Jl. Knight et Se. Satchell, EXISTENCE OF UNBIASED ESTIMATORS OF THE BLACK SCHOLES OPTION PRICE, OTHER DERIVATIVES, AND HEDGE RATIOS/, Econometric theory, 13(6), 1997, pp. 791-807
In this paper, we reexamine the question of statistical bias in the cl
assic Black/Scholes option price where randomness is due to the use of
the historical variance. We show that the only unbiased estimated opt
ion is an at the money option.