the answer is not $7.14 or $8.43. two people have gotten it wrong pls help!!!!

You are attempting to value a put option with an exercise price of $108 and one year to expiration. The underlying stock pays no dividends, its current price is $108, and you believe it has a 50% chance of increasing to $123 and a 50% chance of decreasing to $93. The risk-free rate of interest is 5%. Calculate the value of a put option with exercise price $108. (Do not round intermediate calculations. Round your answer to 2 decimal places.)