A share sells for $52 and can go up 5% in 3 months or down 2% in the same period. A 3-month zero cipon treasury bond is counted for $ 98.67 (face value of 100). Experts are unanimous on the prospects for the action: the probability that it will rise is 75%. An at-the-money purchase option is issued. a) Calculate the risk-neutral probabilities b) What is the expected payment for the purchase option? c) What is the price without arbitrage of the purchase option? Comment: Use binomial-model