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Optimal Reinsurance Arrangements Under Tail Risk Measures

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  • Carole Bernard
  • Weidong Tian
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    Abstract

    Regulatory authorities demand insurance companies control their risk exposure by imposing stringent risk management policies. This article investigates the optimal risk management strategy of an insurance company subject to regulatory constraints. We provide optimal reinsurance contracts under different tail risk measures and analyze the impact of regulators' requirements on risk sharing in the reinsurance market. Our results underpin adverse incentives for the insurer when compulsory Value-at-Risk risk management requirements are imposed. But economic effects may vary when regulatory constraints involve other risk measures. Finally, we compare the obtained optimal designs to existing reinsurance contracts and alternative risk transfer mechanisms on the capital market. Copyright (c) The Journal of Risk and Insurance, 2009.

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    File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1539-6975.2009.01315.x
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    Bibliographic Info

    Article provided by The American Risk and Insurance Association in its journal Journal of Risk and Insurance.

    Volume (Year): 76 (2009)
    Issue (Month): 3 ()
    Pages: 709-725

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    Handle: RePEc:bla:jrinsu:v:76:y:2009:i:3:p:709-725

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    Cited by:
    1. Alejandro Balbás & Beatriz Balbás & Antonio Heras, 2010. "Stability of the optimal reinsurance with respect to the risk measure," Business Economics Working Papers wb100201, Universidad Carlos III, Departamento de Economía de la Empresa.
    2. Balbás, Alejandro & Balbás, Beatriz & Heras, Antonio, 2011. "Stable solutions for optimal reinsurance problems involving risk measures," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/13079, Universidad Carlos III de Madrid.
    3. Sordo, Miguel A., 2009. "Comparing tail variabilities of risks by means of the excess wealth order," Insurance: Mathematics and Economics, Elsevier, vol. 45(3), pages 466-469, December.
    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.

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