A one$-$year call option contract on Cheesy Poofs Company stock sells for $$1,200.$ In one year, the stock will be worth $$40$ or $$55$ per share. The exercise price on the call option is $$50.$ What is the current value of the stock if the risk$-$free rate is $4$ percent?

Multiple Choice

$$84\mathrm{.}08$

$$74\mathrm{.}46$

$$77\mathrm{.}44$

$$71\mathrm{.}48$

$$58\mathrm{.}46$