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Treatment of Double Default Effects within the Granularity Adjustment for Basel II

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  • Ebert, Sebastian
  • Lütkebohmert, Eva

Abstract

Within the Internal Ratings-Based (IRB) approach of Basel II it is assumed that idiosyncratic risk has been fully diversi?ed away. The impact of undiversi?ed idiosyncratic risk on portfolio Value-at-Risk can be quanti?ed via a granularity adjustment (GA). We provide an analytic formula for the GA in an extended single- factor CreditRisk+ setting incorporating double default e?ects. It accounts for guarantees and their e?ect of reducing credit risk in the portfolio. Our general GA very well suits for application under Pillar 2 of Basel II as the data inputs are drawn from quantities already required for the calculation of IRB capital charges.

Suggested Citation

  • 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).
  • Handle: RePEc:zbw:bonedp:102009
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    References listed on IDEAS

    as
    1. Peter Grundke, 2008. "Regulatory treatment of the double default effect under the New Basel Accord: how conservative is it?," Review of Managerial Science, Springer, vol. 2(1), pages 37-59, March.
    2. Lütkebohmert, Eva & Gordy, Michael B., 2007. "Granularity adjustment for Basel II," Discussion Paper Series 2: Banking and Financial Studies 2007,01, Deutsche Bundesbank.
    3. Susanne Emmer & Dirk Tasche, 2003. "Calculating credit risk capital charges with the one-factor model," Papers cond-mat/0302402, arXiv.org, revised Jan 2005.
    4. Norah Barger & Erik Heitfield, 2003. "Treatment of double-default and double-recovery effects for hedged exposures under pillar I of the proposed New Basel Capital Accord," Basel II White Paper 2, Board of Governors of the Federal Reserve System (U.S.).
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    Cited by:

    1. 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).
    2. 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).

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    More about this item

    Keywords

    analytic approximation; Basel II; counterparty risk; double default; granularity adjustment; IRB approach; securitization;
    All these keywords.

    JEL classification:

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

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