5. Simulation investigation of the empirical bias effect
In order to illustrate the feasibility of these various approaches, we suggest
reference to table 3. This table presents the results of extensive simulations of
the returns on a hedge portfolio. The BlackkScholes assumptions are
assumed to hold perfectly in these simulations. We performed ten thousand
simulations of hedge performance over ten, twenty, forty and eighty trading
intervals.
That is to say, we simulated how a correctly valued and balanced hedge
would perform if hedge proportion were adjusted at the start of regular
intervals (of length dt - e.g. daily adjustment). Such readjustment would
occur at the start of each of the ten (or twenty, forty or eighty) intervals
between the date of intial purchase and the option expiration date.