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On pricing basket credit default swaps

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  • Jia-Wen Gu
  • Wai-Ki Ching
  • Tak-Kuen Siu
  • Harry Zheng

Abstract

In this paper we propose a simple and efficient method to compute the ordered default time distributions in both the homogeneous case and the two-group heterogeneous case under the interacting intensity default contagion model. We give the analytical expressions for the ordered default time distributions with recursive formulas for the coefficients, which makes the calculation fast and efficient in finding rates of basket CDSs. In the homogeneous case, we explore the ordered default time in limiting case and further include the exponential decay and the multistate stochastic intensity process. The numerical study indicates that, in the valuation of the swap rates and their sensitivities with respect to underlying parameters, our proposed model outperforms the Monte Carlo method.
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  • Jia-Wen Gu & Wai-Ki Ching & Tak-Kuen Siu & Harry Zheng, 2013. "On pricing basket credit default swaps," Quantitative Finance, Taylor & Francis Journals, vol. 13(12), pages 1845-1854, December.
    • Handle: RePEc:taf:quantf:v:13:y:2013:i:12:p:1845-1854
    DOI: 10.1080/14697688.2013.783713
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    Cited by:

    1. Yao Tung Huang & Qingshuo Song & Harry Zheng, 2015. "Weak Convergence of Path-Dependent SDEs in Basket CDS Pricing with Contagion Risk," Papers 1506.00082, arXiv.org, revised May 2016.
    2. Feng-Hui Yu & Wai-Ki Ching & Jia-Wen Gu & Tak-Kuen Siu, 2017. "Interacting default intensity with a hidden Markov process," Quantitative Finance, Taylor & Francis Journals, vol. 17(5), pages 781-794, May.
    3. Longjie Jia & Martijn Pistorius & Harry Zheng, 2017. "Dynamic Portfolio Optimization with Looping Contagion Risk," Papers 1710.05168, arXiv.org, revised Aug 2018.
    4. Geon Ho Choe & Hyun Jin Jang & Soon Won Kwon, 2015. "A factor contagion model for portfolio credit derivatives," Quantitative Finance, Taylor & Francis Journals, vol. 15(9), pages 1571-1582, September.
    5. Masaaki Kijima & Chi Chung Siu, 2014. "Credit-Equity Modeling Under A Latent Lévy Firm Process," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 1-41.
    6. Feng-Hui Yu & Jiejun Lu & Jia-Wen Gu & Wai-Ki Ching, 2019. "Modeling Credit Risk with Hidden Markov Default Intensity," Computational Economics, Springer;Society for Computational Economics, vol. 54(3), pages 1213-1229, October.

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