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 volatil-ity 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 for European options