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Measurement and Estimation of Credit Migration Matrices

Author

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  • Til Schuermann
  • Yusuf Jafry

Abstract

Credit migration matrices are cardinal inputs to many risk management applications. Their accurate estimation is therefore critical. We explore three approaches, cohort and two variants of duration—time homogeneous and non-homogeneous—and the resulting differences, both statistically through matrix norms and economically through credit portfolio and credit derivative models. We develop a testing procedure to assess statistically the differences between migration matrices using bootstrap techniques. The method can have substantial economic import: economic credit risk capital differences between economic regimes, recession vs. expansion, can be as large as difference implied by different estimation techniques. Ignoring the efficiency gain inherent in the duration methods by using the cohort method instead is more damaging that making a (possibly false) assumption of time-homogeneity.

Suggested Citation

  • Til Schuermann & Yusuf Jafry, 2003. "Measurement and Estimation of Credit Migration Matrices," Center for Financial Institutions Working Papers 03-08, Wharton School Center for Financial Institutions, University of Pennsylvania.
  • Handle: RePEc:wop:pennin:03-08
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    File URL: http://fic.wharton.upenn.edu/fic/papers/03/0308.pdf
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    References listed on IDEAS

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    1. Doron Kliger & Oded Sarig, 2000. "The Information Value of Bond Ratings," Journal of Finance, American Finance Association, vol. 55(6), pages 2879-2902, December.
    2. Yusuf Jafry & Til Schuermann, 2003. "Metrics for Comparing Credit Migration Matrices," Center for Financial Institutions Working Papers 03-09, Wharton School Center for Financial Institutions, University of Pennsylvania.
    3. Nickell, Pamela & Perraudin, William & Varotto, Simone, 2000. "Stability of rating transitions," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 203-227, January.
    4. Robert A. Jarrow & David Lando & Stuart M. Turnbull, 2008. "A Markov Model for the Term Structure of Credit Risk Spreads," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 18, pages 411-453 World Scientific Publishing Co. Pte. Ltd..
    5. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409 World Scientific Publishing Co. Pte. Ltd..
    6. Altman, Edward I., 1998. "The importance and subtlety of credit rating migration," Journal of Banking & Finance, Elsevier, vol. 22(10-11), pages 1231-1247, October.
    7. 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.
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    Cited by:

    1. Pesaran, M. Hashem & Schuermann, Til & Treutler, Bjorn-Jakob & Weiner, Scott M., 2006. "Macroeconomic Dynamics and Credit Risk: A Global Perspective," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(5), pages 1211-1261, August.
    2. Phillips, Jill & Katchova, Ani L., 2004. "Credit Score Migration Analysis Of Farm Businesses: Conditioning On Business Cycles And Migration Trends," 2004 Annual meeting, August 1-4, Denver, CO 20136, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    3. Gonzalez, F. & Haas, F. & Johannes, R. & Persson, M. & Toledo, L. & Violi, R. & Zins, C. & Wieland, M., 2004. "Market dynamics associated with credit ratings: a literature review," Financial Stability Review, Banque de France, issue 4, pages 53-76, June.
    4. Yusuf Jafry & Til Schuermann, 2003. "Metrics for Comparing Credit Migration Matrices," Center for Financial Institutions Working Papers 03-09, Wharton School Center for Financial Institutions, University of Pennsylvania.
    5. Arnaud_de_Servigny & Norbert_Jobst, 2005. "An Empirical Analysis of Equity Default Swaps (I): Univariate Insights," International Finance 0503007, EconWPA.
    6. Li, Xiaofei & Escalante, Cesar L. & Dodson, Charles B., 2015. "A Credit Migration Analysis of the Financial Vitality of Female and Racial Minority Borrowers of the Farm Service Agency under Recessionary Conditions," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205038, Agricultural and Applied Economics Association;Western Agricultural Economics Association.
    7. Maximilian Hall & Dadang Muljawan & Lolita Moorena, 2009. "Using the artificial neural network to assess bank credit risk: a case study of Indonesia," Applied Financial Economics, Taylor & Francis Journals, vol. 19(22), pages 1825-1846.
    8. Featherstone, Allen M. & Langemeier, Michael R. & Haverkamp, Kent, 2006. "Credit Quality of Kansas Farms," 2006 Annual Meeting, February 5-8, 2006, Orlando, Florida 35309, Southern Agricultural Economics Association.
    9. Narcisa Kadlcakova & Joerg Keplinger, 2004. "Credit Risk and Bank Lending in the Czech Republic," Working Papers 2004/06, Czech National Bank, Research Department.

    More about this item

    Keywords

    Credit risk; risk management; matrix norms; bootstrapping; credit derivatives;

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation

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