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Numerical methods for optimal insurance demand under marked point processes shocks

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  • Mohamed Mnif

Abstract

This paper deals with numerical solutions of maximizing expected utility from terminal wealth under a non-bankruptcy constraint. The wealth process is subject to shocks produced by a general marked point process. The problem of the agent is to derive the optimal insurance strategy which allows "lowering" the level of the shocks. This optimization problem is related to a suitable dual stochastic control problem in which the delicate boundary constraints disappear. In Mnif \cite{mnif10}, the dual value function is characterized as the unique viscosity solution of the corresponding Hamilton Jacobi Bellman Variational Inequality (HJBVI in short). We characterize the optimal insurance strategy by the solution of the variational inequality which we solve numerically by using an algorithm based on policy iterations.

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  • Mohamed Mnif, 2010. "Numerical methods for optimal insurance demand under marked point processes shocks," Papers 1009.0635, arXiv.org.
    • Handle: RePEc:arx:papers:1009.0635
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    References listed on IDEAS

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    1. Hojgaard, Bjarne & Taksar, Michael, 1998. "Optimal proportional reinsurance policies for diffusion models with transaction costs," Insurance: Mathematics and Economics, Elsevier, vol. 22(1), pages 41-51, May.
    2. Mohamed Mnif, 2010. "Optimal insurance demand under marked point processes shocks: a dynamic programming duality approach," Papers 1008.5058, arXiv.org.
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