</mo><msub><mi>D</mi><mtext>fonc,cur</mtext></msub><mo>−</mo><msub><mi>D</mi><mtext>fonc,inc</mtext></msub><mo>−</mo><msub><mi>D</mi><mtext>ext</mtext></msub><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)</mo></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mtext>Remplacement : </mtext><mi>V</mi></mrow></mstyle></mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow></mrow><mo>=</mo><msub><mi>V</mi><mi>T</mi></msub><mo>+</mo><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(</mo><msub><mi>C</mi><mtext>rempl</mtext></msub><mo>−</mo><msub><mi>D</mi><mtext>phys</mtext></msub><mo>−</mo><msub><mi>D</mi><mtext>fonc,inc</mtext></msub><mo>−</mo><msub><mi>D</mi><mtext>ext</mtext></msub><mo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)</mo></mrow></mstyle></mtd></mtr></mtable></mtd><mtd width=\"50%\"></mtd><mtd><mtext>(14.3)</mtext></mtd></mtr></mtable><annotation encoding=\"application/x-tex\">\\begin{aligned}\\text{Reproduction : } V &amp;= V_T + \\bigl(C_{\\text{reprod}}\n  - D_{\\text{phys}} - D_{\\text{fonc,cur}} - D_{\\text{fonc,inc}}\n  - D_{\\text{ext}}\\bigr)\\\\\n\\text{Remplacement : } V &amp;= V_T + \\bigl(C_{\\text{rempl}}\n  - D_{\\text{phys}} - D_{\\text{fonc,inc}} - D_{\\text{ext}}\\bigr)\\end{aligned}\\tag{14.3}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.72em;vertical-align:-1.11em;\"></span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-r\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.61em;\"><span style=\"top:-3.76em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Reproduction : </span></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span></span></span><span style=\"top:-2.25em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Remplacement : </span></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.11em;\"><span></span></span></span></span></span><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.61em;\"><span style=\"top:-3.76em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mopen\"><span class=\"delimsizing size1\">(</span></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">reprod</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">phys</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fonc,cur</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fonc,inc</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">ext</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\"><span class=\"delimsizing size1\">)</span></span></span></span><span style=\"top:-2.25em;\"><span class=\"pstrut\" style=\"height:3em;\"></span><span class=\"mord\"><span class=\"mord\"></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mopen\"><span class=\"delimsizing size1\">(</span></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">rempl</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">phys</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fonc,inc</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">−</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">ext</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mclose\"><span class=\"delimsizing size1\">)</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.11em;\"><span></span></span></span></span></span></span></span></span><span class=\"katex-tag\"><span class=\"katex-strut\" style=\"height:2.72em;vertical-align:-1.11em;\"></span><span class=\"mord text\"><span class=\"mord\">(</span><span class=\"mord\"><span class=\"mord\">14.3</span></span><span class=\"mord\">)</span></span></span></span></span></span></div>\n<p id=\"p14-53\">Le coût de <strong>remplacement</strong> élimine d'emblée les déficiences fonctionnelles <strong>curables</strong> : les déduire de nouveau serait une double déduction. Avec le remplacement, on ne déduit que la fonctionnelle <strong>incurable</strong> (superadéquation, obsolescence de conception). Relation entre les deux bases : <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>C</mi><mtext>reprod</mtext></msub><mo>=</mo><msub><mi>C</mi><mtext>rempl</mtext></msub><mo>+</mo><mtext>obsolescence fonctionnelle curable</mtext></mrow><annotation encoding=\"application/x-tex\">C_{\\text{reprod}} = C_{\\text{rempl}} +\n\\text{obsolescence fonctionnelle curable}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">reprod</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">rempl</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"></span><span class=\"mord text\"><span class=\"mord\">obsolescence fonctionnelle curable</span></span></span></span></span>.