Despite the manifold utilities of monitoring credit default rates, little attention is usually devoted to the underlying default definition. This paper proposes working simultaneously with different default severities, related to several past-due ranges, by means of transition matrices (to be...

In this paper, we use credibility theory to estimate credit transition matrices in a multivariate Markov chain model for credit rating. A transition matrix is estimated by a linear combination of the prior estimate of the transition matrix and the empirical transition matrix. These estimates can...