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Borrowing Constraint as an Optimal Contract

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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.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 23216.

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Date of creation: 2009
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Handle: RePEc:pra:mprapa:23216

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Keywords: Borrowing constraint; limited commitment;

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  1. Milton Harris & Bengt Holmstrom, 1981. "A Theory of Wage Dynamics," Discussion Papers 488, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Tomasz Piskorski & Alexei Tchistyi, 2010. "Optimal Mortgage Design," Review of Financial Studies, Society for Financial Studies, vol. 23(8), pages 3098-3140, August.
  3. Kehoe, Timothy J & Levine, David K, 1993. "Debt-Constrained Asset Markets," Review of Economic Studies, Wiley Blackwell, vol. 60(4), pages 865-88, October.
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  5. Eaton, Jonathan & Gersovitz, Mark, 1981. "Debt with Potential Repudiation: Theoretical and Empirical Analysis," Review of Economic Studies, Wiley Blackwell, vol. 48(2), pages 289-309, April.
  6. Zhang, Yuzhe, 2009. "Dynamic contracting with persistent shocks," Journal of Economic Theory, Elsevier, vol. 144(2), pages 635-675, March.
  7. Yuliy Sannikov, 2008. "A Continuous-Time Version of the Principal-Agent Problem," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 957-984.
  8. Krueger, Dirk & Uhlig, Harald, 2005. "Competitive risk sharing contracts with one-sided commitment," CFS Working Paper Series 2005/07, Center for Financial Studies (CFS).
  9. Thomas, Jonathan & Worrall, Tim, 1988. "Self-enforcing Wage Contracts," Review of Economic Studies, Wiley Blackwell, vol. 55(4), pages 541-54, October.
  10. Zhiguo He, 2009. "Optimal Executive Compensation when Firm Size Follows Geometric Brownian Motion," Review of Financial Studies, Society for Financial Studies, vol. 22(2), pages 859-892, February.
  11. Stefania Albanesi & Christopher Sleet, 2006. "Dynamic Optimal Taxation with Private Information," Review of Economic Studies, Oxford University Press, vol. 73(1), pages 1-30.
  12. Dirk Krueger & Fabrizio Perri, 2006. "Does Income Inequality Lead to Consumption Inequality? Evidence and Theory -super-1," Review of Economic Studies, Oxford University Press, vol. 73(1), pages 163-193.
  13. Rui Albuquerque & Hugo Hopenhayn, 2002. "Optimal Lending Contracts and Firm Dynamics," RCER Working Papers 493, University of Rochester - Center for Economic Research (RCER).
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