2. (30%) The formula for a geometric Asian call option with six parameters (S, X,r,q, σ,T) is as follows.
C(S,X,r,q,σ,T) =
where
and N(●) is the cumulative distribution function of the standard normal distribution defined as
where n(●) is the probability density function of the standard normal distribution.
(c) (8%) Derive and express
as C + Dd2 and E + Fd2, respectively. What are C, D, E, and F?