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

Author

Listed:
  • J'er^ome Lelong

    (LJK)

  • V'eronique Maume-Deschamps

    (ICJ, PSPM)

  • William Thevenot

    (ICJ, PSPM)

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.

Suggested Citation

  • J'er^ome Lelong & V'eronique Maume-Deschamps & William Thevenot, 2024. "Sample Average Approximation for Portfolio Optimization under CVaR constraint in an (re)insurance context," Papers 2410.10239, arXiv.org.
  • Handle: RePEc:arx:papers:2410.10239
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    File URL: http://arxiv.org/pdf/2410.10239
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