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Extending the Basel II approach to estimate capital requirements for equity investments

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  • Johnston, Mark

Abstract

Under the Basel II banking regulatory capital regime the capital requirements for credit exposures are calculated using the Asymptotic Single Risk Factor (ASRF) approach. The capital requirement is taken to be the contribution of an exposure to the unexpected loss on the bank's diversified portfolio. Here we extend this approach to calculate capital requirements for equity investments. We show that in the case when asset values have a normal distribution an analytical formula for the unexpected loss contribution may be developed. We show that the capital requirements for equity investments are quite different to those of credit exposures, since equity investments can suffer substantial loss of value even when the underlying company has not defaulted. Unexpected loss is commonly used as a measure of capital requirements, but it ignores the ability of earnings to absorb loss. We propose a definition of capital requirement that recognises the expected earnings on assets, and show how to combine the ASRF model and the Capital Asset Pricing Model to compute this quantity for credit and equity exposures.

Suggested Citation

  • Johnston, Mark, 2009. "Extending the Basel II approach to estimate capital requirements for equity investments," Journal of Banking & Finance, Elsevier, vol. 33(6), pages 1177-1185, June.
  • Handle: RePEc:eee:jbfina:v:33:y:2009:i:6:p:1177-1185
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    References listed on IDEAS

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    1. Blum, Jürg M., 2008. "Why 'Basel II' may need a leverage ratio restriction," Journal of Banking & Finance, Elsevier, vol. 32(8), pages 1699-1707, August.
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    Cited by:

    1. Cardone-Riportella, Clara & Samaniego-Medina, Reyes & Trujillo-Ponce, Antonio, 2010. "What drives bank securitisation? The Spanish experience," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2639-2651, November.
    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. Rainer Masera, 2014. "CRR/CRD IV: the trees and the forest," PSL Quarterly Review, Economia civile, vol. 67(271), pages 381-422.
    4. Clara Cardone-Riportella & Antonio Trujillo-Ponce & Anahí Briozzo, 2013. "Analyzing the role of mutual guarantee societies on bank capital requirements for small and medium-sized enterprises," Journal of Economic Policy Reform, Taylor & Francis Journals, vol. 16(2), pages 142-159, June.
    5. Maskara, Pankaj Kumar, 2010. "Economic value in tranching of syndicated loans," Journal of Banking & Finance, Elsevier, vol. 34(5), pages 946-955, May.
    6. 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.
    7. Balbás, Alejandro & Balbás, Beatriz & Balbás, Raquel, 2010. "CAPM and APT-like models with risk measures," Journal of Banking & Finance, Elsevier, vol. 34(6), pages 1166-1174, June.
    8. Farruggio, Christian & Uhde, André, 2015. "Determinants of loan securitization in European banking," Journal of Banking & Finance, Elsevier, vol. 56(C), pages 12-27.
    9. Matthew C. Chang & Jui-Cheng Hung, 2012. "Can VAR Be Predictive for Regulation? Evidence from the Futures Industry in Taiwan," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(4), pages 147-162, December.
    10. Uhde, André & Michalak, Tobias C., 2010. "Securitization and systematic risk in European banking: Empirical evidence," Journal of Banking & Finance, Elsevier, vol. 34(12), pages 3061-3077, December.

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