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Option Pricing under Risk-Minimization Criterion in an Incomplete Market with the Finite Difference Method

Xinfeng Ruan, Wenli Zhu, Shuang Li and Jiexiang Huang

Mathematical Problems in Engineering, 2013, vol. 2013, 1-9

Abstract:

We study option pricing with risk-minimization criterion in an incomplete market where the dynamics of the risky underlying asset is governed by a jump diffusion equation with stochastic volatility. We obtain the Radon-Nikodym derivative for the minimal martingale measure and a partial integro-differential equation (PIDE) of European option. The finite difference method is employed to compute the European option valuation of PIDE.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:165727

DOI: 10.1155/2013/165727

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