Option pricing in the model with stochastic volatility driven by Ornstein--Uhlenbeck process. Simulation

Sergii Kuchuk-Iatsenko and Yuliya Mishura

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Abstract: We consider a discrete-time approximation of paths of an Ornstein--Uhlenbeck process as a mean for estimation of a price of European call option in the model of financial market with stochastic volatility. The Euler--Maruyama approximation scheme is implemented. We determine the estimates for the option price for predetermined sets of parameters. The rate of convergence of the price and an average volatility when discretization intervals tighten are determined. Discretization precision is analyzed for the case where the exact value of the price can be derived.

Date: 2016-01
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Published in Modern Stochastics: Theory and Applications 2015, Vol. 2, No. 4, 355-369

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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1601.01128

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