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Copula based simulation procedures for pricing basket Credit Derivatives

  • Fathi, Abid
  • Nader, Naifar
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    This paper deals with the impact of structure of dependency and the choice of procedures for rare-event simulation on the pricing of multi-name credit derivatives such as nth to default swap and Collateralized Debt Obligations (CDO). The correlation between names defaulting has an effect on the value of the basket credit derivatives. We present a copula based simulation procedure for pricing basket default swaps and CDO under different structure of dependency and assessing the influence of different price drivers (correlation, hazard rates and recovery rates) on modelling portfolio losses. Gaussian copulas and Monte Carlo simulation is widely used to measure the default risk in basket credit derivatives. Default risk is often considered as a rare-event and then, many studies have shown that many distributions have fatter tails than those captured by the normal distribution. Subsequently, the choice of copula and the choice of procedures for rare-event simulation govern the pricing of basket credit derivatives. An alternative to the Gaussian copula is Clayton copula and t-student copula under importance sampling procedures for simulation which captures the dependence structure between the underlying variables at extreme values and certain values of the input random variables in a simulation have more impact on the parameter being estimated than others .

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    File URL: http://mpra.ub.uni-muenchen.de/6014/1/MPRA_paper_6014.pdf
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    Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 6014.

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    Date of creation: Mar 2007
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    Handle: RePEc:pra:mprapa:6014
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    1. Ericsson, Jan & Jacobs, Kris & Oviedo, Rodolfo, 2009. "The Determinants of Credit Default Swap Premia," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 44(01), pages 109-132, February.
    2. Fathi Abid & Nader Naifar, 2006. "Credit-default swap rates and equity volatility: a nonlinear relationship," Journal of Risk Finance, Emerald Group Publishing, vol. 7(4), pages 348-371, August.
    3. Jobst, Andreas A., 2002. "Collateralised loan obligations (CLOs): A primer," CFS Working Paper Series 2002/13, Center for Financial Studies (CFS).
    4. Hull, John & Predescu, Mirela & White, Alan, 2004. "The relationship between credit default swap spreads, bond yields, and credit rating announcements," Journal of Banking & Finance, Elsevier, vol. 28(11), pages 2789-2811, November.
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