$3.$ You work on a proprietary trading desk of a large investment bank, and you have been asked for a quote on the sale of a call option with a strike price of $$55$ and one year of expiration. The call option would be written on a stock that does not pay a dividend. From your analysis, you expect that the stock will either increase to $$73$ or decrease to $$39$ over the next year. The current price of the underlying stock is $$55,$ and the risk$-$free interest rate is $4\%$ per annum.$$What is this fair market value for the call option under these conditions?