Consider a European call option on a stock when there are ex-dividend rates in two months and five months. The dividend on each ex-dividend date is expected to be $0.60 in two months and $0.45 in five months from today. Use the following characteristics as well and solve for Black-Scholes price of European Call and Put Options.
S=$40, K=$40, σ=30%, T=6 months, and r=9% annual continuously compounding.
a) What is the current price of the European call option?
b) What is the current price of the European put option?
c) Verify that put-call parity holds.