A Markov approach to credit rating migration conditional on economic states
Michael Kalkbrener & Natalie Packham
What the paper says
We develop a model for credit rating migration that accounts for the impact of economic state fluctuations on default probabilities. The joint process for the economic state and the rating is modelled as a time‐homogeneous Markov chain. While the rating process itself possesses the Markov property only under restrictive conditions, methods from Markov theory can be used to derive the rating process's asymptotic behaviour. We use the mathematical framework to formalize and analyze different rating philosophies, such as point‐in‐time (PIT) and through‐the‐cycle (TTC) ratings. Furthermore, we introduce stochastic orders on the bivariate process's transition matrix to establish a consistent notion of “better” and “worse” ratings. Finally, the construction of PIT and TTC ratings is illustrated on a Merton‐type firm‐value process.
1 citation
Evidence weight
Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40
| F · citation impact | 0.16 × 0.4 = 0.06 |
| M · momentum | 0.53 × 0.15 = 0.08 |
| V · venue signal | 0.50 × 0.05 = 0.03 |
| R · text relevance † | 0.50 × 0.4 = 0.20 |
† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.