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Repeated Insurance Relationships in a Costly State Verification Model: With an Application to Deposit Insurance

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  • Smith, Bruce D.
  • Wang, Cheng

Abstract

We consider the problem of an insurer who enters into a repeated relationship with a set of risk averse agents in the presence of ex post verification costs. The insurer wishes to minimize the expected cost of providing these agents a certain expected utility level. We characterize the optimal contract between the insurer and the insured agents. We then apply the analysis to the provision of deposit insurance. Our results suggest - in a deposit insurance context - that it may be optimal to utilize the discount window early on, and to make deposit insurance payments only later, or not at all.
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Suggested Citation

  • Smith, Bruce D. & Wang, Cheng, 1998. "Repeated Insurance Relationships in a Costly State Verification Model: With an Application to Deposit Insurance," Staff General Research Papers Archive 5194, Iowa State University, Department of Economics.
  • Handle: RePEc:isu:genres:5194
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    References listed on IDEAS

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    1. Phelan, C. & Townsend, R.M., 1990. "Computing Multiperiod, Information-Constrained Optima," University of Chicago - Economics Research Center 90-13, Chicago - Economics Research Center.
    2. Antinolfi, Gaetano & Carli, Francesco, 2015. "Costly monitoring, dynamic incentives, and default," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 105-119.
    3. Andrew Atkeson & Robert E. Lucas, 1992. "On Efficient Distribution With Private Information," Review of Economic Studies, Oxford University Press, vol. 59(3), pages 427-453.
    4. Stephen D. Williamson, 1998. "Discount Window Lending and Deposit Insurance," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(1), pages 246-275, January.
    5. Boyd, John H. & Smith, Bruce D., 1997. "Capital Market Imperfections, International Credit Markets, and Nonconvergence," Journal of Economic Theory, Elsevier, vol. 73(2), pages 335-364, April.
    6. Williamson, Stephen D, 1987. "Financial Intermediation, Business Failures, and Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 95(6), pages 1196-1216, December.
    7. Bernanke, Ben & Gertler, Mark, 1989. "Agency Costs, Net Worth, and Business Fluctuations," American Economic Review, American Economic Association, vol. 79(1), pages 14-31, March.
    8. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Oxford University Press, vol. 54(4), pages 599-617.
    9. Yi Jin & Charles K.Y. Leung & Zhixiong Zeng, 2012. "Real Estate, the External Finance Premium and Business Investment: A Quantitative Dynamic General Equilibrium Analysis," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 40(1), pages 167-195, March.
    10. Christopher Phelan, 1994. "Incentives and Aggregate Shocks," Review of Economic Studies, Oxford University Press, vol. 61(4), pages 681-700.
    11. Townsend, Robert M., 1983. "Theories of intermediated structures," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 18(1), pages 221-272, January.
    12. Boyd, John H & Smith, Bruce D, 1994. "How Good Are Standard Debt Contracts? Stochastic versus Nonstochastic Monitoring in a Costly State Verification Environment," The Journal of Business, University of Chicago Press, vol. 67(4), pages 539-561, October.
    13. Townsend, Robert M., 1988. "Information constrained insurance : The revelation principle extended," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 411-450.
    14. Townsend, Robert M., 1979. "Optimal contracts and competitive markets with costly state verification," Journal of Economic Theory, Elsevier, vol. 21(2), pages 265-293, October.
    15. Robert M. Townsend, 1978. "Intermediation with Costly Bilateral Exchange," Review of Economic Studies, Oxford University Press, vol. 45(3), pages 417-425.
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    Cited by:

    1. Yi Jin & Charles K.Y. Leung & Zhixiong Zeng, 2012. "Real Estate, the External Finance Premium and Business Investment: A Quantitative Dynamic General Equilibrium Analysis," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 40(1), pages 167-195, March.
    2. Cyril Monnet & Erwan Quintin, 2005. "Optimal contracts in a dynamic costly state verification model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 867-885, November.
    3. Jain, N. & Imai, S., 2015. "Dynamic Costly State Verification with Repeated Loans: a two-period analysis," Working Papers 13889, Department of Economics, City University London.
    4. Antinolfi, Gaetano & Carli, Francesco, 2015. "Costly monitoring, dynamic incentives, and default," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 105-119.
    5. Kocherlakota Narayana R, 2001. "Risky Collateral and Deposit Insurance," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(1), pages 1-20, February.
    6. Espinosa-Vega, Marco A. & Smith, Bruce D. & Yip, Chong K., 2002. "Monetary Policy and Government Credit Programs," Journal of Financial Intermediation, Elsevier, vol. 11(3), pages 232-268, July.
    7. Boyd, John H. & Smith, Bruce D., 1999. "The Use of Debt and Equity in Optimal Financial Contracts," Journal of Financial Intermediation, Elsevier, vol. 8(4), pages 270-316, October.
    8. Edward Simpson Prescott, 2004. "Auditing and bank capital regulation," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 47-63.

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