Vanilla Option Pricing on Stochastic Volatility market models
AbstractWe want to discuss the option pricing on stochastic volatility market models, in which we are going to consider a generic function β (νt ) for the drift of volatility process. It is our intention choose any equivalent martingale measure, so that the drift of volatility process, respect at the new measure, is zero. This technique is possible when the Girsanov theorem is satisﬁed, since the stochastic volatility models are uncomplete markets, thus one has to choice an arbitrary risk price of volatility. In all this cases we are able to compute the price of Vanilla options in a closed form. To name a few, we can think to the popular Heston’s model, in which the solution is known in literature, unless of an inverse Fourier transform.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 25645.
Date of creation: 04 Oct 2010
Date of revision:
Vanilla Option pricing on Stochastic volatility market models;
Find related papers by JEL classification:
- G1 - Financial Economics - - General Financial Markets
- C0 - Mathematical and Quantitative Methods - - General
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Tinbergen Institute Discussion Papers
06-046/4, Tinbergen Institute, revised 07 Jun 2007.
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- Vladimir Piterbarg, 2005. "Stochastic Volatility Model with Time-dependent Skew," Applied Mathematical Finance, Taylor & Francis Journals, vol. 12(2), pages 147-185.
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