English

L\'{e}vy driven models and derivative pricing

Applications 2013-06-18 v1

Abstract

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

Cite

@article{arxiv.1306.3762,
  title  = {L\'{e}vy driven models and derivative pricing},
  author = {Alexander Kushpel and Jeremy Levesley},
  journal= {arXiv preprint arXiv:1306.3762},
  year   = {2013}
}
R2 v1 2026-06-22T00:34:44.578Z