Problem:
You are attempting to value a call option with an exercise price of $108 and 1 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 $130 and a 50% chance of decreasing to $86. The risk-free rate of interest is 10%.
Required:
Question: Calculate the value of a put option with exercise price $108.
Note: Explain the solution in detail.