Cliquet option pricing with Meixner processes

Markus Hess

Papers from arXiv.org

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.

Date: 2018-03
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Citations: View citations in EconPapers (1)

Published in Modern Stochastics: Theory and Applications 2018, Vol. 5, No. 1, 81-97

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