Consider an option on a non-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. (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 an American call? (c) What is the price of the option if it is a European put? (d) Verify that putcall parity holds