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Computation of copulas by Fourier methods

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  • Antonis Papapantoleon

Abstract

We provide an integral representation for the (implied) copulas of dependent random variables in terms of their moment generating functions. The proof uses ideas from Fourier methods for option pricing. This representation can be used for a large class of models from mathematical finance, including L\'evy and affine processes. As an application, we compute the implied copula of the NIG L\'evy process which exhibits notable time-dependence.

Suggested Citation

  • Antonis Papapantoleon, 2011. "Computation of copulas by Fourier methods," Papers 1108.1216, arXiv.org, revised Jun 2014.
    • Handle: RePEc:arx:papers:1108.1216
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