Consider a bull spread where you buy a 40-strike put and sell a 45-strike put. Suppose

Question:

Consider a bull spread where you buy a 40-strike put and sell a 45-strike put. Suppose
σ = 0.30, r = 0.08, δ = 0, and T = 0.5.
a. Suppose S = $40. What are delta, gamma, vega, theta, and rho?
b. Suppose S = $45. What are delta, gamma, vega, theta, and rho?
c. Are any of your answers to (a) and (b) different? If so, why?
d. Are any of your answers different in this problem from those in Problem 12.14? If so, why?