A stock is currently selling for $$49.$ Over the next two periods, the stock will move up by a factor of $1\mathrm{.}23$ or down by a factor of $91$ each period. A call option with a strike price of $$59$ is available. If the risk$-$free rate of interest is $3\mathrm{.}2$ percent per period, what is the value of the call option? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Value of the call option

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