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 $$53$ and one year of expiration. The call option would be written on a stock that does not pay a dividend. From your analysis, you expect that the stock will either increase to $$75$ or decrease to $$36$ over the next year. The current price of the underlying stock is $$53,$ and the risk$-$free interest rate is $6\%$ per annum. What is this fair market value for the call option under these conditions? Do not round intermediate calculations. Round your answer to the nearest cent.

$$75\mathrm{.}12$

$$10\mathrm{.}74$

$$10\mathrm{.}50$

$$36\mathrm{.}25$