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Fitch Quantitative Financial Research (QFR)

In Rememberance: World Trade Center (WTC)

Lévy Density Based Intensity Modeling of the Correlation Smile

by Bannur S. Balakrishna -- Unaffiliated

August 17, 2008

Abstract: The jump distribution for the default intensities in a reduced form framework is modeled and calibrated to provide reasonable fits to CDX.NA.IG and iTraxx Europe CDOs, to 5, 7 and 10 year maturities simultaneously. Calibration is carried out using an efficient Monte Carlo simulation algorithm that appears to be suitable for both homogeneous and heterogeneous collections of credit names. The underlying jump process is found to relate closely to a maximally skewed stable Lévy process with index of stability α ~ 1.5.

JEL Classification: G13.

Keywords: CDO, Default Correlation, Levy Process, Intensity Model, Reduced Form.

Download paper (183K PDF) 15 pages

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