Quote from riskarb:
dG IS priced under BSM, but absent dV.
If you dont mind,I have a question for you and anyone else regarding trading the skew in the S&P 500...
As we know the implied option vol has a positive slope as you move from 100% spot -90%-80% and so on.....Conversely,when you look at the strikes 100%-110%-120% of spot the option vol slopes down...
If and when i sell premium,I always sell it as a spread..just in case...
As an example,lets say I am looking to sell vol delta neutral and am deciding between the 103/106 percent of spot vs the 97/94 percent of spot.I am using ATM foward to base the spreads.
What is interesting is due to the slope of the skew,if you reverse engineer the value of both spreads and come up with a flat vol for which they trade at,the 103/106 spread trades at higher flat vol and you bring in more premium,and quite a bit on a percentage basis...
So my question is to the mathematically inclined.
If the respective spreads imply a 16% flat vol for the 103/106, a flat vol of 13% for the 97/94,and the historical vol of the index is 11%,do i not have a theoretical edge of 5 vol points if the market does indeed trade at 11 and I hedge and stay delta flat??
Am i not far better off selling the 103/106 spread and delta hedging or trading intermarket spreads against it???
I have always been curious about this