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The Ordered Qualitative Model For Credit Rating Transitions

Author

Listed:
  • Joan Jasiak

    () (Department of Economics, York University)

  • D. Feng

    (CIBC, Toronto, Canada)

  • C. Gourieroux

    (CEPREMAP, CREST and University of Toronto)

Abstract

Information on the expected changes in credit quality of obligors is contained in credit migration matrices which trace out the movements of firms across ratings categories in a given period of time and in a given group of bond issuers. The rating matrices provided by Moody’s, Standard &Poor’s and Fitch became crucial inputs to many applications, including the assessment of risk on corporate credit portfolios (CreditVar) and credit derivatives pricing. We propose a factor probit model for modeling and prediction of credit rating matrices that are assumed to be stochastic and driven by a latent factor. The filtered latent factor path reveals the effect of the economic cycle on corporate credit ratings, and provides evidence in support of the PIT (point-in-time) rating philosophy. The factor probit model also yields the estimates of cross-sectional correlations in rating transitions that are documented empirically but not fully accounted for in the literature and in the regulatory rules established by the Basle Committee.

Suggested Citation

  • Joan Jasiak & D. Feng & C. Gourieroux, 2006. "The Ordered Qualitative Model For Credit Rating Transitions," Working Papers 2006_2, York University, Department of Economics.
  • Handle: RePEc:yca:wpaper:2006_2
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    File URL: http://dept.econ.yorku.ca/research/workingPapers/working_papers/2006/JEF06.pdf
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    References listed on IDEAS

    as
    1. Crouhy, Michel & Galai, Dan & Mark, Robert, 2001. "Prototype risk rating system," Journal of Banking & Finance, Elsevier, vol. 25(1), pages 47-95, January.
    2. Nickell, Pamela & Perraudin, William & Varotto, Simone, 2000. "Stability of rating transitions," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 203-227, January.
    3. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    4. Loffler, Gunter, 2004. "An anatomy of rating through the cycle," Journal of Banking & Finance, Elsevier, vol. 28(3), pages 695-720, March.
    5. Carey, Mark & Hrycay, Mark, 2001. "Parameterizing credit risk models with rating data," Journal of Banking & Finance, Elsevier, vol. 25(1), pages 197-270, January.
    6. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    7. Gordy, Michael B., 2003. "A risk-factor model foundation for ratings-based bank capital rules," Journal of Financial Intermediation, Elsevier, vol. 12(3), pages 199-232, July.
    8. Bangia, Anil & Diebold, Francis X. & Kronimus, Andre & Schagen, Christian & Schuermann, Til, 2002. "Ratings migration and the business cycle, with application to credit portfolio stress testing," Journal of Banking & Finance, Elsevier, vol. 26(2-3), pages 445-474, March.
    9. Gordy, Michael B., 2000. "A comparative anatomy of credit risk models," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 119-149, January.
    10. Rosch, Daniel, 2005. "An empirical comparison of default risk forecasts from alternative credit rating philosophies," International Journal of Forecasting, Elsevier, vol. 21(1), pages 37-51.
    11. Treacy, William F. & Carey, Mark, 2000. "Credit risk rating systems at large US banks," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 167-201, January.
    12. Stella Cheung, 1996. "Provincial Credit Rating in Canada: An Ordered Probit Analysis," Staff Working Papers 96-6, Bank of Canada.
    13. Albanese, Claudio & Chen, Oliver X., 2006. "Implied migration rates from credit barrier models," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 607-626, February.
    14. Rösch, Daniel, 2003. "Correlations and Business Cycles of Credit Risk: Evidence from Bankruptcies in Germany," University of Regensburg Working Papers in Business, Economics and Management Information Systems 380, University of Regensburg, Department of Economics.
    15. Lando, David & Skodeberg, Torben M., 2002. "Analyzing rating transitions and rating drift with continuous observations," Journal of Banking & Finance, Elsevier, vol. 26(2-3), pages 423-444, March.
    16. Christian Gourieroux & Joann Jasiak, 2015. "The Econometrics of Individual Risk: Credit, Insurance, and Marketing," Economics Books, Princeton University Press, edition 1, number 8433.
    17. Gagliardini, P. & Gourieroux, C., 2005. "Migration correlation: Definition and efficient estimation," Journal of Banking & Finance, Elsevier, vol. 29(4), pages 865-894, April.
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    More about this item

    Keywords

    Credit Rating; Migration; Migration Correlation; Credit Risk; Probit Model; Latent Factor; Business Cycle.;

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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