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Extract latent state variables from index option implied volatilities. Compare predicted tranche spreads with data and run comparative statics.",28 "key_assumptions": [29 "Representative agent with complete markets in an endowment economy",30 "Time-varying disaster probability governed by square-root processes",31 "Firm cash flows load on aggregate disasters, sector shocks and idiosyncratic shocks",32 "Preference and consumption parameters taken from prior studies without reference to CDX data"33 ],34 "threats_addressed": [35 "Model is not fit directly to CDX data",36 "Disaster risk is linked tightly to the equity premium, so a low-equity-premium recalibration fails",37 "Removing idiosyncratic risk or sector shocks changes the fit",38 "Physical default probabilities are matched to Moody's data"39 ],40 "causal_language_strength": 2,41 "uses_causal_claim": false42 },43 "abstract_moves": {44 "question": {45 "present": true,46 "sentence_index": 047 },48 "gap": {49 "present": false,50 "sentence_index": -151 },52 "method": {53 "present": true,54 "sentence_index": 355 },56 "results": {57 "present": true,58 "sentence_index": 359 },60 "magnitude": {61 "present": false,62 "sentence_index": -163 },64 "contribution": {65 "present": false,66 "sentence_index": -167 }68 },69 "introduction": {70 "moves": [71 {72 "paragraph_index": 0,73 "move": "motivation"74 },75 {76 "paragraph_index": 1,77 "move": "motivation"78 },79 {80 "paragraph_index": 1,81 "move": "literature_gap"82 },83 {84 "paragraph_index": 1,85 "move": "preview_of_approach"86 },87 {88 "paragraph_index": 2,89 "move": "related_literature_positioning"90 },91 {92 "paragraph_index": 2,93 "move": "tension_or_puzzle"94 },95 {96 "paragraph_index": 3,97 "move": "mechanism_or_theory_sketch"98 },99 {100 "paragraph_index": 3,101 "move": "preview_of_results"102 },103 {104 "paragraph_index": 4,105 "move": "preview_of_results"106 },107 {108 "paragraph_index": 4,109 "move": "contribution_statement"110 },111 {112 "paragraph_index": 4,113 "move": "policy_or_broader_implication"114 }115 ],116 "contribution_paragraph_index": 4,117 "contribution_types": [118 "new_theory_or_model",119 "new_evidence",120 "resolution_of_puzzle"121 ],122 "roadmap_present": false,123 "literature_positioning_location": "inside_introduction"124 },125 "section_roles": [126 {127 "idx": 0,128 "role": "introduction"129 },130 {131 "idx": 1,132 "role": "theory"133 },134 {135 "idx": 2,136 "role": "data"137 },138 {139 "idx": 3,140 "role": "empirical_design"141 },142 {143 "idx": 4,144 "role": "results"145 },146 {147 "idx": 5,148 "role": "results"149 },150 {151 "idx": 6,152 "role": "conclusion"153 }154 ],155 "results_presentation": {156 "economic_significance_discussed": true,157 "statistical_significance_language": "unclear",158 "magnitude_statements_in_intro": true159 },160 "robustness": {161 "location": "within_results",162 "types": [163 "sensitivity_to_parameters",164 "alternative_specification"165 ]166 },167 "tables": {168 "convention_notes": "Tables report calibrated parameters and data-versus-model moments. Simulated small-sample percentiles (5th, 50th, 95th) are shown alongside population moments. Tranche spreads are given in basis points per year, with the equity tranche reported as an upfront payment. Pre-crisis and crisis subsamples are reported separately.",169 "units_stated_in_notes": true,170 "standard_errors_description": "none"171 },172 "figures": {173 "uncertainty_shown": "unclear"174 },175 "conclusion": {176 "bounded_claims": true,177 "policy_implications": false,178 "open_questions": true,179 "restates_contribution": true180 },181 "hedging": {182 "level": "moderate",183 "typical_devices": [184 "framing as 'can explain' or 'is possible to account for'",185 "'at least some of the pricing behavior'",186 "explicit acknowledgment of model failures as challenges for future work"187 ]188 },189 "claim_evidence": [190 {191 "claim": "Calibrated disaster model matches average five- and three-year CDX tranche spreads before and during the crisis",192 "evidence_type": "table",193 "evidence_ref": "Tables V, VI, VII"194 },195 {196 "claim": "Model reproduces the time series of tranche spreads using option-implied state variables",197 "evidence_type": "figure",198 "evidence_ref": "Figures 5, 6"199 },200 {201 "claim": "Lower equity premium calibration produces senior tranche spreads far below the data",202 "evidence_type": "figure",203 "evidence_ref": "Figure 9"204 },205 {206 "claim": "Model matches physical default probabilities across horizons",207 "evidence_type": "figure",208 "evidence_ref": "Figure 1"209 },210 {211 "claim": "Model cannot reconcile low implied-volatility autocorrelation with a persistent price-dividend ratio",212 "evidence_type": "figure",213 "evidence_ref": "Figure 10, Table IV"214 },215 {216 "claim": "Model predicts counterfactually low long-term real bond yields",217 "evidence_type": "figure",218 "evidence_ref": "Figure 11"219 },220 {221 "claim": "Model matches equity premium and bill rate moments",222 "evidence_type": "table",223 "evidence_ref": "Table II"224 }225 ],226 "structural_summary": "The paper motivates the question with dramatic crisis-era senior tranche pricing and a gap: few quantitative models link structured products to fundamentals. It then positions itself against no-arbitrage models, whose limitation is incomplete markets, and turns to an equilibrium model. Next it sketches the mechanism tying the equity premium to tranche prices. A theory section presents a continuous-time disaster model, followed by data, calibration (including option-based extraction of state variables), and an evaluation of averages, time series and comparative statics. It then examines implications for options, the price-dividend ratio and bonds, honestly reporting where the model fails. The conclusion restates the fit and lists remaining puzzles.",227 "writing_profile_keywords": [228 "rare disasters",229 "equilibrium calibration",230 "model-versus-data comparison",231 "credit derivatives",232 "comparative statics",233 "acknowledged model limitations",234 "2008 crisis"235 ],236 "confidence": 0.82,237 "notes": "Calibration and evaluation sections are labeled 'other' in the source and were mapped here to empirical_design and results. 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