A stock is currently selling for $$45.$ Over the next two periods, the stock will move up by a factor of $1\mathrm{.}23$ or down by a factor of $0\mathrm{.}61$ each period. A call option with a strike price of $$54$ is available. If the risk$-$free rate of interest is $3\mathrm{.}2$ percent per period, what is the value of the call option?Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.