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Optimal insurance contract under a value-at-risk constraint

Author

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  • Hung-Hsi Huang

    (Department of Business Administration, Southern Taiwan University of Technology, No. 1, Nan-Tai Street, Yung-Kang, Taiwan, e-mail: d86723002@ntu.edu.tw)

Abstract

This study develops an optimal insurance contract endogenously under a value-at-risk (VaR) constraint. Although Wang et al. [2005] had examined this problem, their assumption implied that the insured is risk neutral. Consequently, this study extends Wang et al. [2005] and further considers a more realistic situation where the insured is risk averse. The study derives the optimal insurance contract as a single deductible insurance when the VaR constraint is redundant or as a double deductible insurance when the VaR constraint is binding. Finally, this study discusses the optimal coverage level from common forms of insurances, including deductible insurance, upper-limit insurance, and proportional coinsurance. The Geneva Risk and Insurance Review (2006) 31, 91–110. doi:10.1007/s10713-006-0557-5

Suggested Citation

  • Hung-Hsi Huang, 2006. "Optimal insurance contract under a value-at-risk constraint," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 31(2), pages 91-110, December.
  • Handle: RePEc:pal:genrir:v:31:y:2006:i:2:p:91-110
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    Citations

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    Cited by:

    1. Sun, Haoze & Weng, Chengguo & Zhang, Yi, 2017. "Optimal multivariate quota-share reinsurance: A nonparametric mean-CVaR framework," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 197-214.
    2. Zhou, Chunyang & Wu, Chongfeng, 2008. "Optimal insurance under the insurer's risk constraint," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 992-999, June.
    3. 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.
    4. Tan, Ken Seng & Weng, Chengguo & Zhang, Yi, 2011. "Optimality of general reinsurance contracts under CTE risk measure," Insurance: Mathematics and Economics, Elsevier, vol. 49(2), pages 175-187, September.
    5. 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.
    6. 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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