Problem 16-12 You will be paying $8,200 a year in tuition expenses at the end of the next two years. Bonds currently yield 9%. a. What is the present value and duration of your obligation? (Do not round Intermediate calculations. Round "Present value to 2 decimal places and "Duration" to 4 decimal places.) Present value Duration ances b. What maturity zero-coupon bond would Immunize your obligation? (Do not round Intermediate calculations. Round "Duration" to 4 decimal places and "Face value to 2 decimal places.) Duration Face value 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? (Do not round Intermediate calculations. Input the amount as a positive value. Round your answer to 2 decimal places.) Net position in value by 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? (Do not round intermediate calculations. Input the amount as a positive value. Round your answer to 2 decimal places.) Net position in value by d. What if rates fall immediately to 8%? (Do not round Intermediate calculations. Input the amount as a positive value. Round your answer to 2 decimal places.) Net position in value by