In Dynamic Hedging, Nassim writes...
"Almost one century ago, a young French mathematician named Gaston Bachelier had the insight (among other surprising intuitions) to write, in his doctoral thesis, see Bachelier (1900), that the expected price tomorrow of a call value was today's. He gave the right answer to what most option beginners fail to understand: that time decay is not expected P/L from an option. If the option is priced at the right volatility (assuming interest rates are 0), time decay will be expected to be 0."
So what is the true P/L from an option if it is not theta?
"Almost one century ago, a young French mathematician named Gaston Bachelier had the insight (among other surprising intuitions) to write, in his doctoral thesis, see Bachelier (1900), that the expected price tomorrow of a call value was today's. He gave the right answer to what most option beginners fail to understand: that time decay is not expected P/L from an option. If the option is priced at the right volatility (assuming interest rates are 0), time decay will be expected to be 0."
So what is the true P/L from an option if it is not theta?