August 1st, 2005, 4:02 pm
benchy - i agree with all five of your comments! but i am told that local vol, pure and simple, is used to price path-independent multifactor options such as a worst-of-20 derivative. path dependent derivatives in particular do very badly in local vol i believe.in the local vol calculation of a path independent derivative price, you only need to agree the terminal distribution (i guess it would be a lower dimensional slice of the 20 dimensional surface?) and not the entire surface, right?i mean you need to get the terminal distributions right, so that would include the skew of the T-maturity european options for every underlying, but all other info could be wrong, and you would stil get the correct path-independent derivative value.