We propose two structural models for stochastic losses given default which allow to model the credit losses of a portfolio of defaultable financial instruments. The credit losses are integrated into a structural model of default events accounting for correlations between the default events and...

We apply Geometric Arbitrage Theory to obtain results in mathematical finance for credit markets, which do not need stochastic differential geometry in their formulation. We obtain closed form equations involving default intensities and loss given defaults characterizing the...

A framework which consistently and fully integrates market, credit and country transfer risks of a general portfolio of financial assets in a multi-period setup is developed. An appropriate definition of exposure, loss-given-defaults and loss-given-transfer-events provides a unified treatment of...