You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the funds are going to closely resemble perpetuities of $1 million per year. The interest rate is 9% per year. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds. How much market value of each of the zero coupon bonds will be necessary to fund the plan if you desire an immunized position? Duration of a perpetuity is (1+y)/y

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 22P
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You manage a pension fund that will provide retired workers with lifetime
annuities. You determine that the payouts of the funds are going to closely
resemble perpetuities of $1 million per year. The interest rate is 9% per
year. You plan to fully fund the obligation using 5-year and 20-year maturity
zero-coupon bonds. How much market value of each of the zero coupon
bonds will be necessary to fund the plan if you desire an immunized
position? Duration of a perpetuity is (1+y)/y
Transcribed Image Text:You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the funds are going to closely resemble perpetuities of $1 million per year. The interest rate is 9% per year. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds. How much market value of each of the zero coupon bonds will be necessary to fund the plan if you desire an immunized position? Duration of a perpetuity is (1+y)/y
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