</p>", "url": "/seance/14/#form-14-3"}, {"id": "g-affectation-methode-d", "type": "gloss", "ch": "G", "num": "", "front": "Affectation (méthode d')", "back": "<p>Méthode d'évaluation du terrain qui applique à la valeur totale d'une propriété un ratio terrain/valeur totale extrait de ventes comparables du secteur (<em>allocation method</em>). Méthode d'appoint, utile quand les ventes de terrains vacants sont rares.</p>", "url": "/glossaire/#g-affectation-methode-d"}, {"id": "g-age-chronologique", "type": "gloss", "ch": "G", "num": "", "front": "Âge chronologique", "back": "<p>Nombre d'années écoulées depuis la construction du bâtiment (<em>actual age</em>). Il ne mesure pas l'état : deux bâtiments du même âge chronologique peuvent avoir des âges effectifs très différents.</p>", "url": "/glossaire/#g-age-chronologique"}, {"id": "g-age-effectif", "type": "gloss", "ch": "G", "num": "", "front": "Âge effectif", "back": "<p>Âge que traduit l'état réel du bâtiment compte tenu de l'entretien et des rénovations (<em>effective age</em>). C'est lui — et non l'âge chronologique — qui entre au numérateur de la méthode âge/vie. Il doit être justifié par l'inspection.</p>", "url": "/glossaire/#g-age-effectif"}, {"id": "g-ameliorations", "type": "gloss", "ch": "G", "num": "", "front": "Améliorations", "back": "<p>Tout ce qui est construit sur le fonds de terre et qui s'y attache de façon permanente : bâtiment principal, dépendances, aménagements extérieurs (<em>improvements</em>). La méthode du coût évalue les améliorations, jamais le terrain, par le coût déprécié.</p>", "url": "/glossaire/#g-ameliorations"}, {"id": "g-ameliorations-locatives", "type": "gloss", "ch": "G", "num": "", "front": "Améliorations locatives", "back": "<p>Travaux réalisés par ou pour un locataire afin d'adapter un espace à ses besoins (<em>leasehold improvements</em>). Leur vie économique est limitée par la durée de bail restante (options probables incluses), presque toujours plus courte que leur vie physique.</p>", "url": "/glossaire/#g-ameliorations-locatives"}, {"id": "g-analyse-de-lotissement", "type": "gloss", "ch": "G", "num": "", "front": "Analyse de lotissement", "back": "<p>Méthode d'évaluation d'un terrain à développer : revenus de vente des lots moins coûts de développement, profit du promoteur et actualisation (<em>subdivision development analysis</em>).</p>", "url": "/glossaire/#g-analyse-de-lotissement"}, {"id": "g-assiette-fonciere", "type": "gloss", "ch": "G", "num": "", "front": "Assiette foncière", "back": "<p>Ensemble des biens immeubles portés au rôle d'évaluation d'une municipalité et sur lesquels sont prélevées les taxes foncières. La qualification meuble/immeuble (art. 900–907 C.c.Q.) en fixe le périmètre.</p>", "url": "/glossaire/#g-assiette-fonciere"}, {"id": "g-batiment-a-usage-special", "type": "gloss", "ch": "G", "num": "", "front": "Bâtiment à usage spécial", "back": "<p>Immeuble dont la conception limite l'utilisation à l'usage pour lequel il a été construit (<em>special-purpose property</em>) : église, école, hôpital, aréna. Marché de revente quasi inexistant : la méthode du coût y est souvent la seule applicable.