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Optimal insurance contracts without the non-negativity constraint on indemnities: revisited

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  • Michael Breuer

Abstract

In the literature on optimal indemnity schedules, indemnities are usually restricted to be non-negative. Keeler [1974] and Gollier [1987] show that this constraint might well bind: insured could get higher expected utility if insurance contracts would allow payments from the insured to the insurer at some losses. This paper extends Collier’s findings by allowing for negative indemnity payments for a broader class of insurers’ cost functions and argues that the indemnity schedule derived here is more appropriate for practical applications (e.g. in health insurance). Copyright Springer Science + Business Media, LLC 2006

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  • Michael Breuer, 2006. "Optimal insurance contracts without the non-negativity constraint on indemnities: revisited," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 31(1), pages 5-9, July.
    • Handle: RePEc:kap:geneva:v:31:y:2006:i:1:p:5-9
    DOI: 10.1007/s10713-006-9463-0
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    References listed on IDEAS

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    1. Sandrine Spaeter & Patrick Roger, 1997. "The Design of Optimal Insurance Contracts: A Topological Approach," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 22(1), pages 5-19, June.
    2. MOSSIN, Jan, 1968. "Aspects of rational insurance purchasing," LIDAM Reprints CORE 23, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Gould, John P, 1969. "The Expected Utility Hypothesis and the Selection of Optimal Deductibles for a Given Insurance Policy," The Journal of Business, University of Chicago Press, vol. 42(2), pages 143-151, April.
    4. Raviv, Artur, 1979. "The Design of an Optimal Insurance Policy," American Economic Review, American Economic Association, vol. 69(1), pages 84-96, March.
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    Cited by:

    1. J François Outreville, 2010. "The Geneva Risk and Insurance Review 2009: In Quest of Behavioural Insurance," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 35(3), pages 484-497, July.

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