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Optimal Insurance Design Under a Value-at-Risk Framework


  • Ching-Ping Wang


  • David Shyu


  • Hung-Hsi Huang



This study designs an optimal insurance policy form endogenously, assuming the objective of the insured is to maximize expected final wealth under the Value-at-Risk (VaR) constraint. The optimal insurance policy can be replicated using three options, including a long call option with a small strike price, a short call option with a large strike price, and a short cash-or-nothing call option. Additionally, this study also calculates the optimal insurance levels for these models when we restrict the indemnity to be one of three common forms: a deductible policy, an upper-limit policy, or a policy with proportional coinsurance. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • Ching-Ping Wang & David Shyu & Hung-Hsi Huang, 2005. "Optimal Insurance Design Under a Value-at-Risk Framework," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 30(2), pages 161-179, December.
  • Handle: RePEc:kap:geneva:v:30:y:2005:i:2:p:161-179
    DOI: 10.1007/s10713-005-4677-0

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    References listed on IDEAS

    1. Campbell, Rachel & Huisman, Ronald & Koedijk, Kees, 2001. "Optimal portfolio selection in a Value-at-Risk framework," Journal of Banking & Finance, Elsevier, vol. 25(9), pages 1789-1804, September.
    2. Basak, Suleyman & Shapiro, Alexander, 2001. "Value-at-Risk-Based Risk Management: Optimal Policies and Asset Prices," Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 371-405.
    3. Doherty, Neil A & Eeckhoudt, Louis, 1995. "Optimal Insurance without Expected Utility: The Dual Theory and the Linearity of Insurance Contracts," Journal of Risk and Uncertainty, Springer, vol. 10(2), pages 157-179, March.
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    Cited by:

    1. Wang, Ching-Ping & Huang, Hung-Hsi, 2016. "Optimal insurance contract under VaR and CVaR constraints," The North American Journal of Economics and Finance, Elsevier, vol. 37(C), pages 110-127.
    2. repec:eee:eneeco:v:66:y:2017:i:c:p:1-8 is not listed on IDEAS
    3. Carole Bernard & Weidong Tian, 2010. "Insurance Market Effects of Risk Management Metrics," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 35(1), pages 47-80, June.
    4. Sun, Wujun & Dong, Dandan, 2015. "On the optimal design of insurance contracts with the restriction of equity risk," Economic Modelling, Elsevier, vol. 51(C), pages 646-652.
    5. Carole Bernard & Weidong Tian, 2009. "Optimal Reinsurance Arrangements Under Tail Risk Measures," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 709-725.


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