You will be paying $10,200 a year in tuition expenses at the end of the next two years. Bonds currently yield 10%. a. What is the present value and duration of your obligation? b. What maturity zero-coupon bond would immunize your obligation? c. Suppose you buy a zero-coupon bond with value and duration equal to your obligation. Now suppose that rates immediately increase to 11%. What happens to your net position, that is, to the difference between the value of the bond and that of your tuition obligation? d. What if rates fall immediately to 9%?