We propose a dynamic structural model of a loan portfolio, secured by collaterals. Contrary to existing dynamic models, our model takes into account the time-dependence of the debtors' wealth and the fact that, due to defaults, the financial health within the portfolio improves in comparison to...

We propose a dynamic structural model of credit risk of multiple loan portfolios. In line with Merton, Vasicek and Pykhtin, we assume that a loan defaults if the assets of the debtor fall below his liabilities, and that the subsequent loss given default is determined by the collateral value. For...

We introduce a theoretical tool for handling pure-jump processes taking values in complex spaces. We generalize the notion of rate kernels for the non-Markov case, being able to describe any pure-jump process in Borel space with absolutely continuous conditional distribution of jump times. We...