Suppose that S=100,K=100,r=0.08,=0.30,=0, and T=1. Construct a standard twoperiod binomial stock price tree using the forward tree specification. 1. Consider stock price averages computed by averaging the 6-month and 1-year prices. What are the possible arithmetic and geometric averages after 1 year? 2. Construct a binomial tree for the average. How many nodes does it have after 1 year? (Hint: While the moves ud and du give the same year-1 price, they do not give the same average in year 1 .) 3. What is the price of an Asian arithmetic average price call