Exponential Lévy processes can be used to model the evolution of various financial variables such as FX rates, stock prices, etc. Considerable efforts have been devoted to pricing derivatives written on underliers governed by such processes, and the corresponding implied volatility surfaces...

We describe a new framework for collateralized exposure modelling under an ISDA Master Agreement with a Credit Support Annex. The proposed model captures legal and operational aspects of default in considerably greater detail than models currently used by most practitioners, while remaining...

We present the SPA framework, a novel approach to the modeling of the dynamics of portfolio default losses. In this framework, models are specified by a two-layer process. The first layer models the dynamics of portfolio loss distributions in the absence of information about default times. This...