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Pricing Credit Derivatives with Rating Transitions

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  • Acharya, Viral V
  • Das, Sanjiv Ranjan
  • Sundaram, Rangarajan K

Abstract

We develop a model for pricing risky debt and valuing credit derivatives that is easily calibrated to existing variables. Our approach is based on expanding the Heath-Jarrow-Morton (1990) term-structure model and its extension, the Das-Sundaram (2000) model to allow for defaultable debt with rating transitions. The framework has two salient features, comprising extensions over the earlier work: (i) it employs a rating transition matrix as the driver for the default process, and (ii) the entire set of rating categories is calibrated jointly, allowing, with minimal assumptions, arbitrage-free restrictions across rating classes, as a bond migrates amongst them. We provide an illustration of the approach by applying it to price credit sensitive notes that have coupon payments that are linked to the rating of the underlying credit.

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Bibliographic Info

Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 3329.

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Date of creation: Apr 2002
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Handle: RePEc:cpr:ceprdp:3329

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Keywords: credit derivatives; credit sensitive note; HJM model; rating transitions; risky debt;

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References

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  1. Geske, Robert, 1977. "The Valuation of Corporate Liabilities as Compound Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 541-552, November.
  2. Tomasz R. Bielecki & Marek Rutkowski, 2000. "Multiple Ratings Model of Defaultable Term Structure," Mathematical Finance, Wiley Blackwell, vol. 10(2), pages 125-139.
  3. In Joon Kim & Krishna Ramaswamy & Suresh Sundaresan, . "The Valuation of Corporate Fixed Income Securities," Rodney L. White Center for Financial Research Working Papers 32-89, Wharton School Rodney L. White Center for Financial Research.
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  7. Delianedis, Gordon & Geske, Robert, 1998. "Credit Risk and Risk Neutral Default Probabilities: Information About Migrations and Defaults," University of California at Los Angeles, Anderson Graduate School of Management qt7dm2d31p, Anderson Graduate School of Management, UCLA.
  8. In Joon Kim & Krishna Ramaswamy & Suresh Sundaresan, 1993. "Does Default Risk in Coupons Affect the Valuation of Corporate Bonds?: A Contingent Claims Model," Financial Management, Financial Management Association, vol. 22(3), Fall.
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  17. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
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Citations

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Cited by:
  1. Lando, David & Mortensen, Allan, 2004. "On the Pricing of Step-Up Bonds in the European Telecom Sector," Working Papers 2004-9, Copenhagen Business School, Department of Finance.
  2. Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2005. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2213-2253, October.
  3. Manso, Gustavo, 2013. "Feedback effects of credit ratings," Journal of Financial Economics, Elsevier, vol. 109(2), pages 535-548.
  4. Til Schuermann & Yusuf Jafry, 2003. "Measurement and Estimation of Credit Migration Matrices," Center for Financial Institutions Working Papers 03-08, Wharton School Center for Financial Institutions, University of Pennsylvania.
  5. Acharya, Viral V & Bharath, Sreedhar T & Srinivasan, Anand, 2003. "Understanding the Recovery Rates on Defaulted Securities," CEPR Discussion Papers 4098, C.E.P.R. Discussion Papers.
  6. Haibin Zhu, 2006. "An Empirical Comparison of Credit Spreads between the Bond Market and the Credit Default Swap Market," Journal of Financial Services Research, Springer, vol. 29(3), pages 211-235, June.
  7. Dai, Qiang & Singleton, Kenneth J., 2003. "Fixed-income pricing," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 20, pages 1207-1246 Elsevier.

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