WebJan 1, 2024 · This paper studies the optimal investment, consumption and life insurance decisions of an agent under stochastic differential utility. The optimal choice is obtained through dynamic... WebJan 17, 2024 · Classic Merton optimal life-cycle portfolio and consumption models are based on diffusion models for risky assets. In this paper, we extend the Richard’s (1975) optimal life-cycle model by allowing jumps and regime switching in the diffusion of risky assets. We develop a system of paired Hamilton–Jacobi–Bellman (HJB) equations.
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Optimal Life Insurance Purchase, Consumption and Investment?
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