Lévy driven models and derivative pricing

preprint2013arXivOpen access

Abstract

We develop a general method for derivative pricing. This approach has its roots in Shannon's Information Theory. The notion of λλ-analyticity of Lévy models is introduced on the basis of which new representations of the pricing integral are obtained. It is shown that popular in applications Lévy models are λλ-analytic. We apply these results to derive a general algorithm for pricing of European call options.

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