On Option Pricing with Ornstein-Uhlenbeck Position Process

10.30003/JRM.200707.0004

Mi-Hsiu Chiang；Wei-Kuang Chen；Chi-Hung Cheng

option pricing ； Ornstein Uhlenbeck position process

風險管理學報

9卷2期（2007 / 07 / 01）

173 - 191

英文

This research employs the Ornstein Uhlenbeck position process as an alternative underlying stochastic process for stock prices in markets where frictional elements are present. We derive a analytical formula for call option prices together with the hedging parameters in closed-form. We conduct sensitivity analysis to explore how this pricing model differs from the traditional Black-Scholes. Our numerical results suggest that, the impact of the frictional elements in the long term would actually be less significant. Our numerical results also show that when the underlying asset stock is highly volatile, the presence of frictional elements in the market would in fact amplifies the deviation in option prices between our model and that of the traditional Black-Scholes model.

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