A pension plan is obligated to make disbursements of $1.9 million, $2.9 million, and $1.9 million at the end of each of the next three years, respectively. The annual interest rate is 11%. 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?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A pension plan is obligated to make disbursements of $1.9 million, $2.9 million, and $1.9 million at the end of each of the next three years, respectively. The annual interest rate is 11%. 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?

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