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shown equivalent to a dual optimal contract, complemented by numerical calibration",29   "key_assumptions": [30    "entrepreneur cannot irrevocably commit human capital and can leave to recontract elsewhere",31    "otherwise frictionless, competitive and complete financial markets",32    "risk-averse entrepreneur and risk-averse diversified investors",33    "q-theory adjustment costs on investment",34    "observable, verifiable output and no private saving"35   ],36   "threats_addressed": [],37   "causal_language_strength": 1,38   "uses_causal_claim": false39  },40  "abstract_moves": {41   "question": {42    "present": true,43    "sentence_index": 044   },45   "gap": {46    "present": false,47    "sentence_index": -148   },49   "method": {50    "present": false,51    "sentence_index": -152   },53   "results": {54    "present": true,55    "sentence_index": 456   },57   "magnitude": {58    "present": false,59    "sentence_index": -160   },61   "contribution": {62    "present": true,63    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"introduction"156   },157   {158    "idx": 1,159    "role": "theory"160   },161   {162    "idx": 2,163    "role": "theory"164   },165   {166    "idx": 3,167    "role": "theory"168   },169   {170    "idx": 4,171    "role": "theory"172   },173   {174    "idx": 5,175    "role": "results"176   },177   {178    "idx": 6,179    "role": "theory"180   },181   {182    "idx": 7,183    "role": "theory"184   },185   {186    "idx": 8,187    "role": "theory"188   },189   {190    "idx": 9,191    "role": "conclusion"192   },193   {194    "idx": 10,195    "role": "appendix"196   },197   {198    "idx": 11,199    "role": "appendix"200   },201   {202    "idx": 12,203    "role": "appendix"204   },205   {206    "idx": 13,207    "role": "appendix"208   }209  ],210  "results_presentation": {211   "economic_significance_discussed": true,212   "statistical_significance_language": "unclear",213   "magnitude_statements_in_intro": false214  },215  "robustness": {216   "location": "main_text_section",217   "types": [218    "sensitivity_to_parameters",219    "other"220   ]221  },222  "tables": {223   "convention_notes": "Few tables. Two tables contrast the primal (liquidity-based) problem with the dual (contracting) problem side by side; one lists annualized baseline parameter values with symbols. There are no regression tables.",224   "units_stated_in_notes": true,225   "standard_errors_description": "none"226  },227  "figures": {228   "uncertainty_shown": "no"229  },230  "conclusion": {231   "bounded_claims": true,232   "policy_implications": false,233   "open_questions": true,234   "restates_contribution": true235  },236  "hedging": {237   "level": "low",238   "typical_devices": [239    "'in general' qualifiers on theoretical results",240    "consistent-with references to prior empirical findings",241    "acknowledging strong assumptions in the conclusion"242   ]243  },244  "claim_evidence": [245   {246    "claim": "Inalienable human capital creates an endogenous debt capacity and makes liquidity and risk management valuable even with frictionless markets",247    "evidence_type": "equation_or_proof",248    "evidence_ref": "Sections III-IV, Appendix A-B"249   },250   {251    "claim": "Entrepreneur's net worth is overexposed to idiosyncratic risk and underexposed to systematic risk relative to first-best",252    "evidence_type": "figure",253    "evidence_ref": "Figures 2 and 4"254   },255   {256    "claim": "The firm underinvests and undercompensates the entrepreneur, more so near the debt limit",257    "evidence_type": "figure",258    "evidence_ref": "Figures 5 and 6"259   },260   {261    "claim": "The liquidity-based optimization problem is equivalent to a dual optimal long-term contract",262    "evidence_type": "table",263    "evidence_ref": "Tables I-II, Section IV.F"264   },265   {266    "claim": "Less constrained firms investing more in the market portfolio is consistent with observed corporate holdings of risky assets",267    "evidence_type": "prior_literature",268    "evidence_ref": "Duchin et al. (2017)"269   },270   {271    "claim": "Debt optimality in Hart and Moore is not robust once the model is generalized",272    "evidence_type": "figure",273    "evidence_ref": "Section VII, Figure 11"274   }275  ],276  "structural_summary": "Theoretical corporate finance paper. The introduction motivates the problem with key-man risk, states the new theory of liquidity and risk management, and previews the policy distortions. It then gives extended positioning against Hart-Moore, Ai-Li, Rampini-Viswanathan and the limited-commitment and compensation literatures, and ends with a roadmap. The body sets up the model, derives the first-best and the constrained solution, and shows equivalence to a dual contracting problem. A calibrated quantitative section then presents policy functions in figures. Extensions cover persistent shocks, the deterministic Hart-Moore case and two-sided commitment. The conclusion restates the mechanism and suggests future work. Proofs are in appendices.",277  "writing_profile_keywords": [278   "continuous-time dynamic contracting",279   "limited commitment",280   "primal-dual equivalence",281   "calibrated numerical illustration",282   "extensive literature positioning",283   "extensions sections",284   "policy function figures"285  ],286  "confidence": 0.85,287  "notes": "The quantitative section is a calibration-based illustration of the model rather than an empirical analysis. Empirical links appear only through consistency with prior literature."288 },289 "deterministic_checks": {290  "roadmap_regex": true,291  "contribution_regex_in_intro": true,292  "magnitude_in_abstract": false,293  "abstract_n_sentences": 7,294  "intro_n_paragraphs": 14,295  "intro_n_words": 1815,296  "causal_words_in_abstract": 0,297  "hedge_words_in_abstract": 0,298  "stars_mentioned": false,299  "clustered_se_mentioned": false,300  "internet_appendix_mentioned": false,301  "section_roles_rule": {302   "0": "introduction",303   "1": "theory",304   "2": "other",305   "3": "other",306   "4": "other",307   "5": "other",308   "6": "other",309   "7": "other",310   "8": "other",311   "9": "conclusion",312   "10": "appendix",313   "11": "appendix",314   "12": "appendix",315   "13": "appendix"316  }317 },318 "schema_valid": true,319 "code_version": "87c73cd-dirty"320}
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