One share of Mac Inc. is currently trading at $$48$ per share. In one year, the price is expected either $(1)$ rise to $$65$ or $(2)$ fall to $$40.$ You are interested in purchasing a call option on Mac, Inc. The option has a strike price of $$57$ and expires in $1$ year. The current risk$-$free rate for the year is $3\%.$Based on binomial options pricing $($as shown in class$),$ what is a fair price for this option?Answer to the nearest cent.