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Pré-Publication, Document De Travail Année : 2022

Multivariate Optimized Certainty Equivalent Risk Measures and their Numerical Computation

Sarah Kaakai
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  • PersonId : 1066091
Anis Matoussi
Achraf Tamtalini
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  • PersonId : 1174287

Résumé

We present a framework for constructing multivariate risk measures that is inspired from univariate Optimized Certainty Equivalent (OCE) risk measures. We show that this new class of risk measures verifies the desirable properties such as convexity, monotonocity and cash invariance. We also address numerical aspects of their computations using stochastic algorithms instead of using Monte Carlo or Fourier methods that do not provide any error of the estimation.
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Dates et versions

hal-03817818 , version 1 (24-10-2022)
hal-03817818 , version 2 (25-11-2022)

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Sarah Kaakai, Anis Matoussi, Achraf Tamtalini. Multivariate Optimized Certainty Equivalent Risk Measures and their Numerical Computation. 2022. ⟨hal-03817818v2⟩
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