Suppose you have just purchased a share of stock in WYZ Corp for $$50.$ The stock is not expected to pay a dividend during the time you plan to hold it$.$ You have forecasted that the stock will be worth in one year either $ $65$ or $$40.$ Suppose further that you can sell a call option on WYZ stock with an exercise price of $$52\mathrm{.}50.$ It is a European$-$style contract that expires in exactly one year. What the option should sell for today if the one$-$year T$-$bill yield is $8\%?($show your work$)$