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

14 Oct 2024  ·  Jérôme Lelong, Véronique Maume-Deschamps, William Thevenot ·

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.

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