申論題

4. The Black-Scholes formula for a call option with six input parameters (S, X,r,q,σ,T) is as follows.
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.
(Please write down the detailed calculation process.)

(d)Derive and express  as the form of . What are I, J, and K?