College of Economics,Hangzhou Dianzi University,Hangzhou 310018,China;College of Science,Hangzhou Normal University,Hangzhou 310036,China
Abstract:
In this paper we investigate asymptotic behavior of error of a discrete time hedging strategy in a fractional Black-Scholes model in the sense of Wick-Ito-Skorohod integration.The rate of convergence of the hedging error due to discrete-time trading when the true strategy is known for the trader,is investigated.The result provides new statistical tools to study and detect the effect of the long-memory and the Hurst parameter for the error of discrete time hedging.