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Modeling Credit Risk by Affine Processes

Author

Listed:
  • Li Chen

    (Princeton University)

  • Damir Filipovic

    (Princeton University)

Abstract

In this paper, the treasury rates and the credit migrations are jointly modeled by multi-dimensional affine processes. In order to capture the entire information, including credit migrations and default events, we construct non-conservative regular affine processes to model credit migrations and characterize the default by the death of the processes. In particular, two specific cases: purely jump affine models and affine diffusion models with potentials, are discussed. This affine approach not only produces the explicit formulas for the prices of corporate bonds and other credit derivatives, but also directly incorporates the credit rating information as a parameter into the pricing formulas. Moreover, our affine models allow to consider the joint credit migrations within an analytically tractable framework in order to capture the correlations of credit movements between firms. Finally, the empirical testing results of a simple affine model are presented to support the effectiveness of our models.

Suggested Citation

  • Li Chen & Damir Filipovic, 2003. "Modeling Credit Risk by Affine Processes," Finance 0303006, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpfi:0303006
    Note: Type of Document - pdf; prepared on IBM PC - PC-TEX/UNIX Sparc TeX; to print on HP/PostScript/Franciscan monk; pages: 25; figures: none. We never published this piece and now we would like to reduce our mailing and xerox cost by posting it.
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    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. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    3. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    4. Li Chen & H. Vincent Poor, 2003. "Markovian Quadratic Term Structure Models For Risk-free And Defaultable Rates," Finance 0303008, University Library of Munich, Germany.
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    Cited by:

    1. Li Chen & Damir Filipovic, 2003. "Pricing Credit Default Swaps Under Default Correlations and Counterparty Risk," Finance 0303009, University Library of Munich, Germany.

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    More about this item

    Keywords

    Credit Risk Models; Credit Migrations; Affine Processes;
    All these keywords.

    JEL classification:

    • C39 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Other

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