Consider an option on a dividend-paying stock when the stock price is $30, the exercise price is $29, the risk-free interest rate is 5% per annum, the volatility is 25% per annum, and the time to maturity is four months. The present value of the dividend to be paid in 3 months is $1.
What is the price of the option if it is a European call?
What is the price of the option if it is an American call?
What is the price of the option if it is a European put?