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Category > Business & Finance Posted 28 May 2017 My Price 12.00

Pension funds pay lifetime annuities to recipient

Pension funds pay lifetime annuities to recipients. If a firm remains 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 $3.0 million per year to beneficiaries. The yield to maturity on all bonds is 20%.

 

a.

If the duration of 5-year maturity bonds with coupon rates of 16% (paid annually) is 4 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? (Do not round intermediate calculations. Enter your answers in millions rounded to 1 decimal place.)

 

  Holdings
5 year bond $ million
20 year bond $ million

 

b.

What will be the par value of your holdings in the 20-year coupon bond? (Do not round intermediate calculations. Enter your answer in dollars not in millions)

 

Par value $


********PLEASE EXPLAIN********

 

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Status NEW Posted 28 May 2017 08:05 AM My Price 12.00

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