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...

We estimate the tail exponent of daily, weekly and monthly returns of 22 world stocks. We show that the left tails are significantly heavier than the right one. On the other hand, we find indications against the stylized fact that the tails of longer period returns lighter than those of the...