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The single risk factor approach to capital charges in case of correlated loss given default rates

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  • Dirk Tasche

Abstract

A new methodology for incorporating LGD correlation effects into the Basel II risk weight functions is introduced. This methodology is based on modelling of LGD and default event with a single loss variable. The resulting formulas for capital charges are numerically compared to the current proposals by the Basel Committee on Banking Supervision. Keywords: Regulatory capital charge, loss given default (LGD).

Suggested Citation

  • Dirk Tasche, 2004. "The single risk factor approach to capital charges in case of correlated loss given default rates," Papers cond-mat/0402390, arXiv.org, revised Feb 2004.
    • Handle: RePEc:arx:papers:cond-mat/0402390
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    1. 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.
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    Cited by:

    1. Daniel Rosch & Harald Scheule, 2009. "The Empirical Relation between Credit Quality, Recovery, and Correlation," Working Papers 222009, Hong Kong Institute for Monetary Research.
    2. 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.
    3. Li, Hui, 2010. "Downturn LGD: A Spot Recovery Approach," MPRA Paper 71986, University Library of Munich, Germany, revised 30 Apr 2013.
    4. Barbagli, Matteo & Vrins, Frédéric, 2023. "Accounting for PD-LGD dependency: A tractable extension to the Basel ASRF framework," Economic Modelling, Elsevier, vol. 125(C).
    5. Richard J Martin, 2011. "A CDS Option Miscellany," Papers 1201.0111, arXiv.org, revised May 2019.
    6. Janette Larney & Gerrit Lodewicus Grobler & James Samuel Allison, 2022. "Introducing Two Parsimonious Standard Power Mixture Models for Bimodal Proportional Data with Application to Loss Given Default," Mathematics, MDPI, vol. 10(23), pages 1-19, November.
    7. Xiao, Tim, 2018. "Incremental Risk Charge Methodology," SocArXiv y43dx, Center for Open Science.
    8. Gürtler, Marc & Heithecker, Dirk, 2005. "Systematic credit cycle risk of financial collaterals: Modelling and evidence," Working Papers FW15V2, Technische Universität Braunschweig, Institute of Finance.
    9. António Santos, 2020. "The relation between PD and LGD: an application to a corporate loan portfolio," Economic Bulletin and Financial Stability Report Articles and Banco de Portugal Economic Studies, Banco de Portugal, Economics and Research Department.
    10. Annalisa Di Clemente, 2013. "Considering the dependence between the credit loss severity and the probability of default in the estimate of portfolio credit risk: an experimental analysis," STUDI ECONOMICI, FrancoAngeli Editore, vol. 2013(109), pages 5-24.
    11. Daniel Rösch & Harald Scheule, 2009. "Credit Portfolio Loss Forecasts for Economic Downturns," Financial Markets, Institutions & Instruments, John Wiley & Sons, vol. 18(1), pages 1-26, February.
    12. Thomas Hartmann-Wendels & Christopher Paulus Imanto, 2023. "Is the regulatory downturn LGD adequate? Performance analysis and alternative methods," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 74(3), pages 736-747, March.
    13. Aneta Ptak-Chmielewska & Paweł Kopciuszewski, 2024. "Credit loss modelling using beta distribution in a Bayesian approach," Bank i Kredyt, Narodowy Bank Polski, vol. 55(3), pages 313-332.
    14. Franco Varetto, 2017. "La correlazione tra PD ed LGD nell’analisi del rischio di credito/The correlation between probability of default and loss given default in the credit risk analysis," IRCrES Working Paper 201714, CNR-IRCrES Research Institute on Sustainable Economic Growth - Moncalieri (TO) ITALY - former Institute for Economic Research on Firms and Growth - Torino (TO) ITALY.
    15. António Santos, . "The relation between PD and LGD: an application to a corporate loan portfolio," Economic Bulletin and Financial Stability Report Articles and Banco de Portugal Economic Studies, Banco de Portugal, Economics and Research Department.
    16. Daniel Rosch & Harald Scheule, 2008. "Credit Losses in Economic Downturns - Empirical Evidence for Hong Kong Mortgage Loans," Working Papers 152008, Hong Kong Institute for Monetary Research.
    17. Jiri Witzany, 2013. "Estimating Default and Recovery Rate Correlations," Working Papers IES 2013/03, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Apr 2013.
    18. Kim, Joocheol & Kim, KiHyung, 2006. "Loss Given Default Modelling under the Asymptotic Single Risk Factor Assumption," MPRA Paper 860, University Library of Munich, Germany.
    19. Aneta Ptak-Chmielewska & Paweł Kopciuszewski, 2023. "Application of the Bayesian approach in loss given default modelling," Bank i Kredyt, Narodowy Bank Polski, vol. 54(6), pages 625-650.
    20. Li, Hui, 2010. "Downturn LGD: A Spot Recovery Approach," MPRA Paper 20010, University Library of Munich, Germany.
    21. Greg M. Gupton, 2005. "Advancing Loss Given Default Prediction Models: How the Quiet Have Quickened," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 34(2), pages 185-230, July.
    22. Weißbach, Rafael & von Lieres und Wilkau, Carsten, 2006. "On partial defaults in portfolio credit risk: Comparing economic and regulatory view," Technical Reports 2006,02, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    23. Wei, Li & Yuan, Zhongyi, 2016. "The loss given default of a low-default portfolio with weak contagion," Insurance: Mathematics and Economics, Elsevier, vol. 66(C), pages 113-123.
    24. Rafael Weißbach & Carsten Lieres und Wilkau, 2010. "Economic capital for nonperforming loans," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 24(1), pages 67-85, March.
    25. repec:czx:journl:v:21:y:2014:i:33:id:210 is not listed on IDEAS

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