When checking the volatility surface for, let's say, a swaption, where the the option expires in 1Y and the underlying starts in 1Y and ends in 5Y, one would check the volatility surface for the quoted volatilities and pick the volatility from Exp. 1Yx5Y ;
What happens to the volatility of a mid curve option? how do you relate/ interpolate the volatility in this case? let's say the option expires in 1Y, and the asset starts in 6Y and ends in 5Y after start? where on the volatility surface should the volatility of a mid curve option be situated? Or in other words howw do you get the volatility for the 6Y fwd 5Y swap for an option that expires in 1Y ?