Sample Average Approximation for Portfolio Optimization under CVaR constraint in an (re)insurance context

J\'er\^ome Lelong, V\'eronique Maume-Deschamps and William Thevenot
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J\'er\^ome Lelong: LJK
V\'eronique Maume-Deschamps: ICJ, PSPM
William Thevenot: ICJ, PSPM

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Abstract: We consider optimal allocation problems with Conditional Value-At-Risk (CVaR) constraint. We prove, under very mild assumptions, the convergence of the Sample Average Approximation method (SAA) applied to this problem, and we also exhibit a convergence rate and discuss the uniqueness of the solution. These results give (re)insurers a practical solution to portfolio optimization under market regulatory constraints, i.e. a certain level of risk.

Date: 2024-10
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