2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210136In this paper, we generalize the parametric Delta-VaR methods from portfolios with elliptic distributed risk factors to portfolios with mixture of elliptically distributed ones. We treat both the Expected Shortfall and the Value-at-Risk of such portfolios. Special attention is given to the particular case of the mixture of Student-t distributions.Analysis of PDEsClassical Analysis and ODEsRisk ManagementVaR and ES for linear portfolios with mixture of elliptic distributed Risk Factorstext