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Calculating Concentration-Sensitive Capital Charges with Conditional Value-at-Risk

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Author Info
Dirk Tasche
Ursula Theiler
Abstract

By mid 2004, the Basel Committee on Banking Supervision (BCBS) is epected to launch its final recommendations on minimum capital requirements in the banking industry. Although there is the intention to arrive at capital charges which concur with economic intuition, the risk weight formulas proposed by the committee will lack an adequate treatment of concentration risks in credit portfolios. The question arises whether this problem can be solved without recourse to fully-fledged portfolio models. Since recent practical experience shows that the risk measure Conditional Value-at-Risk (CVaR) is particularly well suited for detecting concentrations, we develop the semi-asymptotic approach by Emmer and Tasche in the CVaR context and compare it with the capital charges recently suggested by the Basel Committee. Both approaches are based on the same Vasicek one-factor model.

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File URL: http://arxiv.org/abs/cond-mat/0309003
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Paper provided by arXiv.org in its series Quantitative Finance Papers with number cond-mat/0309003.

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Date of creation: Sep 2003
Date of revision: Feb 2004
Handle: RePEc:arx:papers:cond-mat/0309003

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  1. 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. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
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