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Discrete credit barrier models

Author

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  • Claudio Albanese
  • Oliver Chen

Abstract

The model introduced in this article is designed to provide a consistent representation for both the real-world and pricing measures for the credit process. We find that good agreement with historical and market data can be achieved across all credit ratings simultaneously. The model is characterized by an underlying stochastic process that takes on values on a discrete lattice and represents credit quality. Rating transitions are associated with barrier crossings and default events are associated with an absorbing state. The stochastic process has state-dependent volatility and jumps which are estimated by using empirical migration and default rates. A risk-neutralizing drift is estimated to consistently match the average spread curves corresponding to all the various ratings.

Suggested Citation

  • Claudio Albanese & Oliver Chen, 2005. "Discrete credit barrier models," Quantitative Finance, Taylor & Francis Journals, vol. 5(3), pages 247-256.
    • Handle: RePEc:taf:quantf:v:5:y:2005:i:3:p:247-256
    DOI: 10.1080/14697680500148943
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    References listed on IDEAS

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    1. Albanese, Claudio & Chen, Oliver X., 2006. "Implied migration rates from credit barrier models," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 607-626, February.
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    Cited by:

    1. Hardy Hulley & Shane Miller & Eckhard Platen, 2005. "Benchmarking and Fair Pricing Applied to Two Market Models," Research Paper Series 155, Quantitative Finance Research Centre, University of Technology, Sydney.
    2. Nicola Bruti-Liberati & Christina Nikitopoulos-Sklibosios & Eckhard Platen & Erik Schlögl, 2009. "Alternative Defaultable Term Structure Models," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 16(1), pages 1-31, March.
    3. Jia-wen Zhang & Long-hui Chen & Xiang-yun Liu & Fen Ding, 2014. "Measurement of Credit Risk of Small and Medium-sized S&T Enterprises in China," International Journal of Business Administration, International Journal of Business Administration, Sciedu Press, vol. 5(4), pages 21-31, July.
    4. Alexander Lipton & Ioana Savescu, 2012. "Pricing credit default swaps with bilateral value adjustments," Papers 1207.6049, arXiv.org.

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