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Rapid and accurate development of prices and Greeks for nth to default credit swaps in the Li model


  • Mark Joshi
  • Dherminder Kainth


New techniques are introduced for pricing nth to default credit swaps in the Li model. We demonstrate the use of importance sampling to greatly increase the rate of convergence of Monte Carlo simulations for pricing. This technique is combined with the likelihood ratio and pathwise methods for computing the sensitivities of these products to changes in the hazard rates of the underlying obligors. In particular the extension of the pathwise method has wider significance in that it is shown that the method can be used even when the pay-off is discontinuous.

Suggested Citation

  • Mark Joshi & Dherminder Kainth, 2004. "Rapid and accurate development of prices and Greeks for nth to default credit swaps in the Li model," Quantitative Finance, Taylor & Francis Journals, vol. 4(3), pages 266-275.
  • Handle: RePEc:taf:quantf:v:4:y:2004:i:3:p:266-275 DOI: 10.1088/1469-7688/4/3/003

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    References listed on IDEAS

    1. Wong, Wing-Keung & Li, Chi-Kwong, 1999. "A note on convex stochastic dominance," Economics Letters, Elsevier, vol. 62(3), pages 293-300, March.
    2. Wing-Keung Wong & Meher Manzur & Boon-Kiat Chew, 2003. "How rewarding is technical analysis? Evidence from Singapore stock market," Applied Financial Economics, Taylor & Francis Journals, vol. 13(7), pages 543-551.
    3. Meher Manzur & Wing-Keung Wong & Inn-Chau Chee, 1999. "Measuring international competitiveness: experience from East Asia," Applied Economics, Taylor & Francis Journals, vol. 31(11), pages 1383-1391.
    4. Wing-Keung Wong & Robert B. Miller & Keshab Shrestha, 2002. "Maximum Likelihood Estimation of ARMA Model with Error Processes for Replicated Observations," Departmental Working Papers wp0217, National University of Singapore, Department of Economics.
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    Cited by:

    1. Grundke, Peter, 2009. "Importance sampling for integrated market and credit portfolio models," European Journal of Operational Research, Elsevier, vol. 194(1), pages 206-226, April.
    2. Choe, Geon Ho & Jang, Hyun Jin, 2011. "Efficient algorithms for basket default swap pricing with multivariate Archimedean copulas," Insurance: Mathematics and Economics, Elsevier, vol. 48(2), pages 205-213, March.
    3. Fathi, Abid & Nader, Naifar, 2007. "Price Calibration of basket default swap: Evidence from Japanese market," MPRA Paper 6013, University Library of Munich, Germany.

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