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Bayesian inference for issuer heterogeneity in credit ratings migration

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  • Kadam, Ashay
  • Lenk, Peter

Abstract

Rating transition matrices for corporate bond issuers are often based on fitting a discrete time Markov chain model to homogeneous cohorts. Literature has documented that rating migration matrices can differ considerably depending on the characteristics of the issuers in the pool used for estimation. However, it is also well known in the literature that a continuous time Markov chain gives statistically superior estimates of the rating migration process. It remains to verify and quantify the issuer heterogeneity in rating migration behavior using a continuous time Markov chain. We fill this gap in the literature. We provide Bayesian estimates to mitigate the problem of data sparsity. Default data, especially when narrowing down to issuers with specific characteristics, can be highly sparse. Using classical estimation tools in such a situation can result in large estimation errors. Hence we adopt Bayesian estimation techniques. We apply them to the Moodys corporate bond default database. Our results indicate strong country and industry effects on the determination of rating migration behavior. Using the CreditRisk+ framework, and a sample credit portfolio, we show that ignoring issuer heterogeneity can give erroneous estimates of Value-at-Risk and a misleading picture of the risk capital. This insight is consistent with some recent findings in the literature. Therefore, given the upcoming Basel II implementation, understanding issuer heterogeneity has important policy implications.

Suggested Citation

  • Kadam, Ashay & Lenk, Peter, 2008. "Bayesian inference for issuer heterogeneity in credit ratings migration," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2267-2274, October.
  • Handle: RePEc:eee:jbfina:v:32:y:2008:i:10:p:2267-2274
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Voß, Sebastian & Weißbach, Rafael, 2014. "A score-test on measurement errors in rating transition times," Journal of Econometrics, Elsevier, vol. 180(1), pages 16-29.
    2. Leow, Mindy & Crook, Jonathan, 2014. "Intensity models and transition probabilities for credit card loan delinquencies," European Journal of Operational Research, Elsevier, vol. 236(2), pages 685-694.
    3. Alsakka, Rasha & ap Gwilym, Owain, 2010. "A random effects ordered probit model for rating migrations," Finance Research Letters, Elsevier, vol. 7(3), pages 140-147, September.
    4. Hill, Paula & Brooks, Robert & Faff, Robert, 2010. "Variations in sovereign credit quality assessments across rating agencies," Journal of Banking & Finance, Elsevier, vol. 34(6), pages 1327-1343, June.
    5. Rasha Alsakka & Owain ap Gwilym, 2010. "Sovereign Ratings and Migrations: Emerging Markets," Working Papers 10009, Bangor Business School, Prifysgol Bangor University (Cymru / Wales).
    6. May, Anthony D., 2010. "The impact of bond rating changes on corporate bond prices: New evidence from the over-the-counter market," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2822-2836, November.
    7. repec:exp:finnce:v:5:y:2017:i::p:49-72 is not listed on IDEAS
    8. Tsaig, Yaakov & Levy, Amnon & Wang, Yashan, 2011. "Analyzing the impact of credit migration in a portfolio setting," Journal of Banking & Finance, Elsevier, vol. 35(12), pages 3145-3157.
    9. William H. Greene & David A. Hensher, 2008. "Modeling Ordered Choices: A Primer and Recent Developments," Working Papers 08-26, New York University, Leonard N. Stern School of Business, Department of Economics.
    10. Al-Sakka, Rasha & ap Gwilym, Owain, 2009. "Heterogeneity of sovereign rating migrations in emerging countries," Emerging Markets Review, Elsevier, vol. 10(2), pages 151-165, June.
    11. Alsakka, Rasha & ap Gwilym, Owain, 2010. "Leads and lags in sovereign credit ratings," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2614-2626, November.
    12. Mariusz Górajski & Dobromił Serwa & Zuzanna Wośko, 2016. "Measuring expected time to default under stress conditions for corporate loans," NBP Working Papers 237, Narodowy Bank Polski, Economic Research Department.
    13. Dimitris Gavalas & Theodore Syriopoulos, 2014. "Bank Credit Risk Management and Rating Migration Analysis on the Business Cycle," International Journal of Financial Studies, MDPI, Open Access Journal, vol. 2(1), pages 1-22, March.

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