A stochastic volatility model with jumps

Youssef El-Khatib

Papers from arXiv.org

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.

Date: 2006-03, Revised 2011-10
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