April 17th, 2012, 3:25 pm
Typically asianing isn't done so much to smooth the greeks as to make the option cheaper.Pricing -> monte carlo, FD methods (search for Vecer) or approximations (most simple ones are e.g. Curran and Turnbell-Wakeman).Greeks -> indeed your delta reduces over each fixing. If the option is deep in the money, then at each fixing date, your current delta will roughly decrease by 1/(1+remaining number of fixings after this fixing) percent. If spot is around your strike, then things will depend a lot where the forward is as well as where any previous fixings were. It's easy to think through some limiting cases for yourself there.