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Applying Intra-Horizon Risk in Measuring Banks¡¯ Credit Risk Capital Requirements

  • Çѱ¹À繫ÇÐȸ
In Basel II, the IRB formula was developed from the Asymptotic Single Risk Factor (ASRF) credit risk model proposed by Vasicek (1987). Based on the same model settings but taking early bankruptcies into consideration, we incorporated the ¡°intra-horizon risk¡± model proposed in Kritzman and Rich (2002) to help measure the worst-case conditional probabilities of default (WCPDs) for credit portfolios and then compared our results with the IRB formula. The comparisons showed that our models could provide an explicit formula yielding similar capital requirements to the IRB formula. Besides, for the corporate exposures, we suggested an approximate 11.2% of capital buffers above the minimum capital requirements and estimated the confidence intervals of WCPDs to help ensure the robustness of the minimum capital requirements. Finally, we concluded that playing a critical role in capital charge, the estimation and/or prediction of PD should take into account the long-run evolving path of the systematic risk factors.


In Basel II, the IRB formula was developed from the Asymptotic Single Risk Factor (ASRF) credit risk model proposed by Vasicek (1987). Based on the same model settings but taking early bankruptcies into consideration, we incorporated the ¡°intra-horizon risk¡± model proposed in Kritzman and Rich (2002) to help measure the worst-case conditional probabilities of default (WCPDs) for credit portfolios and then compared our results with the IRB formula. The comparisons showed that our models could provide an explicit formula yielding similar capital requirements to the IRB formula. Besides, for the corporate exposures, we suggested an approximate 11.2% of capital buffers above the minimum capital requirements and estimated the confidence intervals of WCPDs to help ensure the robustness of the minimum capital requirements. Finally, we concluded that playing a critical role in capital charge, the estimation and/or prediction of PD should take into account the long-run evolving path of the systematic risk factors.
Intra-Horizon Risk,Basel II,Probability of Default,IRB Formula,ASRF model.