Required: A pension plan is obligated to make disbursements of $2.7 million, $3.7 million, and $2.7 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? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Investment in one-year zero-coupon bonds Investment in perpetuity Portfolio % %

Required: A pension plan is obligated to make disbursements of $2.7 million, $3.7 million, and $2.7 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? (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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Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $1.9 million per year to beneficiaries. The yield to maturity on all bonds is 19.0%. Required: a. If the duration of 5-year-maturity bonds with coupon rates of 11.8% (paid annually) is four years and the duration of 20-year-maturity bonds with coupon rates of 7% (paid annually) is 11 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. b. What will be the par value of your holdings in the 20-year coupon bond? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. a. 5 year bond a. 20 year bond b. Par…
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