Bergische Universität Wuppertal
Fachbereich Mathematik und Naturwissenschaften
Angewandte Mathematik - Numerische Analysis


Numerical Pricing of Cliquet Options

Masterarbeit Wirtschaftsmathematik

Master's Thesis in Financial Mathematics



The cliquet or ratchet option is periodic financial derivative resetting the strike price to the value of actual price of the underlying asset. At each reset time the holder receives payment of the difference between old and new strike price or the payment can be also accumulated until the final maturity. In this thesis we want to investigate how to price numerically cliquet options.


Cliquet options, partial integro differential equation


  1. L. Andersen and J. Andreasen, Jump-diffusion processes: Volatility smile fitting and numerical methods for option pricing, Review of Derivatives Research 4 (2000), 231-262.
  2. C. Bernard, and W.V. Li, Pricing and Hedging of Cliquet Options and Locally Capped Contracts, SIAM Journal on Financial Mathematics 4 (2013), 353-371.
  3. C. Borell and T. Nordqvist, A remark on the pricing of certain cliquet options, Preprint, Göteborg University, 2001.
  4. P. Den Iseger and E. Oldenkamp, Cliquet Options: Pricing and Greeks in Deterministic and Stochastic Volatility (July 5, 2005). Available at SSRN: or
  5. T. Guillaume, A Few Insights into Cliquet Options, International Journal of Business 17 (2012), 163-180.
  6. M. Kjaer, On the Pricing of Cliquet Options with Global Floor and Cap, Thesis of the ECMI post-graduate program, Chalmers University of Technology and Göteborg University, 2004.
  7. Z. Matosek, Hedging cliquet options, Working Paper, Free University Amsterdam, 2008.
  8. A. Petrelli, J. Zhang, O. Siu, R. Chatterjee and V. Kapoor, Optimal Dynamic Hedging of Cliquets, Working Paper 2008.
  9. M. Shparber and S. Resheff, Valuation of Cliquet Options, Thesis, The Leon Recanati Graduate School of Business Administration, Tel Aviv University, August 2004.
  10. P. Wilmott, Cliquet Options and Volatility Models, Wilmott Magazine, December 2002, 78-83.
  11. H.A. Windcliff, P.A. Forsyth and K.R. Vetzal, Numerical Methods and Volatility Models for Valuing Cliquet Options, Applied Mathematical Finance 13 (2006), 353-386

University of Wuppertal
Faculty of Mathematics and Natural Sciences
Department of Mathematics
Applied Mathematics & Numerical Analysis Group

Last modified:   Disclaimer