You are attempting to value a call option with an exercise price of $$102$ and one year to expiration. The underlying stock pays no

dividends, its current price is $$102,$ and you believe it has a $50\%$ chance of increasing to $$116$ and a $50\%$ chance of decreasing to $$88.$

The risk$-$free rate of interest is $12\%.$ Calculate the call option's value using the two$-$state stock price model. $($Do not round intermediate

calculations. Round your final answer to $2$ decimal places.$)$

Call option's value