題組內容

4. The Black-Scholes formula for a call option with six input parameters (S, X,r,q,σ,T) is as follows.
659773ad88cd7.jpg and N(•) is the cumulative distribution function of the standard normal distribution defined as
659773ee824db.jpg
where n(•) is the probability density function of the standard normal distribution.
(Please write down the detailed calculation process.)

(c)Derive and express 65977466266f6.jpg as the form of 65977471436a4.jpg. What are F, G, and H?