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Granularity Adjustment for Regulatory Capital Assessment

Author

Listed:
  • M. B. Gordy

    (Federal Reserve Board)

  • E. Lutkebohmert

    (University of Freiburg)

Abstract

The credit value-at-risk model underpinning the internal ratings-based approach of Basel II and III assumes that idiosyncratic risk has been fully diversified in the portfolio, so that economic capital depends only on systematic risk contributions. We propose a simple granularity adjustment (GA) for approximating the effect of undiversified idiosyncratic risk on required capital. To mitigate operational burden in implementation, we derive upper and lower bounds on the GA under incomplete information on the portfolio. We assess the magnitude and accuracy of the proposed GA on a set of bank portfolios drawn from the German credit register.

Suggested Citation

  • M. B. Gordy & E. Lutkebohmert, 2013. "Granularity Adjustment for Regulatory Capital Assessment," International Journal of Central Banking, International Journal of Central Banking, vol. 9(3), pages 38-77, September.
    • Handle: RePEc:ijc:ijcjou:y:2013:q:3:a:2
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    1. Gourieroux, C. & Laurent, J. P. & Scaillet, O., 2000. "Sensitivity analysis of Values at Risk," Journal of Empirical Finance, Elsevier, vol. 7(3-4), pages 225-245, November.
    2. Christian Schmieder, 2006. "European Data Watch: The Deutsche Bundesbank’s large credit database (BAKIS-M and MiMiK)," Schmollers Jahrbuch : Journal of Applied Social Science Studies / Zeitschrift für Wirtschafts- und Sozialwissenschaften, Duncker & Humblot, Berlin, vol. 126(4), pages 653-663.
    3. Acharya, Viral V. & Bharath, Sreedhar T. & Srinivasan, Anand, 2007. "Does industry-wide distress affect defaulted firms? Evidence from creditor recoveries," Journal of Financial Economics, Elsevier, vol. 85(3), pages 787-821, September.
    4. Patrick Gagliardini & Christian Gouriéroux, 2011. "Approximate Derivative Pricing for Large Classes of Homogeneous Assets with Systematic Risk," Journal of Financial Econometrics, Oxford University Press, vol. 9(2), pages 237-280, Spring.
    5. Marc Gürtler & Dirk Heithecker & Martin Hibbeln, 2008. "Concentration Risk under Pillar 2: When are Credit Portfolios Infinitely Fine Grained?," Credit and Capital Markets, Credit and Capital Markets, vol. 41(1), pages 79-124.
    6. Mikhail Voropaev, 2009. "Analytical Framework for Credit Portfolios. Part I: Systematic Risk," Papers 0911.0223, arXiv.org, revised Jul 2011.
    7. Gordy, Michael B. & Marrone, James, 2012. "Granularity adjustment for mark-to-market credit risk models," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 1896-1910.
    8. 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.
    9. Wolfgang Gerke & Ferdinand Mager & Timo Reinschmidt & Christian Schmieder, 2008. "Empirical Risk Analysis of Pension Insurance: The Case of Germany," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(3), pages 763-784, September.
    10. Gordy, Michael B., 2000. "A comparative anatomy of credit risk models," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 119-149, January.
    11. Nikola Tarashev & Claudio Borio & Kostas Tsatsaronis, 2010. "Attributing systemic risk to individual institutions," BIS Working Papers 308, Bank for International Settlements.
    12. Edward I. Altman & Brooks Brady & Andrea Resti & Andrea Sironi, 2005. "The Link between Default and Recovery Rates: Theory, Empirical Evidence, and Implications," The Journal of Business, University of Chicago Press, vol. 78(6), pages 2203-2228, November.
    13. Susanne Emmer & Dirk Tasche, 2003. "Calculating credit risk capital charges with the one-factor model," Papers cond-mat/0302402, arXiv.org, revised Jan 2005.
    14. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
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    Cited by:

    1. Justin Sirignano & Kay Giesecke, 2019. "Risk Analysis for Large Pools of Loans," Management Science, INFORMS, vol. 65(1), pages 107-121, January.
    2. Caccioli, Fabio & Shrestha, Munik & Moore, Cristopher & Farmer, J. Doyne, 2014. "Stability analysis of financial contagion due to overlapping portfolios," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 233-245.
    3. Rainer Masera, 2014. "CRR/CRD IV: the trees and the forest," PSL Quarterly Review, Economia civile, vol. 67(271), pages 381-422.
    4. Jan Nokkala, 2022. "Are large credit exposures a source of concentration risk?," Bank i Kredyt, Narodowy Bank Polski, vol. 53(4), pages 375-398.
    5. Pierpaolo Grippa & Lucyna Gornicka, 2016. "Measuring Concentration Risk - A Partial Portfolio Approach," IMF Working Papers 2016/158, International Monetary Fund.
    6. Jens Fittje, 2023. "Risk-shifting, concentration risk, and heterogeneous borrowers," International Economics and Economic Policy, Springer, vol. 20(4), pages 509-536, October.
    7. Álvaro Chamizo & Alexandre Fonollosa & Alfonso Novales, 2019. "Forward-looking asset correlations in the estimation of economic capital," Documentos de Trabajo del ICAE 2019-25, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    8. Chamizo, Álvaro & Fonollosa, Alexandre & Novales, Alfonso, 2019. "Forward-looking asset correlations in the estimation of economic capital," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 61(C), pages 264-288.
    9. Regele, Fabian & Gründl, Helmut, 2021. "Asset concentration risk and insurance solvency regulation," ICIR Working Paper Series 40/21, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    10. 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.
    11. Annalisa Di Clemente, 2020. "Modeling Portfolio Credit Risk Taking into Account the Default Correlations Using a Copula Approach: Implementation to an Italian Loan Portfolio," JRFM, MDPI, vol. 13(6), pages 1-24, June.
    12. Henry Penikas, 2023. "Default correlation impact on the loan portfolio credit risk measurement for the "green" finance as an example," Bank of Russia Working Paper Series wps121, Bank of Russia.
    13. Neumann, Tobias, 2018. "Mortgages: estimating default correlation and forecasting default risk," Bank of England working papers 708, Bank of England.

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    More about this item

    JEL classification:

    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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