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Borrowing Constraint as an Optimal Contract

Author

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  • Grochulski, Borys
  • Zhang, Yuzhe

Abstract

We study a continuous-time version of the optimal risk-sharing problem with one-sided commitment. In the optimal contract, the agent's consumption is non-decreasing and depends only on the maximal level of the agent's income realized to date. In the complete-markets implementation of the optimal contract, the Alvarez-Jermann solvency constraints take the form of a simple borrowing constraint familiar from the Bewley-Aiyagari incomplete-markets models. Unlike in the incomplete-markets models, however, the asset buffer stock held by the agent is negatively correlated with income.

Suggested Citation

  • Grochulski, Borys & Zhang, Yuzhe, 2009. "Borrowing Constraint as an Optimal Contract," MPRA Paper 23216, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:23216
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    References listed on IDEAS

    as
    1. Rui Albuquerque & Hugo A. Hopenhayn, 2004. "Optimal Lending Contracts and Firm Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(2), pages 285-315.
    2. Zhang, Yuzhe, 2009. "Dynamic contracting with persistent shocks," Journal of Economic Theory, Elsevier, vol. 144(2), pages 635-675, March.
    3. Krueger, Dirk & Uhlig, Harald, 2006. "Competitive risk sharing contracts with one-sided commitment," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1661-1691, October.
    4. Bruno Biais & Thomas Mariotti & Guillaume Plantin & Jean-Charles Rochet, 2007. "Dynamic Security Design: Convergence to Continuous Time and Asset Pricing Implications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 345-390.
    5. Stefania Albanesi & Christopher Sleet, 2006. "Dynamic Optimal Taxation with Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 1-30.
    6. Timothy J. Kehoe & David K. Levine, 1993. "Debt-Constrained Asset Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 865-888.
    7. Jonathan Eaton & Mark Gersovitz, 1981. "Debt with Potential Repudiation: Theoretical and Empirical Analysis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(2), pages 289-309.
    8. Yuliy Sannikov, 2008. "A Continuous-Time Version of the Principal-Agent Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 957-984.
    9. Milton Harris & Bengt Holmstrom, 1982. "A Theory of Wage Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(3), pages 315-333.
    10. Jonathan Thomas & Tim Worrall, 1988. "Self-Enforcing Wage Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 541-554.
    11. Dirk Krueger & Fabrizio Perri, 2006. "Does Income Inequality Lead to Consumption Inequality? Evidence and Theory -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 163-193.
    12. Tomasz Piskorski & Alexei Tchistyi, 2010. "Optimal Mortgage Design," The Review of Financial Studies, Society for Financial Studies, vol. 23(8), pages 3098-3140, August.
    13. Zhiguo He, 2009. "Optimal Executive Compensation when Firm Size Follows Geometric Brownian Motion," The Review of Financial Studies, Society for Financial Studies, vol. 22(2), pages 859-892, February.
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    More about this item

    Keywords

    Borrowing constraint; limited commitment;

    JEL classification:

    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

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