Question
In: Finance
You manage a pension fund that will provide retired workers with lifetime annuities. You determine that...
You manage a pension fund that will provide retired workers with
lifetime annuities. You determine that the payouts of the fund are
essentially going to resemble level perpetuities of $1 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.
a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? (Do not round intermediate calculations. Enter your answers in millions.)
| Market Value | |
| Five-year | $ million |
| Twenty-year | $ million |
b. What must be the face value of the two zeros to fund the plan? (Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places.)
| Face Value | |
| Five-year | $ million |
| Twenty-year | $ million |
Solutions
jeff jeffy answered 1 year agoRelated Solutions
You manage a pension fund that will provide retired workers with lifetime annuities. You determine that...
You manage a pension fund that will provide retired workers with
lifetime annuities. You determine that the payouts of the fund are
essentially going to resemble level perpetuities of $4 million per
year. The interest rate is 10%. You plan to fully fund the
obligation using 5-year and 15-year maturity zero-coupon bonds.
Requirement 1:
How much market value of each of the zeros will be
necessary to fund the plan if you desire an immunized position?
(Enter your answer in...
You manage a pension fund that will provide retired workers with lifetime annuities. You determine that...
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 $2.1 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.
a. How much market value of each of the
zeros will be necessary to fund the plan if you desire an immunized
position? (Do not round intermediate calculations....
You manage a pension fund that will provide retired workers with lifetime annuities. You determine that...
You manage a pension fund that will provide retired workers with
lifetime annuities. You determine that the payouts of the fund are
essentially going to resemble level perpetuities of $1.3 million
per year. The interest rate is 7%. You plan to fully fund the
obligation using 5-year and 20-year maturity zero-coupon bonds.
a. How much market value of each of the zeros will be necessary
to fund the plan if you desire an immunized position? (Do not round
intermediate calculations....
You manage a pension fund that will provide retired workers with lifetime annuities. You determine that...
You manage a pension fund that will provide retired workers with
lifetime annuities. You determine that the payouts of the fund are
essentially going to resemble level perpetuities of $1.5 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.
a. How much market value of each of
the zeros will be necessary to fund the plan if you desire an
immunized position? (Do not round intermediate
calculations....
Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension...
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 $2.6
million per year to beneficiaries. The yield to maturity on all
bonds is 16%.
a. If the duration of 5-year maturity bonds with coupon rates of
12% (paid annually) is 4.0 years and the duration of 20-year
maturity bonds with coupon rates...
Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension...
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 $2.6
million per year to beneficiaries. The yield to maturity on all
bonds is 16%.
a. If the duration of 5-year maturity bonds with
coupon rates of 12% (paid annually) is 4.0 years and the duration
of 20-year maturity bonds with coupon rates...
Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension...
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 $2.5
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 3.7 years and the duration
of 20-year maturity bonds with coupon rates...
Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension...
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 $4.2
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 3.7 years and the duration
of 20-year maturity bonds with coupon rates...
Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension...
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 $2.9
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 3.7 years and the duration
of 20-year maturity bonds with coupon rates...
Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension...
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 $3.6
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 3.7 years and the duration
of 20-year maturity bonds with coupon rates...
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