Use risk neutral probabilities to calculate the value of a three-month European put with the strike price 102, the stock price is 100. In 1 month it can go 5% up or down. In the second month it can go 5% up or down. And in the third month it can go 5% up or down. Construct a binomial tree for this stock . The annual interest rate is 10% with continuous compounding. Calculate the put value at each node of the tree.