2. A 9-month Asian average price call option on a non-dividend-paying stock based on the arithmetic average of monthly prices is modeled with a 3-period binomial tree. You are given: I. The current stock price is 49.50. II. The strike price is 52. III. The tree has u= 1.1 and d=0.9. IV. The continuously compounded risk-free interest rate is 0.02. Calculate the risk-neutral probability of an option payoff greater than 0. Hint: After constructing the tree and determining payoffs at all 8 ending nodes, circle the positive payoffs and add together the risk-neutral probabilities of reaching each of those nodes. For example the risk-neutral probability of reaching the dud node would be (1-p*)(*)(1-p*)