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The Disadvantages of Aggregate Deductibles

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Author Info
Alma Cohen (Harvard Law School John M. Olin Center for Law, Economics, and Business)
Abstract

This paper analyzes the choice of deductible in insurance contracts that insure against a risk that, as is common, might materialize more than once during the life of the policy. As was established by Arrow (1963), from the perspective of risk-bearing costs, the optimal contract is one that uses an aggregate deductible that applies to the aggregate losses incurred over the life of the policy. Aggregate deductibles, however, are uncommon in practice. This paper identifies two disadvantages that aggregate deductibles have. Aggregate deductibles are shown to produce higher expected verification costs and moral hazard costs than contracts that apply a per-loss deductible to each loss that occurs. I further show that each of these disadvantages can make an aggregate deductible contact inferior to a contract with per loss deductibles. The results of the analysis can help explain the rare use of aggregate deductibles and, in addition, might explain why umbrella policies that cover all types of losses are rarely used.

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Publisher Info
Article provided by Berkeley Electronic Press in its journal Topics in Economic Analysis & Policy.

Volume (Year): 6 (2006)
Issue (Month): 1 ()
Pages: 1055-1055
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Related research
Keywords: insurance deductible moral hazard verification

Find related papers by JEL classification:
D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

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    Other versions:
  2. Doherty, Neil A & Schlesinger, Harris, 1983. "Optimal Insurance in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 91(6), pages 1045-54, December. [Downloadable!] (restricted)
  3. Picard, Pierre, 1994. "Auditing claims in insurance market with fraud : the credibility issue," CEPREMAP Working Papers (Couverture Orange) 9420, CEPREMAP.
  4. Zilcha, Itzhak & Chew, Soo Hong, 1990. "Invariance of the efficient sets when the expected utility hypothesis is relaxed," Journal of Economic Behavior & Organization, Elsevier, vol. 13(1), pages 125-131, January. [Downloadable!] (restricted)
  5. Smith, Eric & Wright, Randall, 1992. "Why Is Automobile Insurance in Philadelphia So Damn Expensive?," American Economic Review, American Economic Association, vol. 82(4), pages 756-72, September. [Downloadable!] (restricted)
    Other versions:
  6. Christian Gollier & Harris Schlesinger, 1996. "Arrow's theorem on the optimality of deductibles: A stochastic dominance approach (*)," Economic Theory, Springer, vol. 7(2), pages 359-363.
  7. Bond, Eric W. & Crocker, Keith J., 1997. "Hardball and the soft touch: The economics of optimal insurance contracts with costly state verification and endogenous monitoring costs," Journal of Public Economics, Elsevier, vol. 63(2), pages 239-264, January. [Downloadable!] (restricted)
    Other versions:
  8. L. Caron & G. Dionne, 1997. "Insurance fraud estimation : more evidence from the Quebec automobile insurance industry," THEMA Working Papers 97-21, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  9. Cummins, J David & Tennyson, Sharon, 1996. "Moral Hazard in Insurance Claiming: Evidence from Automobile Insurance," Journal of Risk and Uncertainty, Springer, vol. 12(1), pages 29-50, January.
  10. Shavell, Steven, 1979. "On Moral Hazard and Insurance," The Quarterly Journal of Economics, MIT Press, vol. 93(4), pages 541-62, November. [Downloadable!] (restricted)
  11. Gollier, C. & Schlesinger, H., 1992. "Second-Best Insurance Contract Design in an Incomplete Market," Papers 9212, Catholique de Louvain - Center for Operations Research and Economics.
    Other versions:
  12. Keith J. Crocker & John Morgan, 1998. "Is Honesty the Best Policy? Curtailing Insurance Fraud through Optimal Incentive Contracts," Journal of Political Economy, University of Chicago Press, vol. 106(2), pages 355-375, April. [Downloadable!] (restricted)
  13. Alma Cohen & Liran Einav, 2005. "Estimating Risk Preferences from Deductible Choice," NBER Working Papers 11461, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  14. Alma Cohen, 2005. "Asymmetric Information and Learning: Evidence from the Automobile Insurance Market," The Review of Economics and Statistics, MIT Press, vol. 87(2), pages 197-207, 08. [Downloadable!] (restricted)
  15. Spence, Michael & Zeckhauser, Richard, 1971. "Insurance, Information, and Individual Action," American Economic Review, American Economic Association, vol. 61(2), pages 380-87, May.
  16. Bell, David E & Fishburn, Peter C, 2000. " Utility Functions for Wealth," Journal of Risk and Uncertainty, Springer, vol. 20(1), pages 5-44, January. [Downloadable!] (restricted)
  17. Raviv, Artur, 1979. "The Design of an Optimal Insurance Policy," American Economic Review, American Economic Association, vol. 69(1), pages 84-96, March. [Downloadable!] (restricted)
  18. Gollier, Christian & Schlesinger, Harris, 1996. "Arrow's Theorem on the Optimality of Deductibles: A Stochastic Dominance Approach," Economic Theory, Springer, vol. 7(2), pages 359-63, February.
  19. Mayers, David & Smith, Clifford W, Jr, 1983. "The Interdependence of Individual Portfolio Decisions and the Demand for Insurance," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 304-11, April. [Downloadable!] (restricted)
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