Asian option pricing with transaction costs under CEV model by mixed fractional Brownian motion
کد مقاله : 1031-FEMATH7
نویسندگان
مریم رضایی *
دانشگاه خوارزمی، دانشکده علوم مالی، گروه ریاضیات مالی
چکیده مقاله
One ‎of ‎the‎ phenomena observed in the real market is long-range dependence. Mixed fractional Brownian motion with Hurst parameter can be a suitable tool to capture it. Also, stock price volatility is increasing when the stock price is decreasing in many markets. ‎‎Hence, ‎th‏e ‎‎‎main objective of this work is to obtain the pricing formula for geometric average Asian options base on the fractional Black-Scholes equation under the constant elasticity of variance (CEV) model and mixed fractional Brownian motion model with transaction costs and time-dependent parameters in a discrete-time setting when ‎the dividend yeild is paid on assets during that period.‎‎‎
کلیدواژه ها
Mixed fractional Brownian motion; Asian option pricing; Transaction Costs.
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