Please solve this question. Thanks.

3. Consider an at-the-money option on a non-dividend-paying stock that follows a GBM. The current stock price is $80, the continuously compounded risk-free interest rate is 12% per annum, the volatility is 28% per annum, and the time to maturity is one year. (a) What is the BSM-price of the option if it is a European call? (b) What is the BSM-price of the option if it is an American call? (c) What is the BSM-price of the option if it is a European put? (d) Use your answers in exercises (a) and (c) to verify that put-call parity holds