We provide a proof for the functional Feynman-Kac Theorem for jump diffusions with path-dependent coefficients. To obtain this result we first study the existence and uniqueness of solutions to functional jump diffusions and derive a useful bound for the solution. We apply our results to the...

A flexible way to incorporate heterogeneous tail-dependency into dependency modeling based on a recently proposed modification of the t-copula is presented and applied to a realistic credit portfolio. The heterogeneous t-copula is assumed for the underlying multivariate factor model and it is...

In time series of financial data one often observes significant sudden changes as in the credit crisis in 2008. One way to model those changes is regime switching. Here we show how to handle regime switching in a tree associated with a Cox-Ingersoll-Ross short rate process

Values of tranche spreads of collateralized debt obligations (CDOs) are driven by the joint default performance of the assets in the collateral pool. The dependence between the names in the portfolio mainly depends on current economic conditions. Therefore, a correlation implied from tranches...

In this short paper we provide a new representation result for dynamic capital allocations and dynamic convex risk measures that are based on backward stochastic differential equations. We derive this representation from a classical differentiability result for backward stochastic differential...