You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are (approximately) level perpetuities of $1 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year maturity and 20-year maturity zero-coupon bonds. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? 4 million for 5 year bond and 6 million of 20-year bond. 6 million for 5 year bond and 4 million of 20-year bond. 6.67 million for 5 year bond and 3.33 million of 20-year bond. O 3.33 million for 5 year bond and 6.67 million of 20-year bond.

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
Section: Chapter Questions
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You manage a pension fund that will provide retired workers with lifetime annuities.
You determine that the payouts of the fund are (approximately) level perpetuities of
$1 million per year. The interest rate is 10%. You plan to fully fund the obligation
using 5-year maturity and 20-year maturity zero-coupon bonds.
How much market value of each of the zeros will be necessary to fund the plan if
you desire an immunized position?
4 million for 5 year bond and 6 million of 20-year bond.
6 million for 5 year bond and 4 million of 20-year bond.
O 6.67 million for 5 year bond and 3.33 million of 20-year bond.
O 3.33 million for 5 year bond and 6.67 million of 20-year bond.
Question 9
Using the same information from question 8, suppose that one year has passed, and the interest rate remains at 10%.
What actions are required to rebalance the portfolio?
O buy additional 0.67 million 5-year bond and sell 0.67 million 20-year bond.
Sell 0.67 million 5-year bond, purchase additional 0.67 million 20-year bond.
Sell 1.27 million 5-year bond, purchase additional 0.27 million 20-year bond and use the net 1 million cash to make the payment
O buy additional 0.27 million 5-year bond, sell 1.27 million 20-year bond and use the net 1 million cash to make the payment
Transcribed Image Text:You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are (approximately) level perpetuities of $1 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year maturity and 20-year maturity zero-coupon bonds. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? 4 million for 5 year bond and 6 million of 20-year bond. 6 million for 5 year bond and 4 million of 20-year bond. O 6.67 million for 5 year bond and 3.33 million of 20-year bond. O 3.33 million for 5 year bond and 6.67 million of 20-year bond. Question 9 Using the same information from question 8, suppose that one year has passed, and the interest rate remains at 10%. What actions are required to rebalance the portfolio? O buy additional 0.67 million 5-year bond and sell 0.67 million 20-year bond. Sell 0.67 million 5-year bond, purchase additional 0.67 million 20-year bond. Sell 1.27 million 5-year bond, purchase additional 0.27 million 20-year bond and use the net 1 million cash to make the payment O buy additional 0.27 million 5-year bond, sell 1.27 million 20-year bond and use the net 1 million cash to make the payment
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