(Call and put price sensitivity) Consider a call option and a put option on a stock whose current price S is 50, both with exercise price X = $50, T = 0.5, r = 3%, and σ = 25%. Use Data Table to produce graphs that show:

a. The sensitivity of the Black–Scholes call price to changes in the initial stock price S.

b. The sensitivity of the Black–Scholes put price to changes in σ.

c. The sensitivity of the Black–Scholes call price to changes in the time to maturity T.

d. The sensitivity of the Black–Scholes call price to changes in the interest rate r.

e. The sensitivity of the put price to changes in the exercise price X.