Calculate the prices of 6 month European call and put options using the Black-Scholes pricing formula, given that the current market price of the underlying asset is $49.75, the risk-free continuously compounded interest rate is 5% per annum, and the volatility (standard deviation) of the price of the underlying asset is 36% per annum. You may find this table useful.

a) Calculate the option price for a call and a put if the strike price is $49.72. Give all answers in dollars and cents to the nearest cent.

Price of a call option = $

Price of a put option = $

b) Calculate the option price for a call and a put if the strike price is $43.09. Give all answers in dollars and cents to the nearest cent.

Price of a call option = $

Price of a put option = $