Technical Report // Sonderforschungsbereich 475, Komplexitätsreduktion in Multivariaten Datenstrukturen, Universität Dortmund 2007,06
The risk of a credit portfolio depends crucially on correlations between latent covariates, for instance the probability of default (PD) in different economic sectors. Often, correlations have to be estimated from relatively short time series, and the resulting estimation error hinders the detection of a signal. We suggest a general method of parameter estimation which avoids in a controlled way the underestimation of correlation risk. Empirical evidence is presented how, in the framework of the CreditRisk+ model with integrated correlations, this method leads to an increased economic capital estimate. Thus, the limits of detecting the portfolio's diversification potential are adequately reflected.