Option Pricing for Stochastic Volatility Models: Vol-of-Vol Expansion

نویسنده

  • S. M. Ould Aly
چکیده

In this article, we propose an analytical approximation for the pricing of European options for some lognormal stochastic volatility models. This approximation is a second-order Taylor series expansion of the Fourier transform with respect to the "volatility of volatility". We give, using these formulas, a new method of variance reduction for the Monte-Carlo simulation of the trajectories of the underlying.

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عنوان ژورنال:
  • SIAM J. Financial Math.

دوره 5  شماره 

صفحات  -

تاریخ انتشار 2014