Existence of Unbiased Estimators of the Black/Scholes Option Price, Other Derivatives, and Hedge Ratios
Black–Scholes 期权价格、其他衍生品及对冲比率无偏估计量的存在性
In this paper, we reexamine the question of statistical bias in the classic Black/Scholes option price where randomness is due to the use of the historical variance. We show that the only unbiased estimated option is an at the money option.