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Concentration Effect in a Credit Risky Portfolio

並列摘要


An important issue in Basel Ⅱ is the calculation of portfolio credit risk. The motivation of this study is that, in Basel Ⅱ, there is a formula used to calculate the required regulatory capital for a bank's loan portfolio without considering possible concentration problem. The concentration of exposures in a credit portfolio can arise either because of its small size or because of large exposures to specific individual obligors. Emmer and Tasche (2005) proposed an analytical approximation method to calculate the required capital to cover the potential concentration effect. In this paper, we derive the exact distribution and credit Value-at-Risk (VaR) of the portfolio loss under one-factor model with some specified situations which stand for different degrees of concentration. To evaluate the performances for different risk models, we compare the estimated VaRs obtained from Emmer and Tasche (2005) and Basel Ⅱ regulatory capital rule to the exact VaR.

參考文獻


Basel II: International Convergence of Capital Measurement and Capital Standards: A Revised Framework
Bluhm, C.,Overbeck, L.,M.K. Ong (Edited.)(2004).The Basel Handbook: A Guide for Financial Practitioners.
Bluhm, C.,Overbeck, L.,Wagner, C.(2002).An Introduction to Credit Risk Modelling.New York:Chapman & Hall.
Emmer, S,Tasche, D.(2005).Calculating credit risk capital charges with the one-factor model.Journal of Risk.7(2),85-101.
Gordy, M.B.(2003).A risk-factor model foundation for ratings-based capital rules.Journal of Financial Intermediation.12(3),199-232.

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