Assume you will be paying $10,000 per year in tuition expenses at the end of each of the next two years. Bonds currently yield 8%. 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 that of your obligation. Now suppose that interest 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?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 11P
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Assume you will be paying $10,000 per year in tuition expenses at the end of each of the next two years. Bonds currently yield 8%.

  1. a) What is the present value and duration of your obligation?
  2. b) What maturity zero-coupon bond would immunize your obligation?
  3. c) Suppose you buy a zero-coupon bond with value and duration equal to that of your obligation. Now suppose that interest 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?
  4. d) What happens to your net position if rates instead fall to 7%?
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