A model-free no-arbitrage price bound for variance options
AbstractIn the framework of Galichon, Henry-Labordère and Touzi, we consider the model-free no-arbitrage bound of variance option given the marginal distributions of the underlying asset. We first make some approximations which restrict the computation on a bounded domain. Then we propose a gradient projection algorithm together with a finite difference scheme to approximate the bound. The general convergence result is obtained. We also provide a numerical example on the variance swap option.
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Bibliographic InfoPaper provided by HAL in its series Post-Print with number inria-00634387.
Date of creation: 04 Jul 2013
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Publication status: Published, Applied Mathematics and Optimization, 2013, 68, 1, 43-73
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Variance option ; model-free price bound ; gradient projection algorithm.;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-07-15 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- David G. Hobson, 1998. "Robust hedging of the lookback option," Finance and Stochastics, Springer, vol. 2(4), pages 329-347.
- Peter Carr & Roger Lee, 2010. "Hedging variance options on continuous semimartingales," Finance and Stochastics, Springer, vol. 14(2), pages 179-207, April.
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