</p>", "url": "/glossaire/#g-batiment-a-usage-special"}, {"id": "g-bordereau-de-couts", "type": "gloss", "ch": "G", "num": "", "front": "Bordereau de coûts", "back": "<p>Tableau structuré des coûts de construction d'un bâtiment, composante par composante (fondations, structure, enveloppe, mécanique, finitions), avec coûts unitaires, quantités et totaux. Livrable central du TP2.</p>", "url": "/glossaire/#g-bordereau-de-couts"}, {"id": "g-citation-patrimoine", "type": "gloss", "ch": "G", "num": "", "front": "Citation (patrimoine)", "back": "<p>Protection patrimoniale locale décidée par le conseil municipal en vertu de la Loi sur le patrimoine culturel. Moins contraignante que le classement ministériel, elle soumet néanmoins démolition et travaux à approbation.</p>", "url": "/glossaire/#g-citation-patrimoine"}, {"id": "g-classement-patrimoine", "type": "gloss", "ch": "G", "num": "", "front": "Classement (patrimoine)", "back": "<p>Protection patrimoniale maximale, décidée par le ministre de la Culture en vertu de la Loi sur le patrimoine culturel (RLRQ, c. P-9.002) : interdiction de démolir, obligation d'entretien, matériaux et techniques conformes.</p>", "url": "/glossaire/#g-classement-patrimoine"}, {"id": "g-classe-de-batiment", "type": "gloss", "ch": "G", "num": "", "front": "Classe de bâtiment", "back": "<p>Catégorie structurale utilisée par les guides de coûts (A : résistant au feu; B : semi-résistant; C : ossature ordinaire, etc.). Elle détermine le coût de base au pi<sup>2</sup> avant multiplicateurs.</p>", "url": "/glossaire/#g-classe-de-batiment"}, {"id": "g-cout", "type": "gloss", "ch": "G", "num": "", "front": "Coût", "back": "<p>Dépense nécessaire pour créer un bien (<em>cost</em>). À distinguer du <strong>prix</strong> (montant effectivement transigé) et de la <strong>valeur</strong> (utilité économique). Les trois ne coïncident qu'en marché parfait.</p>", "url": "/glossaire/#g-cout"}, {"id": "g-cout-de-base", "type": "gloss", "ch": "G", "num": "", "front": "Coût de base", "back": "<p>Coût unitaire tiré d'un guide pour une classe et une qualité données, avant multiplicateurs d'ajustement (hauteur, périmètre, région, temps) (<em>base cost</em>).</p>", "url": "/glossaire/#g-cout-de-base"}, {"id": "g-cout-de-projet", "type": "gloss", "ch": "G", "num": "", "front": "Coût de projet", "back": "<p>Enveloppe globale d'un projet : construction, équipements, financement, phases connexes. À ne pas confondre avec le coût de construction seul — l'écart peut atteindre 40–50 % (exemple du CHUM).</p>", "url": "/glossaire/#g-cout-de-projet"}, {"id": "g-cout-de-remplacement", "type": "gloss", "ch": "G", "num": "", "front": "Coût de remplacement", "back": "<p>Coût de construction, à la date d'évaluation, d'un bâtiment d'<strong>utilité équivalente</strong> avec les matériaux et standards actuels (<em>replacement cost</em>). Base privilégiée pour la valeur marchande; élimine d'emblée les déficiences fonctionnelles curables.</p>", "url": "/glossaire/#g-cout-de-remplacement"}, {"id": "g-cout-de-reproduction", "type": "gloss", "ch": "G", "num": "", "front": "Coût de reproduction", "back": "<p>Coût de construction d'une <strong>réplique exacte</strong> du bâtiment — mêmes matériaux, même conception, défauts inclus (<em>reproduction cost</em>). Base privilégiée pour l'assurance, le patrimoine et certains litiges.</p>", "url": "/glossaire/#g-cout-de-reproduction"}, {"id": "g-cout-indexe-methode-du", "type": "gloss", "ch": "G", "num": "", "front": "Coût indexé (méthode du)", "back": "<p>Estimation du coût actuel par indexation d'un coût historique connu : <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>C</mi><mtext>actuel</mtext></msub><mo>=</mo><msub><mi>C</mi><mtext>original</mtext></msub><mo>×</mo><msub><mi>I</mi><mtext>actuel</mtext></msub><mi mathvariant=\"normal\">/</mi><msub><mi>I</mi><mtext>original</mtext></msub></mrow><annotation encoding=\"application/x-tex\">C_{\\text{actuel}} = C_{\\text{original}} \\times