You will be paying $12,400 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 $ 22113

Duration 1.4808 years

b. What is the duration of a zero-coupon bond that would immunize your obligation and its future redemption value? (Do not round intermediate calculations. Round "Duration" to 4 decimal places and "Future redemption value" to 2 decimal places.)

Duration 1.4808 years

Future redemption value $ 24,781.71

You buy a zero-coupon bond with value and duration equal to your obligation.

c-1. 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? (Enter your answer as a positive value. Do not round intermediate calculations. Round your answer to 2 decimal places.)

Net position changes by $

c-2. What if rates fall to 7%? (Enter your answer as a positive value. Do not round intermediate calculations. Round your answer to 2 decimal places.)

Net position changes by $