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Large risks, limited liability, and dynamic moral hazard

Author

Listed:
  • Bruno Biais

    () (CRM - Centre de Recherche en Management - UT1 - Université Toulouse 1 Capitole - IAE - Institut d'Administration des Entreprises - Toulouse - CNRS - Centre National de la Recherche Scientifique)

  • Thomas Mariotti

    (GREMAQ - Groupe de recherche en économie mathématique et quantitative - UT1 - Université Toulouse 1 Capitole - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique)

  • Jean-Charles Rochet
  • Stéphane Villeneuve

    () (CRM - Centre de Recherche en Management - UT1 - Université Toulouse 1 Capitole - IAE - Institut d'Administration des Entreprises - Toulouse - CNRS - Centre National de la Recherche Scientifique)

Abstract

We study a continuous-time principal-agent model in which a risk-neutral agent with limited liability must exert unobservable effort to reduce the likelihood of large but relatively infrequent losses. Firm size can be decreased at no cost or increased subject to adjustment costs. In the optimal contract, investment takes place only if a long enough period of time elapses with no losses occurring. Then, if good performance continues, the agent is paid. As soon as a loss occurs, payments to the agent are suspended, and so is investment if further losses occur. Accumulated bad performance leads to downsizing. We derive explicit formulae for the dynamics of firm size and its asymptotic growth rate, and we provide conditions under which firm size eventually goes to zero or grows without bounds.

Suggested Citation

  • Bruno Biais & Thomas Mariotti & Jean-Charles Rochet & Stéphane Villeneuve, 2010. "Large risks, limited liability, and dynamic moral hazard," Post-Print halshs-00491470, HAL.
  • Handle: RePEc:hal:journl:halshs-00491470
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00491470
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    Keywords

    Econometrics; Statistical method; Growth rate; Continuous time; Finance Risk model; Econométrie; Méthode statistique; Taux croissance; Temps continu; Finance Modèle risque; Sciences actuarielles; 62P05;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing

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