November 25th, 2015, 2:44 pm
totally agree. as a matter of fact I did run some test on calculating the daily gamma and calculate it's pnl using eod curves assuming I can get it at mid. i.e bought a straddle, keep normal delta neutral and just hedge eod back to flat. the sum of all gamma pnl plus the terminal swap value is then compared to the prem (given small option term, the discounting impact on the daily gamma pnl vs prem at expiry is ignore for now). I found that the size of the profit (or less) is only somewhat relevant to the realized vol over the term vs implied bp vol up front. A hypothetical situation would be the market didn't move until on expiry date, the mkt move just over the B/E point so the bought swaption is up in money. but obviously the realized vol would be much lower than the implied since most of the days the mkt didn't move at all. so this also suggest that implied vs realized doesn't really give a good picture on the profit. then it gets to a point, what's gamma trading then? it has been said gamma trading is all about realized vs implied...