Required: A pension plan is obligated to make disbursements of $1 million, $2 million, and $1 million at the end of each of the next three years, respectively. The annual interest rate is 10%. If the plan wants to fully fund and immunize its position, how much of its portfolio should it allocate to one-year zero-coupon bonds and perpetuities, respectively, if these are the only two assets funding the plan? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Investment in one-year zero-coupon bonds Investment in perpetuity Portfolio % %

Intermediate Accounting: Reporting And Analysis
3rd Edition
ISBN:9781337788281
Author:James M. Wahlen, Jefferson P. Jones, Donald Pagach
Publisher:James M. Wahlen, Jefferson P. Jones, Donald Pagach
ChapterM: Time Value Of Money Module
Section: Chapter Questions
Problem 10RE: If 90,000 is invested in a fund on December 31, 2019, and 5 equal annual withdrawals of 23,138.32...
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Required:
A pension plan is obligated to make disbursements of $1 million, $2 million, and $1 million at the end of each of the next three years,
respectively. The annual interest rate is 10%. If the plan wants to fully fund and immunize its position, how much of its portfolio should it
allocate to one-year zero-coupon bonds and perpetuities, respectively, if these are the only two assets funding the plan?
Note: Do not round intermediate calculations. Round your answers to 2 decimal places.
Investment in one-year zero-coupon bonds
Investment in perpetuity
Portfolio
%
%
Transcribed Image Text:Required: A pension plan is obligated to make disbursements of $1 million, $2 million, and $1 million at the end of each of the next three years, respectively. The annual interest rate is 10%. If the plan wants to fully fund and immunize its position, how much of its portfolio should it allocate to one-year zero-coupon bonds and perpetuities, respectively, if these are the only two assets funding the plan? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Investment in one-year zero-coupon bonds Investment in perpetuity Portfolio % %
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