I_{\\text{actuel}} /\nI_{\\text{original}}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">actuel</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">original</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">×</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0785em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">actuel</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span><span class=\"mord\">/</span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0785em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">original</span></span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span></span></span></span> (<em>trended cost method</em>). Fiabilité décroissante au-delà d'une dizaine d'années.</p>", "url": "/glossaire/#g-cout-indexe-methode-du"}, {"id": "g-couts-directs", "type": "gloss", "ch": "G", "num": "", "front": "Coûts directs", "back": "<p>Coûts « briques et mortier » : matériaux, main-d'œuvre, équipements de chantier, sous-traitants (<em>hard costs</em>). Ils forment la base sur laquelle se calculent indirects et profit.</p>", "url": "/glossaire/#g-couts-directs"}, {"id": "g-couts-indirects", "type": "gloss", "ch": "G", "num": "", "front": "Coûts indirects", "back": "<p>Coûts nécessaires au projet mais extérieurs au chantier : honoraires professionnels, financement intérimaire, taxes non récupérables, permis, assurances, frais légaux et administratifs (<em>soft costs</em>). Fourchette usuelle : 15–25 % des directs.</p>", "url": "/glossaire/#g-couts-indirects"}, {"id": "g-curable", "type": "gloss", "ch": "G", "num": "", "front": "Curable", "back": "<p>Se dit d'une dépréciation dont la correction est économiquement justifiée : coût de correction <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>≤</mo></mrow><annotation encoding=\"application/x-tex\">\\le</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7719em;vertical-align:-0.136em;\"></span><span class=\"mrel\">≤</span></span></span></span> valeur ajoutée (<em>curable</em>). Le test est économique, pas technique.</p>", "url": "/glossaire/#g-curable"}, {"id": "g-cuspap-nuppec", "type": "gloss", "ch": "G", "num": "", "front": "CUSPAP / NUPPEC", "back": "<p><em>Canadian Uniform Standards of Professional Appraisal Practice</em> — Normes uniformes de pratique professionnelle en matière d'évaluation au Canada (Institut canadien des évaluateurs). Édition en vigueur : 2026.</p>", "url": "/glossaire/#g-cuspap-nuppec"}, {"id": "g-deficience", "type": "gloss", "ch": "G", "num": "", "front": "Déficience", "back": "<p>Élément manquant ou inadéquat par rapport aux standards du marché (<em>deficiency</em>). Source de dépréciation fonctionnelle, curable (par ajout ou substitution) ou incurable selon le test économique.</p>", "url": "/glossaire/#g-deficience"}, {"id": "g-depreciation", "type": "gloss", "ch": "G", "num": "", "front": "Dépréciation", "back": "<p>Perte de valeur des améliorations, toutes causes confondues, mesurée par rapport au coût neuf (<em>depreciation</em>). Trois formes : physique, fonctionnelle, externe. À ne pas confondre avec l'amortissement comptable ou fiscal.</p>", "url": "/glossaire/#g-depreciation"}, {"id": "g-depreciation-externe-economique", "type": "gloss", "ch": "G", "num": "", "front": "Dépréciation externe (économique)", "back": "<p>Perte de valeur causée par des facteurs <em>extérieurs</em> à la propriété : inoccupation du secteur, déclin économique, nuisances, réglementation (<em>external/economic obsolescence</em>). Par nature incurable; ne s'applique jamais au terrain évalué avec des comparables du même secteur.</p>", "url": "/glossaire/#g-depreciation-externe-economique"}, {"id": "g-depreciation-fonctionnelle", "type": "gloss", "ch": "G", "num": "", "front": "Dépréciation fonctionnelle", "back": "<p>Perte de valeur causée par l'inadéquation de la conception ou des composantes aux standards actuels : déficiences et superadéquations (<em>functional obsolescence</em>).