You are given a stock S with an initial price of S0=$50. Calculate the expected value of a call option C3 written on this stock in time t=3 if the call option has a strike price X=$55 and in each period, there is a 50% chance that the stock will rise by 10% and a 50% chance that the stock will fall by 5%. Hint: Draw a 3-period binomial tree. Find the possible stock prices and the corresponding payoffs for the call option in t=3. The value of the call option in t=3 will be the probability-weighted sum of all payoffs of the call option in t=3.