Most of the banks' operational risk internal models are based on loss pooling in risk and business line categories. The parameters and outputs of operational risk models are sensitive to the pooling of the data and the choice of the risk classification. In a simple model, we establish the link...

The recent publication of the IFRS 9 norms has emphasized the fact that a shared and comprehensive methodology for PD analytics on credit portfolios was still lacking. Credit risk assessment is often static and short term because the industry has focused on assessing risk over a one year...

We propose a portfolio approach for operational risk quantification based on a class of analytical models from which we derive new results on the correlation problem. In particular, we show that uniform correlation is a robust assumption for measuring capital charges in these models

Internal models of operational risk are all built based on the same guidelines provided by the regulators. However, we observe a broad range of practices among banks concerning modeling choices and calibration methods. It is thus relevant to discuss the relative importance of the main drivers...

Many asymptotic formulas exist for unrestricted integer partitions as well as for equal partitions of integers into a finite number of parts. We use an analogy with fermion gases and the tools of statistical physics to derive asymptotic formulas for distinct partitions with a large but finite...

The recent publication of the IFRS 9 norms related to collective provisions for non defaulted instruments has settled a new vision to banking book portfolios. In this paper we show that the IFRS 9 provision measured through the Expected Credit Loss (ECL), inspired from a market vision on loan...