Calculate the prices of 9 month European call and put options using the Black-Scholes pricing formula, given that the current market price of the underlying asset is $47.03, the risk-free continuously compounded interest rate is 4% per annum, and the volatility (standard deviation) of the price of the underlying asset is 19% per annum.

a)Calculate the option price for a call and a put if the strike price is $49.82. 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 $44.67. Give all answers in dollars and cents to the nearest cent.

Price of a call option = $

Price of a put option = $