</p>", "url": "/glossaire/#g-depreciation-fonctionnelle"}, {"id": "g-depreciation-physique", "type": "gloss", "ch": "G", "num": "", "front": "Dépréciation physique", "back": "<p>Perte de valeur causée par l'usure et la détérioration matérielles (<em>physical deterioration</em>). Se ventile en curable (entretien différé), incurable court terme (par composante) et incurable long terme (structure).</p>", "url": "/glossaire/#g-depreciation-physique"}, {"id": "g-droits-de-mutation", "type": "gloss", "ch": "G", "num": "", "front": "Droits de mutation", "back": "<p>Taxe municipale exigible lors du transfert d'un immeuble (« taxe de bienvenue »). Barème 2026 : 0,5 % jusqu'à 62 900 $, 1 % jusqu'à 315 000 $, 1,5 % au-delà (Montréal : paliers jusqu'à 4 %).</p>", "url": "/glossaire/#g-droits-de-mutation"}, {"id": "g-duree-de-vie-economique", "type": "gloss", "ch": "G", "num": "", "front": "Durée de vie économique", "back": "<p>Période pendant laquelle les améliorations contribuent à la valeur de la propriété (<em>economic life</em>). Plus courte que la vie physique; c'est elle qui sert de dénominateur à la méthode âge/vie.</p>", "url": "/glossaire/#g-duree-de-vie-economique"}, {"id": "g-duree-de-vie-physique", "type": "gloss", "ch": "G", "num": "", "front": "Durée de vie physique", "back": "<p>Période pendant laquelle un bâtiment ou une composante peut matériellement fonctionner (<em>physical life</em>).</p>", "url": "/glossaire/#g-duree-de-vie-physique"}, {"id": "g-entretien-differe", "type": "gloss", "ch": "G", "num": "", "front": "Entretien différé", "back": "<p>Réparations dues mais non réalisées (<em>deferred maintenance</em>). Mesure usuelle de la dépréciation physique curable : la somme des coûts de remise en état rentables.</p>", "url": "/glossaire/#g-entretien-differe"}, {"id": "g-evaluateur-agree-e-a", "type": "gloss", "ch": "G", "num": "", "front": "Évaluateur agréé (É.A.)", "back": "<p>Professionnel membre de l'Ordre des évaluateurs agréés du Québec, seul habilité à porter ce titre (Code des professions). Encadré par le code de déontologie et les normes de pratique de l'OEAQ.</p>", "url": "/glossaire/#g-evaluateur-agree-e-a"}, {"id": "g-extraction-methode-d", "type": "gloss", "ch": "G", "num": "", "front": "Extraction (méthode d')", "back": "<p>Méthode d'évaluation du terrain : valeur totale d'une vente bâtie moins la valeur dépréciée des améliorations (<em>extraction method</em>).</p>", "url": "/glossaire/#g-extraction-methode-d"}, {"id": "g-flex-industriel", "type": "gloss", "ch": "G", "num": "", "front": "Flex industriel", "back": "<p>Bâtiment hybride bureau/entrepôt, typiquement 6–8 m de hauteur libre, coût de 1 800–2 800 $/m<sup>2</sup>.</p>", "url": "/glossaire/#g-flex-industriel"}, {"id": "g-fonds-de-terre", "type": "gloss", "ch": "G", "num": "", "front": "Fonds de terre", "back": "<p>Le sol lui-même, immeuble par nature au sens de l'article 900 C.c.Q. Le terrain ne se déprécie pas dans la méthode du coût : il s'évalue séparément, comme vacant, à son utilisation optimale.</p>", "url": "/glossaire/#g-fonds-de-terre"}, {"id": "g-grille-d-ajustement", "type": "gloss", "ch": "G", "num": "", "front": "Grille d'ajustement", "back": "<p>Tableau normalisé des ajustements appliqués aux comparables (temps d'abord, puis localisation, superficie, zonage, topographie, services) menant aux prix ajustés puis à la valeur pondérée (<em>adjustment grid</em>).</p>", "url": "/glossaire/#g-grille-d-ajustement"}, {"id": "g-guides-de-couts", "type": "gloss", "ch": "G", "num": "", "front": "Guides de coûts", "back": "<p>Répertoires de coûts unitaires de construction : Altus (<em>Canadian Cost Guide</em>), Marshall &amp; Swift (<em>Marshall Valuation Service</em>), RSMeans. Toujours citer le guide, l'édition et les multiplicateurs utilisés.</p>", "url": "/glossaire/#g-guides-de-couts"}, {"id": "g-hauteur-libre", "type": "gloss", "ch": "G", "num": "", "front": "Hauteur libre", "back": "<p>Distance entre le plancher et le premier obstacle sous la structure (<em>clear height</em>). Variable stratégique de l'industriel : moins de 6 m est désuet, 12 m et plus vise la grande distribution. Une hauteur insuffisante est une déficience fonctionnelle typiquement incurable.