A Markov approach to credit rating migration conditional on economic states

Michael Kalkbrener & Natalie Packham

Canadian Journal of Statistics2026https://doi.org/10.1002/cjs.70039article
ABDC A
Weight
0.37

Abstract

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.

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https://doi.org/https://doi.org/10.1002/cjs.70039

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@article{michael2026,
  title        = {{A Markov approach to credit rating migration conditional on economic states}},
  author       = {Michael Kalkbrener & Natalie Packham},
  journal      = {Canadian Journal of Statistics},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1002/cjs.70039},
}

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Evidence weight

0.37

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.16 × 0.4 = 0.06
M · momentum0.53 × 0.15 = 0.08
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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