کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
976233 | 933099 | 2010 | 7 صفحه PDF | دانلود رایگان |
This paper deals with the problem of discrete time option pricing by the fractional Black–Scholes model with transaction costs. By a mean self-financing delta-hedging argument in a discrete time setting, a European call option pricing formula is obtained. The minimal price Cmin(t,St) of an option under transaction costs is obtained as timestep δt=(2π)12H(kσ)1H, which can be used as the actual price of an option. In fact, Cmin(t,St) is an adjustment to the volatility in the Black–Scholes formula by using the modified volatility σ2(2π)12−14H(kσ)1−12H to replace the volatility σσ, where kσ<(π2)12, H>12 is the Hurst exponent, and kk is a proportional transaction cost parameter. In addition, we also show that timestep and long-range dependence have a significant impact on option pricing.
Journal: Physica A: Statistical Mechanics and its Applications - Volume 389, Issue 3, 1 February 2010, Pages 438–444