</p>", "url": "/glossaire/#g-hauteur-libre"}, {"id": "g-hbu-utilisation-optimale", "type": "gloss", "ch": "G", "num": "", "front": "HBU — Utilisation optimale", "back": "<p><em>Highest and Best Use</em> : l'usage légalement permis, physiquement possible, financièrement faisable et de productivité maximale. S'analyse pour le terrain vacant puis pour la propriété améliorée; conditionne toute la méthode du coût.</p>", "url": "/glossaire/#g-hbu-utilisation-optimale"}, {"id": "g-immeuble-par-nature-attache-a-demeure", "type": "gloss", "ch": "G", "num": "", "front": "Immeuble par nature / attaché à demeure", "back": "<p>Fonds de terre et constructions permanentes (art. 900 C.c.Q.); meuble incorporé qui perd son individualité (art. 901); meuble attaché à demeure sans perdre son individualité (art. 903). Ces biens entrent dans l'évaluation immobilière et l'assiette foncière.</p>", "url": "/glossaire/#g-immeuble-par-nature-attache-a-demeure"}, {"id": "g-incurable", "type": "gloss", "ch": "G", "num": "", "front": "Incurable", "back": "<p>Se dit d'une dépréciation dont la correction coûterait plus cher que la valeur qu'elle ajouterait (<em>incurable</em>). Se mesure par âge/vie (physique) ou par capitalisation de la perte (fonctionnelle, externe).</p>", "url": "/glossaire/#g-incurable"}, {"id": "g-inspection", "type": "gloss", "ch": "G", "num": "", "front": "Inspection", "back": "<p>Examen méthodique du bâtiment (structure, enveloppe, systèmes, finitions) documenté par photos et fiches. Fondement de l'âge effectif et de la ventilation de la dépréciation; exigence des normes OEAQ.</p>", "url": "/glossaire/#g-inspection"}, {"id": "g-ipcb", "type": "gloss", "ch": "G", "num": "", "front": "IPCB", "back": "<p>Indice des prix de la construction de bâtiments de Statistique Canada (tableau 18-10-0289-01, base 2023 <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>=</mo></mrow><annotation encoding=\"application/x-tex\">=</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.3669em;\"></span><span class=\"mrel\">=</span></span></span></span> 100). Référence canadienne pour la méthode du coût indexé.</p>", "url": "/glossaire/#g-ipcb"}, {"id": "g-lotissement", "type": "gloss", "ch": "G", "num": "", "front": "Lotissement", "back": "<p>Division d'un terrain en lots à bâtir. Voir <em>analyse de lotissement</em>.</p>", "url": "/glossaire/#g-lotissement"}, {"id": "g-mamh", "type": "gloss", "ch": "G", "num": "", "front": "MAMH", "back": "<p>Ministère des Affaires municipales et de l'Habitation, responsable du <em>Manuel d'évaluation foncière du Québec</em>, qui prescrit la méthode du coût pour l'évaluation municipale de nombreux immeubles.</p>", "url": "/glossaire/#g-mamh"}, {"id": "g-manuel-d-evaluation-fonciere-du-quebec-mefq", "type": "gloss", "ch": "G", "num": "", "front": "Manuel d'évaluation foncière du Québec (MEFQ)", "back": "<p>Cadre normatif de la confection des rôles d'évaluation municipale au Québec : classification des bâtiments, barèmes de coûts, tables de dépréciation.</p>", "url": "/glossaire/#g-manuel-d-evaluation-fonciere-du-quebec-mefq"}, {"id": "g-methode-age-vie", "type": "gloss", "ch": "G", "num": "", "front": "Méthode âge/vie", "back": "<p>Mesure de la dépréciation incurable : ratio âge effectif / durée de vie, appliqué à la base appropriée (<em>age-life method</em>). Simple, mais sensible à l'estimation de l'âge effectif.</p>", "url": "/glossaire/#g-methode-age-vie"}, {"id": "g-methode-comparative-couts", "type": "gloss", "ch": "G", "num": "", "front": "Méthode comparative (coûts)", "back": "<p>Estimation du coût neuf au $/pi<sup>2</sup> à partir d'un coût de base de guide, corrigé par multiplicateurs (<em>comparative unit method</em>). La plus rapide; précision moyenne.