IDEAS home Printed from https://ideas.repec.org/p/rdg/icmadp/icma-dp2000-08.html
   My bibliography  Save this paper

On modelling credit risk using Arbitrage Free Models

Author

Listed:
  • Frank Skinner

    (ICMA Centre, University of Reading)

  • Antonio Diaz

    (Associate Professor - Departamento de Economia y Empresa, Universidad de Castilla - La Mancha, Spain)

Abstract

By examining the distribution of state prices obtained from binomial versions of Jarrow and Turnbull (1995), Lando (1998) and Duffie and Singleton (1999), we are able to suggest which credit risk parameters are of critical interest. We find that it appears worthwhile to parameterize credit risk since even the simplest parameterized model obtains large changes in the distribution of state prices when compared to a non-parameterized model. Similarly we find large differences in the distribution of state prices as we add correlation and moderate changes as we add time varying recovery rates. Finally, the choice between the RM or RF recovery assumption appears innocuous, but the choice between RT and these two recovery assumptions is not.

Suggested Citation

  • Frank Skinner & Antonio Diaz, 2001. "On modelling credit risk using Arbitrage Free Models," ICMA Centre Discussion Papers in Finance icma-dp2000-08, Henley Business School, University of Reading, revised Mar 2000.
    • Handle: RePEc:rdg:icmadp:icma-dp2000-08
    as

    Download full text from publisher

    File URL: http://www.icmacentre.ac.uk/pdf/discussion/DP2000-08.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Duffee, Gregory R, 1999. "Estimating the Price of Default Risk," The Review of Financial Studies, Society for Financial Studies, vol. 12(1), pages 197-226.
    2. Vasicek, Oldrich A & Fong, H Gifford, 1982. "Term Structure Modeling Using Exponential Splines," Journal of Finance, American Finance Association, vol. 37(2), pages 339-348, May.
    3. Robert A. Jarrow & David Lando & Stuart M. Turnbull, 2008. "A Markov Model for the Term Structure of Credit Risk Spreads," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 18, pages 411-453, World Scientific Publishing Co. Pte. Ltd..
    4. Sarig, Oded & Warga, Arthur, 1989. "Bond Price Data and Bond Market Liquidity," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(3), pages 367-378, September.
    5. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409, World Scientific Publishing Co. Pte. Ltd..
    6. W. Braddock Hickman, 1958. "Corporate Bond Quality and Investor Experience," NBER Books, National Bureau of Economic Research, Inc, number hick58-1.
    7. McCulloch, J Huston, 1975. "The Tax-Adjusted Yield Curve," Journal of Finance, American Finance Association, vol. 30(3), pages 811-830, June.
    8. repec:bla:jfinan:v:53:y:1998:i:5:p:1533-1562 is not listed on IDEAS
    9. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    10. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-489, October.
    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. Antionio Diaz & Frank Skinner, 2001. "Estimating Corporate Yield Curves," ICMA Centre Discussion Papers in Finance icma-dp2001-01, Henley Business School, University of Reading.
    2. Giesecke, Kay & Longstaff, Francis A. & Schaefer, Stephen & Strebulaev, Ilya, 2011. "Corporate bond default risk: A 150-year perspective," Journal of Financial Economics, Elsevier, vol. 102(2), pages 233-250.
    3. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    4. repec:wyi:journl:002109 is not listed on IDEAS
    5. Wolfgang Lemke & Deutsche Bundesbank, 2006. "Term Structure Modeling and Estimation in a State Space Framework," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-28344-7, December.
    6. Brian BARNARD, 2017. "Rating Migration and Bond Valuation: Decomposing Rating Migration Matrices from Market Data via Default Probability Term Structures," Expert Journal of Finance, Sprint Investify, vol. 5(1), pages 49-72.
    7. Brian BARNARD, 2018. "Rating Migration and Bond Valuation: Ahistorical Interest Rate and Default Probability Term Structures," Expert Journal of Finance, Sprint Investify, vol. 6(1), pages 16-30.
    8. Brian BARNARD, 2017. "Rating Migration and Bond Valuation: Decomposing Rating Migration Matrices from Market Data via Default Probability Term Structures," Expert Journal of Finance, Sprint Investify, vol. 5, pages 49-72.
    9. Colino, Jesús P. & Stute, Winfried, 2008. "Credit risk with semimartingales and risk-neutrality," DES - Working Papers. Statistics and Econometrics. WS ws085417, Universidad Carlos III de Madrid. Departamento de Estadística.
    10. Wahyudi, Imam & Robbi, Abdu, 2009. "Exploring Determinant Factors of Bond Trading with Inventory Management Theory (Case Study of Indonesian Capital Market, January – March 2009)," MPRA Paper 59883, University Library of Munich, Germany, revised 16 Jul 2010.
    11. Frank S. Skinner & Michalis Ioannides, 2005. "FRS17 and the Sterling Double A Corporate Yield Curve," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 32(5‐6), pages 1141-1169, June.
    12. Jun Yang, 2008. "Macroeconomic Determinants of the Term Structure of Corporate Spreads," Staff Working Papers 08-29, Bank of Canada.
    13. Lin, Bing-Huei, 1999. "Fitting the term structure of interest rates for Taiwanese government bonds," Journal of Multinational Financial Management, Elsevier, vol. 9(3-4), pages 331-352, November.
    14. Giampaolo Gabbi & Andrea Sironi, 2005. "Which factors affect corporate bonds pricing? Empirical evidence from eurobonds primary market spreads," The European Journal of Finance, Taylor & Francis Journals, vol. 11(1), pages 59-74.
    15. Chava, Sudheer & Jarrow, Robert, 2008. "Modeling loan commitments," Finance Research Letters, Elsevier, vol. 5(1), pages 11-20, March.
    16. John Y. Campbell & Glen B. Taksler, 2003. "Equity Volatility and Corporate Bond Yields," Journal of Finance, American Finance Association, vol. 58(6), pages 2321-2350, December.
    17. Edward J. Elton & Martin J. Gruber & Deepak Agrawal & Christopher Mann, 1999. "Explaining the Rate Spread on Corporate Bonds," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-082, New York University, Leonard N. Stern School of Business-.
    18. Jobst, Norbert J. & Zenios, Stavros A., 2005. "On the simulation of portfolios of interest rate and credit risk sensitive securities," European Journal of Operational Research, Elsevier, vol. 161(2), pages 298-324, March.
    19. Tsung-Kang Chen & Hsien-Hsing Liao & Chia-Wu Lu, 2011. "A flow-based corporate credit model," Review of Quantitative Finance and Accounting, Springer, vol. 36(4), pages 517-532, May.
    20. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    21. Gurdip Bakshi & Dilip B. Madan & Frank X. Zhang, 2001. "Investigating the sources of default risk: lessons from empirically evaluating credit risk models," Finance and Economics Discussion Series 2001-15, Board of Governors of the Federal Reserve System (U.S.).

    More about this item

    Keywords

    Credit risk; credit derivatives; binomial lattice; arbitrage free pricing;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    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:rdg:icmadp:icma-dp2000-08. 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: Marie Pearson (email available below). General contact details of provider: https://edirc.repec.org/data/bsrdguk.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.