IDEAS home Printed from https://ideas.repec.org/a/eee/ecmode/v28y2011i1-2p390-395.html
   My bibliography  Save this article

The calculation of capital requirement using Extreme Value Theory

Author

Listed:
  • Tsai, Ming-Shann
  • Chen, Lien-Chuan

Abstract

The Basel Committee has suggested some formulas for calculating capital requirement using the Advanced Internal Ratings-Based Approach. However, these formulas were derived under the assumption of a normal distribution. Thus, the capital requirement estimated by the Basel formula may be incorrect when the asset distributions are not normal. Using an analysis of qualifying revolving retail exposures as an example, this paper introduces a formula based on the Extreme Value Theory to calculate the capital requirement. This formula is more general and accurate than its predecessors, because it can be used with any type of distribution. Numerical examples are provided to demonstrate that the capital requirement estimated by the Basel formula is less than by our formula when the asset distribution has a heavy tail, and more than by our formula when the distribution has a short tail. Our formula is also more sensitive to risk than competing models in the context of the recent financial crisis.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ecmode:v:28:y:2011:i:1-2:p:390-395
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0264-9993(10)00161-6
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Edward I. Altman & Andrea Resti & Andrea Sironi, 2002. "The link between default and recovery rates: effects on the procyclicality of regulatory capital ratios," BIS Working Papers 113, Bank for International Settlements.
    2. 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.
    3. Edward Altman & Andrea Resti & Andrea Sironi, 2004. "Default Recovery Rates in Credit Risk Modelling: A Review of the Literature and Empirical Evidence," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 33(2), pages 183-208, July.
    4. Brooks, C. & Clare, A. D. & Persand, G., 2000. "A word of caution on calculating market-based minimum capital risk requirements," Journal of Banking & Finance, Elsevier, vol. 24(10), pages 1557-1574, October.
    5. 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.
    6. Grané, A. & Veiga, H., 2008. "Accurate minimum capital risk requirements: A comparison of several approaches," Journal of Banking & Finance, Elsevier, vol. 32(11), pages 2482-2492, November.
    7. Gatzert, Nadine & Schmeiser, Hato, 2008. "Combining fair pricing and capital requirements for non-life insurance companies," Journal of Banking & Finance, Elsevier, vol. 32(12), pages 2589-2596, December.
    8. Repullo, Rafael & Suarez, Javier, 2004. "Loan pricing under Basel capital requirements," Journal of Financial Intermediation, Elsevier, vol. 13(4), pages 496-521, October.
    9. Perli, Roberto & Nayda, William I., 2004. "Economic and regulatory capital allocation for revolving retail exposures," Journal of Banking & Finance, Elsevier, vol. 28(4), pages 789-809, April.
    10. Carey, Mark & Hrycay, Mark, 2001. "Parameterizing credit risk models with rating data," Journal of Banking & Finance, Elsevier, vol. 25(1), pages 197-270, January.
    11. Allen, Linda & DeLong, Gayle & Saunders, Anthony, 2004. "Issues in the credit risk modeling of retail markets," Journal of Banking & Finance, Elsevier, vol. 28(4), pages 727-752, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gander, James P., 2013. "Integrating bank profit and risk-avoidance decisions for selected European countries: A micro–macro analysis," Economic Modelling, Elsevier, vol. 31(C), pages 717-722.
    2. Kao, Lie-Jane, 2015. "A portfolio-invariant capital allocation scheme penalizing concentration risk," Economic Modelling, Elsevier, vol. 51(C), pages 560-570.
    3. Frontczak, Robert & Rostek, Stefan, 2015. "Modeling loss given default with stochastic collateral," Economic Modelling, Elsevier, vol. 44(C), pages 162-170.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecmode:v:28:y:2011:i:1-2:p:390-395. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.elsevier.com/locate/inca/30411 .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.