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Repeated insurance relationships in a costly state verification model: with an application to deposit insurance

  • Bruce D. Smith
  • Cheng Wang

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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Paper provided by Federal Reserve Bank of Minneapolis in its series Working Papers with number 574.

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Date of creation: 1997
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Handle: RePEc:fip:fedmwp:574
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  1. Townsend, Robert M., 1983. "Theories of intermediated structures," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 18(1), pages 221-272, January.
  2. Stephen D. Williamson, 1995. "Discount Window Lending and Deposit Insurance," Macroeconomics 9504001, EconWPA, revised 18 Apr 1995.
  3. Phelan, Christopher, 1994. "Incentives and Aggregate Shocks," Review of Economic Studies, Wiley Blackwell, vol. 61(4), pages 681-700, October.
  4. 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.
  5. 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.
  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. Phelan, Christopher & Townsend, Robert M, 1991. "Computing Multi-period, Information-Constrained Optima," Review of Economic Studies, Wiley Blackwell, vol. 58(5), pages 853-81, October.
  8. 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.
  9. Atkeson, Andrew & Lucas, Robert E, Jr, 1992. "On Efficient Distribution with Private Information," Review of Economic Studies, Wiley Blackwell, vol. 59(3), pages 427-53, July.
  10. 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 539-61, October.
  11. Townsend, Robert M, 1982. "Optimal Multiperiod Contracts and the Gain from Enduring Relationships under Private Information," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1166-86, December.
  12. 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.
  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, 1978. "Intermediation with Costly Bilateral Exchange," Review of Economic Studies, Wiley Blackwell, vol. 45(3), pages 417-25, October.
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