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Characterization of a Risk Sharing Contract with One-Sided Commitment

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  • Zhang, Yuzhe

Abstract

In this paper I provide a stopping-time-based solution to a long-term contracting problem between a risk-neutral principal and a risk-averse agent. The agent faces a stochastic income stream and cannot commit to the long-term contracting relationship. To compute the optimal contract, I also design an algorithm that is more efficient than value-function iteration.

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File URL: http://mpra.ub.uni-muenchen.de/42820/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 42820.

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Date of creation: Nov 2012
Date of revision: Aug 2012
Handle: RePEc:pra:mprapa:42820

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Keywords: Limited commitment; Risk sharing; Stopping time; Value-function iteration;

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References

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  1. Rui Albuquerque & Hugo Hopenhayn, 2002. "Optimal Lending Contracts and Firm Dynamics," RCER Working Papers 493, University of Rochester - Center for Economic Research (RCER).
  2. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
  3. Jérôme Detemple & Angel Serrat, 2003. "Dynamic Equilibrium with Liquidity Constraints," Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 597-629.
  4. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-63, September.
  5. Dirk Krueger & Harald Uhlig, 2003. "Competitive Risk Sharing Contracts with One-Sided Commitment," NBER Working Papers 10135, National Bureau of Economic Research, Inc.
  6. Krueger, Dirk & Perri, Fabrizio, 2010. "Public versus Private Risk Sharing," CEPR Discussion Papers 7625, C.E.P.R. Discussion Papers.
  7. Jonathan Thomas & Tim Worral, 2004. "Unemployment Insurance under Moral Hazard and Limited Commitment: Public versus Private Provision," ESE Discussion Papers 95, Edinburgh School of Economics, University of Edinburgh.
  8. Thomas, Jonathan & Worrall, Tim, 1988. "Self-enforcing Wage Contracts," Review of Economic Studies, Wiley Blackwell, vol. 55(4), pages 541-54, October.
  9. Rui Albuquerque & Hugo A. Hopenhayn, 2004. "Optimal Lending Contracts and Firm Dynamics," Review of Economic Studies, Oxford University Press, vol. 71(2), pages 285-315.
  10. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, vol. 68(4), pages 775-798, July.
  11. Tobias Broer, 2009. "Stationary equilibrium distributions in economies with limited commitment," Economics Working Papers ECO2009/39, European University Institute.
  12. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-96, March.
  13. Debraj Ray, 2002. "The Time Structure of Self-Enforcing Agreements," Econometrica, Econometric Society, vol. 70(2), pages 547-582, March.
  14. Kehoe, Timothy J & Levine, David K, 1993. "Debt-Constrained Asset Markets," Review of Economic Studies, Wiley Blackwell, vol. 60(4), pages 865-88, October.
  15. Grochulskiy, Borys & Zhang, Yuzhe, 2011. "Optimal risk sharing and borrowing constraints in a continuous-time model with limited commitment," MPRA Paper 36539, University Library of Munich, Germany.
  16. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, December.
  17. 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.
  18. Spear, Stephen E & Srivastava, Sanjay, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Wiley Blackwell, vol. 54(4), pages 599-617, October.
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Cited by:
  1. Grochulski, Borys & Zhang, Yuzhe, 2011. "Optimal risk sharing and borrowing constraints in a continuous-time model with limited commitment," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2356-2388.

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