You will be paying $10,000 a year in tuition expenses at the end of the next two years. Bonds currently yield 8%. 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	________	years

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		________years
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 9%. 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 7%? (Do not round intermediate calculations. Input the amount as a positive value. Round your answer to 2 decimal places.)

Net position_______

in value by_______