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Specification and Calibration Errors in Measures of Portfolio Credit Risk: The Case of the ASRF Model

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  • Nikola Tarashev

    (Monetary and Economic Department, Bank for International Settlements)

  • Haibin Zhu

    (Monetary and Economic Department, Bank for International Settlements)

Abstract

This paper focuses on the asymptotic single-risk-factor (ASRF) model in order to analyze the impact of specification and calibration errors on popular measures of portfolio credit risk. Violations of key assumptions of this model are found to be virtually inconsequential, especially for large, welldiversified portfolios. By contrast, flaws in the calibrated interdependence of credit risk across exposures, caused by plausible small-sample estimation errors or rule-of-thumb values of asset return correlations, can lead to significant inaccuracies in measures of portfolio credit risk. Similar inaccuracies arise under standard assumptions regarding the tails of the distribution of asset returns.

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Bibliographic Info

Article provided by International Journal of Central Banking in its journal International Journal of Central Banking.

Volume (Year): 4 (2008)
Issue (Month): 2 (June)
Pages: 129-173

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Handle: RePEc:ijc:ijcjou:y:2008:q:2:a:4

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  1. Jose A. Lopez, 2002. "The empirical relationship between average asset correlation, firm probability of default and asset size," Working Paper Series 2002-05, Federal Reserve Bank of San Francisco.
  2. Michael B. Gordy, 1998. "A comparative anatomy of credit risk models," Finance and Economics Discussion Series 1998-47, Board of Governors of the Federal Reserve System (U.S.).
  3. Loffler, Gunter, 2003. "The effects of estimation error on measures of portfolio credit risk," Journal of Banking & Finance, Elsevier, vol. 27(8), pages 1427-1453, August.
  4. Susanne Emmer & Dirk Tasche, 2003. "Calculating credit risk capital charges with the one-factor model," Papers cond-mat/0302402, arXiv.org, revised Jan 2005.
  5. Masschelein, Nancy & Düllmann, Klaus, 2006. "Sector concentration in loan portfolios and economic capital," Discussion Paper Series 2: Banking and Financial Studies 2006,09, Deutsche Bundesbank, Research Centre.
  6. Lütkebohmert, Eva & Gordy, Michael B., 2007. "Granularity adjustment for Basel II," Discussion Paper Series 2: Banking and Financial Studies 2007,01, Deutsche Bundesbank, Research Centre.
  7. Samuel Hanson & M. Hashem Pesaran & Til Schuermann, 2005. "Firm Heterogeneity and Credit Risk Diversification," CESifo Working Paper Series 1531, CESifo Group Munich.
  8. 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 449-70, May.
  9. Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2004. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit-Default Swap Market," NBER Working Papers 10418, National Bureau of Economic Research, Inc.
  10. Michael S. Gibson, 2004. "Understanding the risk of synthetic CDOs," Finance and Economics Discussion Series 2004-36, Board of Governors of the Federal Reserve System (U.S.).
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Cited by:
  1. Xin Huang & Hao Zhou & Haibin Zhu, 2009. "A Framework for Assessing the Systemic Risk of Major Financial Institutions," BIS Working Papers 281, Bank for International Settlements.
  2. Huang, Xin & Zhou, Hao & Zhu, Haibin, 2012. "Assessing the systemic risk of a heterogeneous portfolio of banks during the recent financial crisis," Journal of Financial Stability, Elsevier, vol. 8(3), pages 193-205.
  3. Nikola Tarashev, 2009. "Measuring portfolio credit risk correctly: why parameter uncertainty matters," BIS Working Papers 280, Bank for International Settlements.
  4. Gourieroux, C. & Jasiak, J., 2012. "Granularity adjustment for default risk factor model with cohorts," Journal of Banking & Finance, Elsevier, vol. 36(5), pages 1464-1477.
  5. Drehmann, Mathias & Tarashev, Nikola, 2013. "Measuring the systemic importance of interconnected banks," Journal of Financial Intermediation, Elsevier, vol. 22(4), pages 586-607.
  6. Dimitrios Bisias & Mark Flood & Andrew W. Lo & Stavros Valavanis, 2012. "A Survey of Systemic Risk Analytics," Annual Review of Financial Economics, Annual Reviews, vol. 4(1), pages 255-296, October.

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