<p>This paper investigates the optimal asset-liability strategy for an insurer with uncertain exit time under the mean-variance criterion. We model the risky asset price process and the liability process as general jump-diffusion processes that incorporate random parameters, and the correlation between the risky asset price process and liability process is incorporated into our research framework. The sufficient and necessary conditions for optimal asset-liability strategies are deduced by using the Malliavin calculus. Finally, a closed-form solution for the optimal strategy is also obtained in a special case.</p>

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Optimal deterministic asset-liability management with uncertain time horizon under mean-variance criterion

  • Hongwei Liu,
  • Xinzhi Wang,
  • Pengcheng Ma

摘要

This paper investigates the optimal asset-liability strategy for an insurer with uncertain exit time under the mean-variance criterion. We model the risky asset price process and the liability process as general jump-diffusion processes that incorporate random parameters, and the correlation between the risky asset price process and liability process is incorporated into our research framework. The sufficient and necessary conditions for optimal asset-liability strategies are deduced by using the Malliavin calculus. Finally, a closed-form solution for the optimal strategy is also obtained in a special case.