Risks are usually represented and measured by volatility-covolatility matrices.Wishart processes are models for a dynamic analysis of multivariaterisk, that describe the evolution of stochastic volatility-covolatility matrices,constrained to be symmetric positive definite. The autoregressive...

This paper provides a uni¯ed statistical framework for the analysis of distortion riskmeasures (DRM) and of their sensitivities with respect to parameters representing riskaversion and/or pessimism. We derive the general formula for calculating the functionalasymptotic distribution of the...

This paper extends to the multiasset framework the closed-form solution for options withstochastic volatility derived in Heston (1993) and Ball and Roma (1994). This extensionintroduces a risk premium in the return equation and considers Wishart dynamics for theprocess of the stochastic...

This article introduces a framework to determine and allocate capital reserves to multiple dependent business lines, with or without overall reserve level constraints. The proposed methodology emphasizes the role of the loss function in the validation criterion and its conditional...