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Optimal decision-making for consumption, investment, housing, and life insurance purchase in a couple with dependent mortality

Author

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  • Zhang, Jinhui
  • Wei, Jiaqin
  • Wang, Ning

Abstract

In this article, we study an optimization problem for a couple including two breadwinners with uncertain life times. Both breadwinners need to choose the optimal strategies for consumption, investment, housing, and life insurance purchasing to maximize the utility. In this article, the prices of housing assets and investment risky assets are assumed to be correlated. These two breadwinners are considered to have dependent mortality rates to include the breaking heart effect. The method of copula functions is used to construct the joint survival functions of two breadwinners. The analytical solutions of optimal strategies can be achieved, and numerical results are demonstrated.

Suggested Citation

  • Zhang, Jinhui & Wei, Jiaqin & Wang, Ning, 2025. "Optimal decision-making for consumption, investment, housing, and life insurance purchase in a couple with dependent mortality," Annals of Actuarial Science, Cambridge University Press, vol. 19(3), pages 482-510, November.
    • Handle: RePEc:cup:anacsi:v:19:y:2025:i:3:p:482-510_6
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    Cited by:

    1. Wang, Hao & Siu, Tak Kuen & Wang, Ning & Wang, Rongming, 2025. "Utility maximization of household with information learning and health shocks," Finance Research Letters, Elsevier, vol. 86(PA).

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