A share of stock sells for $52 and can go up by 5% within 3 months or down by 2% in the same period. A 3-month zero-coupon Treasury bond trades for $98.67 (face value of 100). Experts are unanimous on the outlook of the stock: they agree the probability of the stock going up is 75%. An at-the-money call option is issued. (a) Compute the risk-neutral probabilities. (b) What is the probability of the call option maturing out-of-the money? (c) What is the expected payoff from the call option?