I have started Chapter 1 of Dynamic Hedging by Taleb and it starts by saying
"Even if traders knew the exact future volatility but hedged themselves (rebalanced the gamma) at discretely spaced increments, they would have difficultly predicting the final P/L".
"If they traded every millionth of a second they would get a P/L with certainty. Increasing the frequency of adjustments would compress the results as shown"
"The mean is the Black Scholes Merton value of the security"
I find this very much starts at the deep end and is fairly poorly explained sentence. Could someone please help me make sense of this.