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A Markov regime switching jump-diffusion model for the pricing of portfolio credit derivatives

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  • Liang, Xue
  • Wang, Guojing
  • Dong, Yinghui

Abstract

The class of reduced form models is a very important class of credit risk models, and the modeling of the default dependence structure is essential in the reduced form models. This paper proposes a thinning-dependent structure model in the reduced form framework. The intensity process is the jump-diffusion version of the Vasicek model with the coefficients allowed to switch in different regimes. This article will investigate the joint (conditional) survival probability and the pricing formulas of portfolio credit derivatives. The exact analytical expressions are provided.

Suggested Citation

  • Liang, Xue & Wang, Guojing & Dong, Yinghui, 2013. "A Markov regime switching jump-diffusion model for the pricing of portfolio credit derivatives," Statistics & Probability Letters, Elsevier, vol. 83(1), pages 373-381.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:1:p:373-381
    DOI: 10.1016/j.spl.2012.10.003
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    References listed on IDEAS

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    1. Jin Liang & Jun Ma & Tao Wang & Qin Ji, 2011. "Valuation of Portfolio Credit Derivatives with Default Intensities Using the Vasicek Model," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 18(1), pages 33-54, March.
    2. Rama Cont, 2008. "Frontiers in Quantitative Finance: credit risk and volatility modeling," Post-Print hal-00437588, HAL.
    3. Robert J. Elliott & Leunglung Chan & Tak Kuen Siu, 2005. "Option pricing and Esscher transform under regime switching," Annals of Finance, Springer, vol. 1(4), pages 423-432, October.
    4. J. Benson Durham, 2005. "Jump-diffusion processes and affine term structure models: additional closed-form approximate solutions, distributional assumptions for jumps, and parameter estimates," Finance and Economics Discussion Series 2005-53, Board of Governors of the Federal Reserve System (U.S.).
    5. Fan Yu, 2007. "Correlated Defaults In Intensity‐Based Models," Mathematical Finance, Wiley Blackwell, vol. 17(2), pages 155-173, April.
    6. Liang, Xue & Wang, Guojing, 2012. "On a reduced form credit risk model with common shock and regime switching," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 567-575.
    7. John Buffington & Robert J. Elliott, 2002. "American Options With Regime Switching," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 5(05), pages 497-514.
    8. Wang, Guojing & Yuen, Kam C., 2005. "On a correlated aggregate claims model with thinning-dependence structure," Insurance: Mathematics and Economics, Elsevier, vol. 36(3), pages 456-468, June.
    9. George Chacko, 2002. "Pricing Interest Rate Derivatives: A General Approach," The Review of Financial Studies, Society for Financial Studies, vol. 15(1), pages 195-241, March.
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    Cited by:

    1. Changqing Luo & Mengzhen Li & Zisheng Ouyang, 2016. "An empirical study on the correlation structure of credit spreads based on the dynamic and pair copula functions," China Finance Review International, Emerald Group Publishing Limited, vol. 6(3), pages 284-303, August.
    2. Fan, Kun & Shen, Yang & Siu, Tak Kuen & Wang, Rongming, 2015. "Valuing commodity options and futures options with changing economic conditions," Economic Modelling, Elsevier, vol. 51(C), pages 524-533.

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