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Mean-Variance Optimization for Participating Life Insurance Contracts

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  • Felix Fie{ss}inger
  • Mitja Stadje

Abstract

This paper studies the equity holders' mean-variance optimal portfolio choice problem for (non-)protected participating life insurance contracts. We derive explicit formulas for the optimal terminal wealth and the optimal strategy in the multi-dimensional Black-Scholes model, showing the existence of all necessary parameters. In incomplete markets, we state Hamilton-Jacobi-Bellman equations for the value function. Moreover, we provide a numerical analysis of the Black-Scholes market. The equity holders on average increase their investment into the risky asset in bad economic states and decrease their investment over time.

Suggested Citation

  • Felix Fie{ss}inger & Mitja Stadje, 2024. "Mean-Variance Optimization for Participating Life Insurance Contracts," Papers 2407.11761, arXiv.org, revised Dec 2024.
    • Handle: RePEc:arx:papers:2407.11761
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    References listed on IDEAS

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