Basel II requires that the internal estimates of Loss Given Default (LGD) reflect economic downturn conditions, thus modelling the "downturn LGD". In this work we suggest a methodology to estimate the downturn LGD distribution. Under the assumption that LGD is a mixture of an expansion and a...

We consider the expected shortfall of accounting values, or, mathematically speaking, of random variables that are not continuous (i. e. whose cumulative distribution function is not continuous). Acerbi and Tasche show that one has to abandon the conditional expectation in order to maintain...