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Copulas and Dependence models in Credit Risk: Diffusions versus Jumps

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Author Info
Elisa Luciano ()

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Abstract

The most common approach for default dependence modelling is at present copula functions. Within this framework, the paper examines factor copulas, which are the industry standard, together with their latest development, namely the incorporation of sudden jumps to default instead of a pure diffusive behavior. The impact of jumps on default dependence - through factor copulas - has not been fully explored yet. Our novel contribution consists in showing that modelling default arrival through a pure jump asset process does matter, even when the copula choice is thestandard, factor one, and the correlation is calibrated so as to match the diffusive and non diffusive case. An example from the credit derivative market is discussed.

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Publisher Info
Paper provided by ICER - International Centre for Economic Research in its series ICER Working Papers - Applied Mathematics Series with number 31-2007.

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Length: 15 pages
Date of creation: Mar 2007
Date of revision:
Handle: RePEc:icr:wpmath:31-2007

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Related research
Keywords: credit risk; correlated defaults; structural models; Lévy processes; copula functions; factor copula;

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References listed on IDEAS
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  1. Elisa Luciano & Wim Schoutens, 2005. "A Multivariate Jump-Driven Financial Asset Model," ICER Working Papers - Applied Mathematics Series 6-2005, ICER - International Centre for Economic Research. [Downloadable!]
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  2. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-70, May. [Downloadable!] (restricted)
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