The Risk Map: A New Tool for Validating Risk Models

Gilbert Colletaz (1) , Christophe Hurlin (1) , Christophe Pérignon (2)

1 LEO - Laboratoire d'économie d'Orleans [2008-2011]
2 GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC

This paper presents a new method to validate risk models: the Risk Map. This method jointly accounts for the number and the magnitude of extreme losses and graphically summarizes all information about the performance of a risk model. It relies on the concept of a super exception, which is de.ned as a situation in which the loss exceeds both the standard Value-at-Risk (VaR) and a VaR de.ned at an extremely low coverage probability. We then formally test whether the sequences of exceptions and super exceptions are rejected by standard model validation tests. We show that the Risk Map can be used to validate market, credit, operational, or systemic risk estimates (VaR, stressed VaR, expected shortfall, and CoVaR) or to assess the performance of the margin system of a clearing house.

Mots clés: Financial Risk Management; Tail Risk; Basel III

Domaines: Economies et finances

Gilbert Colletaz, Christophe Hurlin, Christophe Pérignon. The Risk Map: A New Tool for Validating Risk Models. 2012. ⟨halshs-00746273⟩