IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/108687.html

Vasicek Model Extension. Premature default

Author

Listed:
  • Osadchiy, Maksim

Abstract

The IRB approach underlies Basel II and Basel III. The approach is based on the Vasicek distribution. The main advantage of the distribution is simplicity and accounting for default correlation. But the distribution substantially underestimates probability of default due to ignoring of premature defaults. Besides, the IRB approach uses the maturity adjustment, which is a kind of a black box, since there is no clear information about the econometric model and calibration of its parameters. If maturity exceeds one year, the IRB formula leads to negativity and even discontinuity of capital in the neighborhood of zero default probability. The paper suggests the Vasicek-Black-Cox (VBC) model, which is constructed to fix drawbacks of the IRB approach. The VBC model is constructed on the base of the Vasicek model and the Black-Cox model. The Vasicek model is a special case of the VBC model, designed to evaluate the default distribution taking into account premature defaults. The VBC model was constructed using the Method of Images, since the firm in the framework of the Black-Cox model is treated as the barrier binary option.

Suggested Citation

  • Osadchiy, Maksim, 2021. "Vasicek Model Extension. Premature default," MPRA Paper 108687, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:108687
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/108687/1/MPRA_paper_108687.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-367, May.
    2. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gady Jacoby & Chuan Liao & Jonathan A. Batten, 2007. "A Pure Test for the Elasticity of Yield Spreads," The Institute for International Integration Studies Discussion Paper Series iiisdp195, IIIS.
    2. Gordian Rättich & Kim Clark & Evi Hartmann, 2011. "Performance measurement and antecedents of early internationalizing firms: A systematic assessment," Working Papers 0031, College of Business, University of Texas at San Antonio.
    3. Zhijian (James) Huang & Yuchen Luo, 2016. "Revisiting Structural Modeling of Credit Risk—Evidence from the Credit Default Swap (CDS) Market," JRFM, MDPI, vol. 9(2), pages 1-20, May.
    4. Fenglong Guo, 2025. "Pricing Vulnerable Options With Variance Gamma Systematic and Idiosyncratic Factors by Laplace Transform Inversion," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 45(1), pages 47-76, January.
    5. Hilscher, Jens & Raviv, Alon, 2014. "Bank stability and market discipline: The effect of contingent capital on risk taking and default probability," Journal of Corporate Finance, Elsevier, vol. 29(C), pages 542-560.
    6. Christopher L. Culp & Yoshio Nozawa & Pietro Veronesi, 2014. "Option-Based Credit Spreads," NBER Working Papers 20776, National Bureau of Economic Research, Inc.
    7. Diaz Weigel, Diana & Gemmill, Gordon, 2006. "What drives credit risk in emerging markets? The roles of country fundamentals and market co-movements," Journal of International Money and Finance, Elsevier, vol. 25(3), pages 476-502, April.
    8. Correia, Ricardo & Población, Javier, 2015. "A structural model with Explicit Distress," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 112-130.
    9. Sangwon Suh & Inwon Jang & Misun Ahn, 2013. "A Simple Method For Measuring Systemic Risk Using Credit Default Swap Market Data," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 38(4), pages 75-100, December.
    10. Daniel Oda, 2013. "Introducing Liquidity Risk in the Contingent-Claim Analysis for the Banks," Working Papers Central Bank of Chile 681, Central Bank of Chile.
    11. Augusto Castillo, 2004. "Firm and Corporate Bond Valuation: A Simulation Dynamic Programming Approach," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 41(124), pages 345-360.
    12. Nusrat Jahan, 2022. "Macroeconomic Determinants of Corporate Credit Spreads: Evidence from Canada," Carleton Economic Papers 22-07, Carleton University, Department of Economics.
    13. Attinger, B. & Baumann, A. & Corrias, R. & Jahn, N. & Melo, A. & Torstensson, P. & Zsámboki, B., 2017. "Macroprudential regulatory issues – The ECB’s key messages on the European Commission’s banking reform package from a macroprudential perspective," Macroprudential Bulletin, European Central Bank, vol. 4.
    14. Ratner, Mitchell & Chiu, Chih-Chieh (Jason), 2013. "Hedging stock sector risk with credit default swaps," International Review of Financial Analysis, Elsevier, vol. 30(C), pages 18-25.
    15. Galai, Dan & Raviv, Alon & Wiener, Zvi, 2007. "Liquidation triggers and the valuation of equity and debt," Journal of Banking & Finance, Elsevier, vol. 31(12), pages 3604-3620, December.
    16. Dionne, Georges & Laajimi, Sadok, 2012. "On the determinants of the implied default barrier," Journal of Empirical Finance, Elsevier, vol. 19(3), pages 395-408.
    17. Regis Houssou & Olivier Besson, 2010. "Indifference of Defaultable Bonds with Stochastic Intensity models," Papers 1003.4118, arXiv.org.
    18. Michael C. Munnix & Rudi Schafer & Thomas Guhr, 2011. "A Random Matrix Approach to Credit Risk," Papers 1102.3900, arXiv.org, revised Jun 2011.
    19. Ephraim Clark & Geeta Lakshmi, 2003. "Controlling the risk: a case study of the Indian liquidity crisis 1990-92," Journal of International Development, John Wiley & Sons, Ltd., vol. 15(3), pages 285-298.
    20. Elisa Luciano, 2007. "Copula-Based Default Dependence Modelling: Where Do We Stand?," ICER Working Papers - Applied Mathematics Series 21-2007, ICER - International Centre for Economic Research.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:pra:mprapa:108687. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.