You are attempting to value a put 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 $121 and a 50% chance of decreasing to $83. The risk-free rate of interest is 10%. Calculate the value of a put option with exercise price $102. Note: Do not round intermediate calculations. Round your answer to 2 decimal places