The recursive prediction and filtering formulas of the Kalman filter are difficult to implement in nonlinear state space models. For Gaussian linear state space models, or for models with qualitative state variables, the recursive formulas of the filter require the updating of a finite number of...

We consider the VaR associated with the global loss generated by a set risk sources. We propose a sequence of simple models incorporating progressively the notions of contagion due to instantaneous correlations, of serial correlation, of evolution of the instantaneous correlations, of volatility...