Consider a 2-year American call option on a non-dividend paying stock. S(0)=100,K=105,r=5%,u=1.1,d=0.9. The option is modeled with a 2-period binomial tree. (a) Suppose investor A has such an American call. When the stock price goes up at t=1, he exercises the American call. That means he loses "an interest of strike price from t=1 to t =2 " and "a chance of buying S(2) at a price below K=105 at t=2 ". Calculate the value at t =1 of (i) "an interest of strike price from t=1 to t=2 " (ii) "a chance of buying S(2) at a price below K=105 at t=2 " (b) Suppose investor B has such an American call. When the stock price goes up at t=1, he sells American call. Then he invests the sell-out-money in bonds. How much does he get at t=2. (c) Suppose investor C has such an American call. When the stock price goes up at t=1, he shorts a share of stock and sells it out. Then he invests the sell-out-money in bonds. (i) If the stock price goes up at t=2, how much does he get after closing short position of stock? (ii) If the stock price goes down at t=2, how much does he get after closing short position of stock