You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are going to closely resemble level perpetuities of $2.3 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds. Required: a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? Five-year Twenty-year Market Value million million

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are
going to closely resemble level perpetuities of $2.3 million per year. The interest rate is 10%. You plan to fully fund the obligation using
5-year and 20-year maturity zero-coupon bonds.
Required:
a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position?.
Five-year
Twenty-year
Market Value
Five-year
Twenty-year
million
million
b. What must be the face value of each of the two zeros to fund the plan?
Face Value
million
million
Transcribed Image Text:You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are going to closely resemble level perpetuities of $2.3 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds. Required: a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position?. Five-year Twenty-year Market Value Five-year Twenty-year million million b. What must be the face value of each of the two zeros to fund the plan? Face Value million million
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