A stock is currently selling for $$45.$ In one period, the stock will move up by a factor of $1\mathrm{.}15$ or down by a factor of $0\mathrm{.}87.$ A call option with a strike price of $$50$ is available. If the risk$-$free rate of interest is $2\mathrm{.}5$ percent for this period, what is the value of the call option?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.