</p>", "url": "/glossaire/#g-methode-comparative-couts"}, {"id": "g-methode-des-composantes", "type": "gloss", "ch": "G", "num": "", "front": "Méthode des composantes", "back": "<p>Estimation du coût par grandes composantes en place — fondations, structure, enveloppe, mécanique, finitions (<em>unit-in-place method</em>). Bon compromis précision/effort; base du bordereau de coûts.</p>", "url": "/glossaire/#g-methode-des-composantes"}, {"id": "g-methode-des-quantites", "type": "gloss", "ch": "G", "num": "", "front": "Méthode des quantités", "back": "<p>Relevé exhaustif des quantités et prix unitaires de tous les matériaux et travaux (<em>quantity survey method</em>). La plus précise et la plus coûteuse; usage surtout par les estimateurs professionnels.</p>", "url": "/glossaire/#g-methode-des-quantites"}, {"id": "g-meuble", "type": "gloss", "ch": "G", "num": "", "front": "Meuble", "back": "<p>Bien qui peut se transporter et qui n'est pas autrement qualifié (art. 905 et 907 C.c.Q.) : chariot élévateur, mobilier, outillage, équipement médical. Exclu de l'évaluation immobilière.</p>", "url": "/glossaire/#g-meuble"}, {"id": "g-oeaq", "type": "gloss", "ch": "G", "num": "", "front": "OEAQ", "back": "<p>Ordre des évaluateurs agréés du Québec : encadre la profession (titre réservé, déontologie, inspection professionnelle, normes de pratique).</p>", "url": "/glossaire/#g-oeaq"}, {"id": "g-pont-roulant", "type": "gloss", "ch": "G", "num": "", "front": "Pont roulant", "back": "<p>Appareil de levage (5 à 100 tonnes et plus) circulant sur des poutres de roulement au-dessus de la dalle. Attaché à demeure, il est immeuble (art. 903 C.c.Q.) et s'évalue au coût installé déprécié.</p>", "url": "/glossaire/#g-pont-roulant"}, {"id": "g-prix", "type": "gloss", "ch": "G", "num": "", "front": "Prix", "back": "<p>Montant effectivement payé lors d'une transaction (<em>price</em>). Peut s'écarter de la valeur (vente forcée, lien entre les parties, conditions particulières).</p>", "url": "/glossaire/#g-prix"}, {"id": "g-profit-entrepreneurial", "type": "gloss", "ch": "G", "num": "", "front": "Profit entrepreneurial", "back": "<p>Rémunération du risque et de la coordination du promoteur, incluse dans le coût neuf : (directs <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>+</mo></mrow><annotation encoding=\"application/x-tex\">+</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6667em;vertical-align:-0.0833em;\"></span><span class=\"mord\">+</span></span></span></span> indirects) <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mo>×</mo></mrow><annotation encoding=\"application/x-tex\">\\times</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6667em;vertical-align:-0.0833em;\"></span><span class=\"mord\">×</span></span></span></span> 8–15 % (<em>entrepreneurial profit</em>). Son oubli est le piège n<sup>o</sup> 3.</p>", "url": "/glossaire/#g-profit-entrepreneurial"}, {"id": "g-reconciliation", "type": "gloss", "ch": "G", "num": "", "front": "Réconciliation", "back": "<p>Étape finale : pondération justifiée des indications des trois méthodes (comparaison, revenu, coût) pour conclure une valeur unique. Jamais une moyenne mécanique.</p>", "url": "/glossaire/#g-reconciliation"}, {"id": "g-residu-foncier-methode-du", "type": "gloss", "ch": "G", "num": "", "front": "Résidu foncier (méthode du)", "back": "<p>Méthode d'évaluation du terrain par capitalisation du revenu résiduel attribuable au terrain, après rémunération du bâtiment (<em>land residual technique</em>).</p>", "url": "/glossaire/#g-residu-foncier-methode-du"}, {"id": "g-role-d-evaluation", "type": "gloss", "ch": "G", "num": "", "front": "Rôle d'évaluation", "back": "<p>Inventaire triennal des immeubles d'une municipalité et de leurs valeurs aux fins de taxation. Date de référence : 18 mois avant l'entrée en vigueur du rôle.