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Optimal risk management with reinsurance and its counterparty risk hedging

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  • Chi, Yichun
  • Hu, Tao
  • Huang, Yuxia

Abstract

In this paper, we revisit the study of an optimal risk management strategy for an insurer who wants to maximize the expected utility by purchasing reinsurance and managing reinsurance counterparty risk with a default-free hedging instrument, where the reinsurance premium is calculated by the expected value principle and the price of the hedging instrument equals the expected payoff plus a proportional loading. Different to previous studies, we exclude ex post moral hazard by imposing the no-sabotage condition on reinsurance contracts and derive the optimal strategy analytically. We find that the stop-loss reinsurance is always optimal, but the form of the optimal hedging payoff depends on the cost difference between reinsurance and hedging instrument. We further show that full risk transfer is optimal if and only if both reinsurance pricing and the hedging price are fair. Finally, numerical analyses are conducted to illustrate the effects of some interesting factors on the optimal risk management strategy.

Suggested Citation

  • Chi, Yichun & Hu, Tao & Huang, Yuxia, 2023. "Optimal risk management with reinsurance and its counterparty risk hedging," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 274-292.
    • Handle: RePEc:eee:insuma:v:113:y:2023:i:c:p:274-292
    DOI: 10.1016/j.insmatheco.2023.09.003
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    References listed on IDEAS

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    Cited by:

    1. Zongxia Liang & Zhaojie Ren & Bin Zou, 2025. "Optimal Insurance under Endogenous Default and Background Risk," Papers 2501.05672, arXiv.org.
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    3. Xuelian Li & Shiu-Chieh Chiu & Jyh-Horng Lin & Yuxin Xie, 2024. "Assessing insurer guarantee cover and risk retention toward SDG 3: a structure-break down-and-out call valuation," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-10, December.

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    More about this item

    Keywords

    Risk management; Counterparty risk; Hedging; Mossin's theorem; No-sabotage condition;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

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