In this paper, we characterize explicitly the first derivative of the Value at Risk and the Expected Shortfall with respect to portfolio allocation when netting between positions exists. As a particular case, we examine a simple Gaussian example in order to illustrate the impact of netting...

We consider a nonparametric method to estimate copulas, i.e. functions linking joint distributions to their univariate margins. We derive the asymptotic properties of kernel estimators of copulas and their derivatives in the context of a multivariate stationary process satisfactory strong mixing...

A common method of valuing the equity in leveraged transactions is the flows-to-equity method whereby the free cash flow available to equity holders is discounted at the cost of equity. This method uses a standard definition of equity free cash flow, but the cost of equity varies over time as...

We propose a simple and implementable model of credit contagion where we in-clude macro- and microstructural dependencies among the debtors within a creditportfolio. We show that, even for diversified portfolios, moderate microstructuraldependencies have already a significant impact on the tails...