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Granularity adjustment for Basel II

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  • Lütkebohmert, Eva
  • Gordy, Michael B.

Abstract

The credit value-at-risk model underpinning the Basel II Internal Ratings-Based approach assumes that idiosyncratic risk has been diversified away fully in the portfolio, so that economic capital depends only on systematic risk contributions. We develop a simple methodology for approximating the effect of undiversified idiosyncratic risk on VaR. The supervisory review process (Pillar 2) of the new Basel framework offers a potential venue for application of the proposed granularity adjustment (GA). Our GA is a revision and extension of the methodology proposed in the Basel II Second Consultative Paper. The revision incorporates some technical advances as well as modifications to the Basel II rules since the Second Consultative Paper of 2001. Most importantly, we introduce an ?upper bound? methodology under which banks would be required to aggregate multiple exposures to the same underlying obligor only for a subset of their obligors. This addresses what appears to be the most significant operational burden associated with any rigorous assessment of residual idiosyncratic risk in the portfolio. For many banks, this approach would permit dramatic reductions in data requirements relative to the full GA.

Suggested Citation

  • Lütkebohmert, Eva & Gordy, Michael B., 2007. "Granularity adjustment for Basel II," Discussion Paper Series 2: Banking and Financial Studies 2007,01, Deutsche Bundesbank.
    • Handle: RePEc:zbw:bubdp2:5353
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    References listed on IDEAS

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    1. Hashem Pesaran & Davide Pettenuzzo & Allan Timmermann, 2007. "Learning, Structural Instability, and Present Value Calculations," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 253-288.
    2. Strotmann, Harald & Döpke, Jörg & Buch, Claudia M., 2006. "Does trade openness increase firm-level volatility?," Discussion Paper Series 1: Economic Studies 2006,40, Deutsche Bundesbank.
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    Cited by:

    1. Matteo Bissiri & Riccardo Cogo, 2017. "Behavioral Value Adjustments," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(08), pages 1-37, December.
    2. Klaus Duellmann & Martin Erdelmeier, 2009. "Crash Testing German Banks," International Journal of Central Banking, International Journal of Central Banking, vol. 5(3), pages 139-175, September.
    3. Mr. Christian Schmieder & Maher Hasan & Mr. Claus Puhr, 2011. "Next Generation Balance Sheet Stress Testing," IMF Working Papers 2011/083, International Monetary Fund.
    4. Silvio Tarca & Marek Rutkowski, 2014. "Assessing the Basel II Internal Ratings-Based Approach: Empirical Evidence from Australia," Papers 1412.0064, arXiv.org, revised Jul 2016.
    5. Christian Gourieroux & Wei Liu, 2009. "Control and Out‐of‐Sample Validation of Dependent Risks," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 683-707, September.
    6. Ebert, Sebastian & Lütkebohmert, Eva, 2009. "Treatment of Double Default Effects within the Granularity Adjustment for Basel II," Bonn Econ Discussion Papers 10/2009, University of Bonn, Bonn Graduate School of Economics (BGSE).
    7. Roberto Baviera, 2020. "The measure of model risk in credit capital requirements," Papers 2010.08028, arXiv.org.
    8. 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.
    9. Petr Jakubik & Christian Schmieder, 2008. "Stress Testing Credit Risk: Is the Czech Republic Different from Germany?," Working Papers 2008/9, Czech National Bank.
    10. Ebert, Sebastian & Lütkebohmert, Eva, 2009. "Improved Modeling of Double Default Effects in Basel II - An Endogenous Asset Drop Model without Additional Correlation," Bonn Econ Discussion Papers 24/2009, University of Bonn, Bonn Graduate School of Economics (BGSE).
    11. Baviera, Roberto, 2022. "The measure of model risk in credit capital requirements," Finance Research Letters, Elsevier, vol. 44(C).
    12. C. Gourieroux & A. Monfort, 2013. "Granularity Adjustment for Efficient Portfolios," Econometric Reviews, Taylor & Francis Journals, vol. 32(4), pages 449-468, December.
    13. Gürtler, Marc & Hibbeln, Martin & Vöhringer, Clemens, 2007. "Measuring concentration risk for regulatory purposes," Working Papers IF26V4, Technische Universität Braunschweig, Institute of Finance.
    14. Chris Humphrey, 2017. "He who pays the piper calls the tune: Credit rating agencies and multilateral development banks," The Review of International Organizations, Springer, vol. 12(2), pages 281-306, June.
    15. Yong Kim, 2013. "Modeling of commercial real estate credit risks," Quantitative Finance, Taylor & Francis Journals, vol. 13(12), pages 1977-1989, December.
    16. Sanjiv Das, 2007. "Basel II: Correlation Related Issues," Journal of Financial Services Research, Springer;Western Finance Association, vol. 32(1), pages 17-38, October.
    17. Tarashev, Nikola, 2010. "Measuring portfolio credit risk correctly: Why parameter uncertainty matters," Journal of Banking & Finance, Elsevier, vol. 34(9), pages 2065-2076, September.
    18. Lütkebohmert, Eva, 2009. "Failure of saddle-point method in the presence of double defaults," Bonn Econ Discussion Papers 19/2009, University of Bonn, Bonn Graduate School of Economics (BGSE).
    19. Nikola Tarashev & Haibin Zhu, 2008. "Specification and Calibration Errors in Measures of Portfolio Credit Risk: The Case of the ASRF Model," International Journal of Central Banking, International Journal of Central Banking, vol. 4(2), pages 129-173, June.
    20. Mager, Ferdinand & Schmieder, Christian, 2008. "Stress testing of real credit portfolios," Discussion Paper Series 2: Banking and Financial Studies 2008,17, Deutsche Bundesbank.
    21. Nikola A. Tarashev & Haibin Zhu, 2007. "Modelling and calibration errors in measures of portfolio credit risk," BIS Working Papers 230, Bank for International Settlements.

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    More about this item

    Keywords

    Basel II; granularity adjustment; value-at-risk; idiosyncratic risk;
    All these keywords.

    JEL classification:

    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies

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