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Numerical Methods and Volatility Models for Valuing Cliquet Options 

Authors: H. A. Windcliff a;  P. A. Forsyth b; K. R. Vetzal c
Affiliations:   a Equity Trading Lab, Morgan Stanley, New York, USA
b School of Computer Science, University of Waterloo, Canada
c Centre for Advanced Studies in Finance, University of Waterloo, Canada
DOI: 10.1080/13504860600839964
Publication Frequency: 6 issues per year
Published in: journal Applied Mathematical Finance, Volume 13, Issue 4 December 2006 , pages 353 - 386
Formats available: HTML (English) : PDF (English)
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Abstract

Several numerical issues for valuing cliquet options using PDE methods are investigated. The use of a running sum of returns formulation is compared to an average return formulation. Methods for grid construction, interpolation of jump conditions, and application of boundary conditions are compared. The effect of various volatility modelling assumptions on the value of cliquet options is also studied. Numerical results are reported for jump diffusion models, calibrated volatility surface models, and uncertain volatility models.
Keywords: Cliquet options; jump diffusion; interpolation; boundary conditions; volatility models
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