</p>", "url": "/glossaire/#g-role-d-evaluation"}, {"id": "g-superadequation", "type": "gloss", "ch": "G", "num": "", "front": "Superadéquation", "back": "<p>Élément dont le coût excède sa contribution à la valeur (<em>superadequacy, overimprovement</em>) : hall en marbre surdimensionné, systèmes surdimensionnés d'un hôpital, architecture de prestige. Dépréciation fonctionnelle incurable : excès de coût, net de la physique déjà comptée, plus surcoûts d'exploitation capitalisés.</p>", "url": "/glossaire/#g-superadequation"}, {"id": "g-substitution-principe-de", "type": "gloss", "ch": "G", "num": "", "front": "Substitution (principe de)", "back": "<p>Fondement économique de la méthode du coût : un acheteur averti ne paiera pas plus que le coût d'obtention d'un substitut d'utilité équivalente.</p>", "url": "/glossaire/#g-substitution-principe-de"}, {"id": "g-taux-global-d-actualisation-tga", "type": "gloss", "ch": "G", "num": "", "front": "Taux global d'actualisation (TGA)", "back": "<p>Taux de capitalisation global utilisé pour convertir une perte (ou un revenu) annuel en valeur : <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mi>V</mi><mo>=</mo><mtext>revenu</mtext><mi mathvariant=\"normal\">/</mi><mtext>TGA</mtext></mrow><annotation encoding=\"application/x-tex\">V = \\text{revenu}/\\text{TGA}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"></span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span><span class=\"mrel\">=</span><span class=\"mspace\" style=\"margin-right:0.2778em;\"></span></span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"></span><span class=\"mord text\"><span class=\"mord\">revenu</span></span><span class=\"mord\">/</span><span class=\"mord text\"><span class=\"mord\">TGA</span></span></span></span></span> (<em>overall capitalization rate</em>). Sert à mesurer les dépréciations fonctionnelle et externe incurables.</p>", "url": "/glossaire/#g-taux-global-d-actualisation-tga"}, {"id": "g-terrain-vacant-principe-du", "type": "gloss", "ch": "G", "num": "", "front": "Terrain vacant (principe du)", "back": "<p>Convention centrale : le terrain s'évalue toujours comme s'il était vacant et disponible pour son utilisation optimale, même s'il est bâti.</p>", "url": "/glossaire/#g-terrain-vacant-principe-du"}, {"id": "g-valeur", "type": "gloss", "ch": "G", "num": "", "front": "Valeur", "back": "<p>Utilité économique d'un bien; en évaluation, le plus souvent la <strong>valeur marchande</strong> : le prix le plus probable dans un marché libre et ouvert, entre parties informées et sans lien de dépendance (<em>market value</em>).</p>", "url": "/glossaire/#g-valeur"}, {"id": "g-ventes-jumelees", "type": "gloss", "ch": "G", "num": "", "front": "Ventes jumelées", "back": "<p>Comparaison de deux ventes semblables en tout sauf le facteur étudié (<em>paired sales</em>) : mesure directe privilégiée de la dépréciation externe et de certains ajustements.</p>", "url": "/glossaire/#g-ventes-jumelees"}, {"id": "g-ventilation-de-la-depreciation", "type": "gloss", "ch": "G", "num": "", "front": "Ventilation de la dépréciation", "back": "<p>Décomposition ordonnée de la dépréciation totale : physique curable, incurable court terme, incurable long terme, fonctionnelle curable et incurable, externe (<em>breakdown method</em>). Objet du TP3.</p>", "url": "/glossaire/#g-ventilation-de-la-depreciation"}, {"id": "g-vie-restante", "type": "gloss", "ch": "G", "num": "", "front": "Vie restante", "back": "<p>Vie économique moins âge effectif (<em>remaining economic life</em>) : l'horizon pendant lequel les améliorations continueront de contribuer à la valeur.</p>", "url": "/glossaire/#g-vie-restante"}, {"id": "g-zonage", "type": "gloss", "ch": "G", "num": "", "front": "Zonage", "back": "<p>Réglementation municipale des usages permis (Loi sur l'aménagement et l'urbanisme). Premier critère de l'analyse HBU et facteur d'ajustement des comparables fonciers; un changement de zonage peut créer une dépréciation externe — ou une plus-value.</p>", "url": "/glossaire/#g-zonage"}]