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Optimal portfolio choice for an insurer with loss aversion

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  • Guo, Wenjing

Abstract

The problem of optimal investment for an insurance company attracts more attention in recent years. In general, the investment decision maker of the insurance company is assumed to be rational and risk averse. This is inconsistent with non fully rational decision-making way in the real world. In this paper we investigate an optimal portfolio selection problem for the insurer. The investment decision maker is assumed to be loss averse. The surplus process of the insurer is modeled by a Lévy process. The insurer aims to maximize the expected utility when terminal wealth exceeds his aspiration level. With the help of martingale method, we translate the dynamic maximization problem into an equivalent static optimization problem. By solving the static optimization problem, we derive explicit expressions of the optimal portfolio and the optimal wealth process.

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  • Guo, Wenjing, 2014. "Optimal portfolio choice for an insurer with loss aversion," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 217-222.
    • Handle: RePEc:eee:insuma:v:58:y:2014:i:c:p:217-222
    DOI: 10.1016/j.insmatheco.2014.07.004
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    Cited by:

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    2. Martin Eling & Ruo Jia, 2017. "Recent Research Developments Affecting Nonlife Insurance—The CAS Risk Premium Project 2014 Update," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 20(1), pages 63-77, March.
    3. Jost, Peter-J., 2016. "Competitive insurance pricing with complete information, loss-averse utility and finitely many policies," Insurance: Mathematics and Economics, Elsevier, vol. 66(C), pages 11-21.
    4. Jia Yue & Ming-Hui Wang & Nan-Jing Huang, 2022. "Global Optimal Consumption–Portfolio Rules with Myopic Preferences and Loss Aversion," Computational Economics, Springer;Society for Computational Economics, vol. 60(4), pages 1427-1455, December.
    5. Chen, Zheng & Li, Zhongfei & Zeng, Yan & Sun, Jingyun, 2017. "Asset allocation under loss aversion and minimum performance constraint in a DC pension plan with inflation risk," Insurance: Mathematics and Economics, Elsevier, vol. 75(C), pages 137-150.

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