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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
Date of revision:
Handle: RePEc:fip:fedmwp:574
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  1. 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.
  2. Andrew Atkeson & Robert E Lucas, 2010. "On Efficient Distribution with Private Information," Levine's Working Paper Archive 2179, David K. Levine.
  3. Townsend, Robert M., 1983. "Theories of intermediated structures," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 18(1), pages 221-272, January.
  4. Townsend, Robert M., 1988. "Information constrained insurance : The revelation principle extended," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 411-450.
  5. repec:oup:restud:v:45:y:1978:i:3:p:417-25 is not listed on IDEAS
  6. 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.
  7. repec:oup:restud:v:59:y:1992:i:3:p:427-53 is not listed on IDEAS
  8. repec:oup:restud:v:61:y:1994:i:4:p:681-700 is not listed on IDEAS
  9. 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.
  10. 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.
  11. repec:oup:restud:v:54:y:1987:i:4:p:599-617 is not listed on IDEAS
  12. 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.
  13. 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.
  14. 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.
  15. 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.
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