You are attempting to value a call option with an exercise price of $105 and 1 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 $127 and a 50% chance of decreasing to $83. The risk-free rate of interest is 10%. Calculate the call option's value using the two-state stock price model. (Do not round intermediate calculations and round your final answer to 2 decimal places. Omit the "$" sign in your response.)