Dell'Era, Mario (2010): Vanilla Option Pricing on Stochastic Volatility market models. Forthcoming in: Quantitative Finance

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Abstract
We 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.
Item Type:  MPRA Paper 

Original Title:  Vanilla Option Pricing on Stochastic Volatility market models 
English Title:  Vanilla Option Pricing on Stochastic Volatility market models 
Language:  English 
Keywords:  Vanilla Option pricing on Stochastic volatility market models 
Subjects:  G  Financial Economics > G1  General Financial Markets C  Mathematical and Quantitative Methods > C0  General 
Item ID:  25645 
Depositing User:  Mario Dell'Era 
Date Deposited:  05. Oct 2010 00:08 
Last Modified:  13. Feb 2013 01:09 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/25645 