You are attempting to value a put option with an exercise price of $105 and one year to expiration. The underlying stock pays no dividends, its current price is $105, and you believe it has a 50% chance of increasing to $122 and a 50% chance of decreasing to $88. The risk-free rate of interest is 5%. Calculate the value of a put option with exercise price $105. (Do not round intermediate calculations. Round your answer to 2 decimal places.)