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On discrete time hedging errors in a fractional Black-Scholes model
Authors:Wen-sheng Wang
Institution: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.
Keywords:discrete time hedging  Wick-It(o)-Skorohod integral  rate of convergence  weak convergence  incomplete market  fractional Brownian motion  replicate  Black-Scholes model
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