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Pricing And Hedging Of Cdo-Squared Tranches By Using A One Factor LãVy Model Author info | Abstract | Publisher info | Download info | Related research | Statistics FLORENCE GUILLAUME () (Department of Mathematics, K. U. Leuven, Celestijnenlaan 200 B, B-3001 Leuven, Belgium)
PHILIPPE JACOBS () (Value and Risk Management Department, KBC Group, Belgium)
WIM SCHOUTENS () (Department of Mathematics, K. U. Leuven, Celestijnenlaan 200 B, B-3001 Leuven, Belgium)
This paper provides a comparison of the exponential copula Lévy model with the classical Gaussian copula model for the pricing of CDO-squared tranches. Several approximations of the recursive approach are considered: a full Monte Carlo approximation, a multivariate Normal approximation of the joint inner CDO loss distribution and a multivariate Poisson approximation of the joint number of defaults affecting the inner CDOs. More particularly, a sensitivity analysis is carried out for three particular days characterized by a low, medium and high value of the quoted iTraxx and CDX index spreads. Moreover, this paper features a comparison of the exponential Lévy and Gaussian Deltas under the multivariate Normal approximation for a period extended from 20 September 2007 until 13 February 2008. The Deltas are computed with respect to a weighted and unweighted version of the CDS pool as well as with respect to another CDO-squared tranche.
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Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Journal of Theoretical and Applied Finance .
Volume (Year): 12 (2009)
Issue (Month): 05 ()
Pages: 663-685
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Handle: RePEc:wsi:ijtafx:v:12:y:2009:i:05:p:663-685Contact details of provider: Web page: http://www.worldscinet.com/ijtaf/ijtaf.shtml
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Keywords: Credit risk ; CDOs-squared ; collateralized debt obligations ; correlation ; copula ; hedging ;
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This page was last updated on 2009-12-9.
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