Testing time-homogeneity of rating transitions after origination of debt

Author: Weißbach Rafael  

Publisher: Springer Publishing Company

ISSN: 0377-7332

Source: Empirical Economics, Vol.36, Iss.3, 2009-06, pp. : 575-596

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Abstract

When modelling rating transitions as continuous-time Markov processes, in practice, time-homogeneity is a common assumption, yet restrictive, in order to reduce the complexity of the model. This paper investigates whether rating transition probabilities change after the origination of debt. Accordingly, we develop a likelihood-ratio test for the hypothesis of time-homogeneity. The alternative is a step function of transition intensities. The test rejects time-homogeneity for rating transitions observed over 7 years in a real corporate portfolio. Especially 1-year transition probabilities increase over the first year after origination. This time effect suggests that banks should manage their credit portfolios with respect to the age of debt.