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Economic and regulatory capital allocation for revolving retail exposures

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  • William I. Nayda
  • Roberto Perli

Abstract

The latest revision of the Internal Ratings Based approach of the Basel Committee on Banking Supervision's New Capital Accord Proposal for retail portfolios contains a significant innovation relative to previous versions: the recognition that, for revolving credits, future margin income will be available to cover losses before a bank's capital is threatened. We assemble a mini-portfolio of revolving exposures and we compare the capital charges generated by the latest Basel's formula with the capital charges generated by two possible earnings-at-risk internal capital allocation models. We find that in general, Basel's capital ratios are closer to those generated by our models for the groups with lower credit risk. We attribute the discrepancies to the different ways Basel and our models account for future margin income, to Basel assumptions about asset correlations, and to one our models taking macroeconomic conditions explicitly into account.

Suggested Citation

  • William I. Nayda & Roberto Perli, 2003. "Economic and regulatory capital allocation for revolving retail exposures," Finance and Economics Discussion Series 2003-39, Board of Governors of the Federal Reserve System (U.S.).
    • Handle: RePEc:fip:fedgfe:2003-39
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    References listed on IDEAS

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    Cited by:

    1. de Andrade, Fabio Wendling Muniz & Thomas, Lyn, 2007. "Structural models in consumer credit," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1569-1581, December.
    2. Tsai, Ming-Shann & Chen, Lien-Chuan, 2011. "The calculation of capital requirement using Extreme Value Theory," Economic Modelling, Elsevier, vol. 28(1), pages 390-395.
    3. Simone Varotto, 2008. "An Assessment of the Internal Rating Based Approach in Basel II," ICMA Centre Discussion Papers in Finance icma-dp2008-04, Henley Business School, University of Reading.
    4. Kanshukan Rajaratnam & Peter Beling & George Overstreet, 2017. "Regulatory capital decisions in the Context of consumer loan portfolios," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(7), pages 847-858, July.
    5. Crook, Jonathan N. & Edelman, David B. & Thomas, Lyn C., 2007. "Recent developments in consumer credit risk assessment," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1447-1465, December.
    6. Tor Jacobson & Jesper Lindé & Kasper Roszbach, 2005. "Credit Risk Versus Capital Requirements under Basel II: Are SME Loans and Retail Credit Really Different?," Journal of Financial Services Research, Springer;Western Finance Association, vol. 28(1), pages 43-75, October.
    7. Malik, Madhur & Thomas, Lyn C., 2012. "Transition matrix models of consumer credit ratings," International Journal of Forecasting, Elsevier, vol. 28(1), pages 261-272.
    8. P Beling & G Overstreet & K Rajaratnam, 2010. "Estimation error in regulatory capital requirements: theoretical implications for consumer bank profitability," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(3), pages 381-392, March.
    9. Simone Varotto, 2007. "Tests on the Accuracy of Basel II," ICMA Centre Discussion Papers in Finance icma-dp2007-09, Henley Business School, University of Reading.
    10. Varotto, Simone, 2012. "Stress testing credit risk: The Great Depression scenario," Journal of Banking & Finance, Elsevier, vol. 36(12), pages 3133-3149.
    11. Thomas, Lyn C., 2009. "Modelling the credit risk for portfolios of consumer loans: Analogies with corporate loan models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(8), pages 2525-2534.
    12. Fernando F. Moreira, 2010. "Copula‐Based Formulas to Estimate Unexpected Credit Losses (The Future of Basel Accords?)," Financial Markets, Institutions & Instruments, John Wiley & Sons, vol. 19(5), pages 381-404, December.
    13. Chen, Shou & Jiang, Xiangqian & He, Hongbo & Zhou, Xi, 2020. "A pricing model with dynamic repayment flows for guaranteed consumer loans," Economic Modelling, Elsevier, vol. 91(C), pages 1-11.
    14. Tsai, Ming-Shann & Chen, Lien-Chuan, 2011. "The calculation of capital requirement using Extreme Value Theory," Economic Modelling, Elsevier, vol. 28(1-2), pages 390-395, January.
    15. Fernando F. Moreira, 2015. "Estimating Portfolio Credit Losses in Downturns," Financial Markets, Institutions & Instruments, John Wiley & Sons, vol. 24(5), pages 391-414, December.
    16. Jonathan Crook & Tony Bellotti, 2010. "Time varying and dynamic models for default risk in consumer loans," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 173(2), pages 283-305, April.
    17. Joseph L Breeden & Lyn Thomas, 2016. "Solutions to specification errors in stress testing models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(6), pages 830-840, June.

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    Keywords

    Risk; Bank capital;

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