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arXiv · 1803.09444

Cliquet option pricing with Meixner processes

Markus Hess
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Abstract

We investigate the pricing of cliquet options in a geometric Meixner model. The considered option is of monthly sum cap style while the underlying stock price model is driven by a pure-jump Meixner--L\'{e}vy process yielding Meixner distributed log-returns. In this setting, we infer semi-analytic expressions for the cliquet option price by using the probability distribution function of the driving Meixner--L\'{e}vy process and by an application of Fourier transform techniques. In an introductory section, we compile various facts on the Meixner distribution and the related class of Meixner--L\'{e}vy processes. We also propose a customized measure change preserving the Meixner distribution of any Meixner process.

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BibTeXRIS

Markus Hess. 2018-03-26. Cliquet option pricing with Meixner processes. https://doi.org/10.15559/18-vmsta96

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