Consider an option on a dividend-paying stock when the stock price is $60, the exercise price is $58, the risk-free interest rate is 3% per annum, the volatility is 25% per annum, and the time to maturity is three months. The stock will pay a dividend of $1 in two months. Using the Black-Scholes-Merton model,
a. What is the price of the option if it is a European call?
b. What is the price of the option if it is a European put?
c. Verify that put–call parity holds.