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Second-best insurance contract design in an incomplete market

Author

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  • GOLLIER, Christian

    (HEC School of Management, Paris)

  • SCHLESINGER, Harris

    (University of Alabama)

Abstract

This paper considers the optimal form of insurance contracts for multiple risks. A well-known result in the literature is that, under fairly general conditions, an insurance policy with a deductible for aggregate losses is optimal. We provide a new proof of this result based only on stochastic dominance (whereas existing proofs require dynamic optimization techniques). Considering a real-world incompleteness, whereby separate loss exposures are indemnified via separate contracts, we show that separate deductibles are second-best optima in this setting. We compare the indemnity provided in this second-best setting with first-best solutions. The effect of second-best contracts on the individual's total insurance demand is also examined.

Suggested Citation

  • GOLLIER, Christian & SCHLESINGER, Harris, 1992. "Second-best insurance contract design in an incomplete market," CORE Discussion Papers 1992012, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:1992012
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    Cited by:

    1. Neil A. Doherty & Christian Laux & Alexander Muermann, 2015. "Insuring Nonverifiable Losses," Review of Finance, European Finance Association, vol. 19(1), pages 283-316.
    2. Doherty, Neil A. & Laux, Christian & Muermann, Alexander, 2010. "Insuring Non-verifiable Losses and the Role of Internediaries," Working Papers 11-31, University of Pennsylvania, Wharton School, Weiss Center.
    3. Michael Breuer, 2005. "Multiple Losses, "EX ANTE" Moral Hazard, and the Implications for Umbrella Policies," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(4), pages 525-538.
    4. Moore, Kristen S. & Young, Virginia R., 2006. "Optimal insurance in a continuous-time model," Insurance: Mathematics and Economics, Elsevier, vol. 39(1), pages 47-68, August.
    5. Ryle Perera, 2013. "Optimal investment, consumption–leisure, insurance and retirement choice," Annals of Finance, Springer, vol. 9(4), pages 689-723, November.
    6. Diana SOARE (DUMITRESCU) & Alexandru URSACHE & Olivia Georgiana NITA, 2015. "Aspects of Decisions in the Field of Insurance," Romanian Statistical Review Supplement, Romanian Statistical Review, vol. 63(10), pages 22-26, October.
    7. Laux, Christian, 2008. "Corporate insurance design with multiple risks and moral hazard," CFS Working Paper Series 2008/54, Center for Financial Studies (CFS).
    8. Carole Bernard & Shaolin Ji & Weidong Tian, 2013. "An optimal insurance design problem under Knightian uncertainty," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 36(2), pages 99-124, November.
    9. Cohen Alma, 2006. "The Disadvantages of Aggregate Deductibles," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 6(1), pages 1-28, April.
    10. Bovenberg, A.L. & Hansen, M. & Sorensen, P.B., 2008. "Individual savings accounts for social insurance : Rationale and alternative designs," Other publications TiSEM 72e236b0-ad63-4bea-a314-6, Tilburg University, School of Economics and Management.
    11. Malamud, Semyon & Rui, Huaxia & Whinston, Andrew, 2016. "Optimal reinsurance with multiple tranches," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 71-82.

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