Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/45360 
Authors: 
Year of Publication: 
2010
Series/Report no.: 
Discussion Papers in Statistics and Econometrics No. 2/10
Publisher: 
University of Cologne, Seminar of Economic and Social Statistics, Cologne
Abstract: 
Credit ratings are ordinal predictions for the default risk of an obligor. To evaluate the accuracy of such predictions commonly used measures are the Accuracy Ratio or, equivalently, the Area under the ROC curve. The disadvantage of these measures is that they treat default as a binary variable thereby neglecting the timing of the default events and also not using the full information from censored observations. We present an alternative measure that is related to the Accuracy Ratio but does not suffer from these drawbacks. As a second contribution, we study statistical inference for the Accuracy Ratio and the proposed measure in the case of multiple cohorts of obligors with overlapping lifetimes. We derive methods that use more sample information and lead to more powerful tests than alternatives that filter just the independent part of the dataset. All procedures are illustrated in the empirical section using a dataset of S&P Long Term Credit Ratings.
Subjects: 
ratings
predictive accuracy
Accuracy Ratio
Harrell's C
overlapping lifetimes
JEL: 
C41
C52
G17
G24
G32
Document Type: 
Working Paper

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