Journal of Risk

Risk.net

Evaluation of credit portfolio models: test statistics for density-based tests

Kilian Plank, Roland Walter

ASBTRACT

Credit portfolio model validation is an important area of research that remains neglected. Given that credit defaults are typically rare events, density-based tests as suggested by Berkowitz seem to be the best choice in terms of statistical power. Although there are several alternatives, the most commonly chosen test statistic is the likelihood ratio. In this paper we compare its power characteristics with those of three other test statistics.We find that their small-sample characteristics differ remarkably and that the likelihood ratio statistic is not necessarily the best choice. Our results show that the Lagrange multiplier statistic gives more conservative assessments of credit risk, while theWald statistic tends to underestimate the risks.

Sorry, our subscription options are not loading right now

Please try again later. Get in touch with our customer services team if this issue persists.

New to Risk.net? View our subscription options

If you already have an account, please sign in here.

You need to sign in to use this feature. If you don’t have a Risk.net account, please register for a trial.

Sign in
You are currently on corporate access.

To use this feature you will need an individual account. If you have one already please sign in.

Sign in.

Alternatively you can request an individual account here: