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Pricing of credit default index swap tranches with one-factor heavy-tailed copula models

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  • Wang, Dezhong
  • Rachev, Svetlozar T.
  • Fabozzi, Frank J.

Abstract

In this paper, we provide two one-factor heavy-tailed copula models for pricing a collateralized debt obligation and credit default index swap tranches: (1) a one-factor double t distribution with fractional degrees of freedom copula model and (2) a one-factor double mixture distribution of t and Gaussian distribution copula model. A time-varying tail-fatness parameter is introduced in each model, allowing one to change the tail-fatness of the copula function continuously. Fitting our model to comprehensive market data, we find that a model with fixed tail-fatness cannot fit market data well over time. The two models that we propose are capable of fitting market data well over time when using a proper time-varying tail-fatness parameter. Moreover, we find that the time-varying tail-fatness parameters change dramatically over a one-year period.

Suggested Citation

  • Wang, Dezhong & Rachev, Svetlozar T. & Fabozzi, Frank J., 2009. "Pricing of credit default index swap tranches with one-factor heavy-tailed copula models," Journal of Empirical Finance, Elsevier, vol. 16(2), pages 201-215, March.
    • Handle: RePEc:eee:empfin:v:16:y:2009:i:2:p:201-215
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    References listed on IDEAS

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    1. Jeffery D Amato & Jacob Gyntelberg, 2005. "CDS index tranches and the pricing of credit risk correlations," BIS Quarterly Review, Bank for International Settlements, March.
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    Cited by:

    1. Bedendo, Mascia & Campolongo, Francesca & Joossens, Elisabeth & Saita, Francesco, 2010. "Pricing multiasset equity options: How relevant is the dependence function?," Journal of Banking & Finance, Elsevier, vol. 34(4), pages 788-801, April.
    2. Hayette Gatfaoui, 2010. "Investigating the dependence structure between credit default swap spreads and the U.S. financial market," Annals of Finance, Springer, vol. 6(4), pages 511-535, October.
    3. Zinna, Gabriele, 2013. "Sovereign default risk premia: Evidence from the default swap market," Journal of Empirical Finance, Elsevier, vol. 21(C), pages 15-35.
    4. Andrew Carverhill & Dan Luo, 2020. "Pricing and integration of credit default swap index tranches," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(4), pages 503-526, April.
    5. Conghui Hu & Xun Zhang & Qiuming Gao, 2015. "Synthetic CDO pricing: the perspective of risk integration," Applied Economics, Taylor & Francis Journals, vol. 47(15), pages 1574-1587, March.
    6. Pierre Rostan & Alexandra Rostan & François-Éric Racicot, 2020. "Increment Variance Reduction Techniques with an Application to Multi-name Credit Derivatives," Computational Economics, Springer;Society for Computational Economics, vol. 55(1), pages 1-35, January.

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