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A stochastic volatility model with jumps

Youssef El-Khatib
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Abstract

We consider a stochastic volatility model with jumps where the underlying asset price is driven by the process sum of a 2-dimensional Brownian motion and a 2-dimensional compensated Poisson process. The market is incomplete, resulting in infinitely many equivalent martingale measures. We find the set equivalent martingale measures, and we hedge by minimizing the variance using Malliavin calculus.

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Youssef El-Khatib. 2006-03-22. A stochastic volatility model with jumps. https://arxiv.org/abs/math/0603527

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