On the Parameterization of the CreditRisk+ Model for Estimating Credit Portfolio Risk
by Antoine Vandendorpe of Fortis,
August 9, 2007
Abstract: The Credit Risk+ model is one of the industry standards for estimating the credit default risk for a portfolio of credit loans. The natural parameterization of this model requires the default probability to be apportioned using a number of (non-negative) factor loadings. However, in practice only default correlations are often available but not the factor loadings. In this paper we investigate how to deduce the factor loadings from a given set of default correlations. This is a novel approach and it requires the non-negative factorization of a positive semi-definite matrix, which is by no means trivial. We also present a numerical optimization algorithm to achieve this.
Published in: Insurance: Mathematics and Economics, Vol. 42, No. 2, (April 2008), pp. 736-745.