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

Fuente: arXiv
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Autores principales: Lelong, Jérôme, Maume-Deschamps, Véronique, Thevenot, William
Formato: Preprint
Publicado: 2024
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author Lelong, Jérôme
Maume-Deschamps, Véronique
Thevenot, William
author_facet Lelong, Jérôme
Maume-Deschamps, Véronique
Thevenot, William
contents 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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id arxiv_https___arxiv_org_abs_2410_10239
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Sample Average Approximation for Portfolio Optimization under CVaR constraint in an (re)insurance context
Lelong, Jérôme
Maume-Deschamps, Véronique
Thevenot, William
Portfolio Management
Risk Management
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.
title Sample Average Approximation for Portfolio Optimization under CVaR constraint in an (re)insurance context
topic Portfolio Management
Risk Management
url https://arxiv.org/abs/2410.10239