Suppose a pension fund must have $10,000,000 five years from now to make required payments to retirees. If the pension wants to guarantee the funds are available regardless of future interest rate changes, it should:
A. Sell a 5-year duration bond so that it matures with a book value of $10,000,000
B. Sell $10,000,000 face value discount bonds with a duration of five years
C. Purchase 7-year, semi-annual coupon bonds that have a duration of five years
D. Purchase 8-year, annual payment bonds that have a dollar duration of $10,000,000
E. None of the options since future interest rates are too unpredictable
If the pension wants to guarantee the funds are available regardless of future interest rate changes, it should:-
(B) Sell $10,000,000 face value discount bonds with a duration of five years as it will have the required payments and protection against any adverse movements.
Suppose a pension fund must have $10,000,000 five years from now to make required payments to...
A pension fund has an average duration of its liabilities equal
to 13 years. The fund is looking at 4-year maturity zero-coupon
bonds and 5% yield perpetuities to immunize its interest rate risk.
How much of its portfolio should it allocate to the zero-coupon
bonds to immunize if there are no other assets funding the
plan?
Questlon 1 (of 80) 1 A pension fund has an average duration of its liabilities equal to 13 years. The fund is looking at...
You work for a pension fund company. One account starts its pension payments at the end of two years from now. The duration of pension payment is 10.5 years when the pension starts. The present value of the pension payment is $123,456. Currently, the pension’s yield is 5%. To neutralize the interest rate risk, you would like to use a zero coupon bond (ZCB). What should be the maturity of ZCB? What is the face value (future value) of ZCB?
A pension fund has an average duration of its liabilities equal to 15 years. The fund is looking at 5-year maturity zero-coupon bonds and 4% yield perpetuities to immunize its interest rate risk. How much of its portfolio should it allocate to the zero-coupon bonds to immunize if there are no other assets funding the plan? Write in percentages.
A pension fund has an average duration of its liabilities equal to 15 years. The fund is looking at 5-year maturity zero-coupon bonds and 4% yield perpetuities to immunize its interest rate risk. How much of its portfolio should it allocate to the zero-coupon bonds to immunize if there are no other assets funding the plan? Write in percentages.
12. You manage a pension fund, which provides retired workers with lifetime annuities. The fund must pay out $1 million per year to cover these annuities. Assume for simplicity that these payments continue for 20 years and then cease. The interest rate is 4% (flat term structure). You plan to cover this obligation by investing in 5- and 20-year maturity Treasury strips. (A) What is the duration of the funds 20-year pay-out obligation? (2 marks) (B) You decide to minimize...
You are the pension fund manager for a consulting company. Your workers will begin to retire 10 years from now. You estimate that you will need $1.2 million exactly 10 years from now to fund the first year payments. Due to inflation and growth in the number of retirees, your annual obligations will grow by 5% per year, and will continue forever. Your financial advisors tell you that you can plan on earning 8.0% per year on invested funds. (a)...
(20 marks) Question 4 Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely. the pension obligation will resemble a perpetuity. Suppose that you are managing a pension fund with obligations to make perpetual payments of $3 million per year to beneficiaries. The yield to maturity on all bonds is 10%. To fully fund and immunize the obligations, you want to set up an immunization strategy using the following two high-grade corporate bonds. Delta Bond A...
You currently have pension fund assets of $15 million in a bond portfolio with a Macaulay duration of 10. Your liabilities are $2.7 million per year starting 30 years from today (i.e. at time 30) and lasting for 30 years (i.e. the last payment is at time 60). The yield curve is flat with spot rates constant at 4% for all maturities. (a) Compute the present value of your liabilities. Do you have enough assets to cover those liabilities? (b)...
You manage a pension fund that promises to pay out $10 million to its contributors in five years. You buy $7472582 worth of par-value bonds that make annual coupon payments of 6% and mature in five years. Right after you make the purchase, the interest rate on same-risk bonds decreases to 4.9%. If the rate does not change again and you reinvest the coupon payments that you receive in same-risk bonds, how much will you fall short of the money...
Problem 4. You work for a pension fund that has an obligation that must be paid in 10 years. Currently this obligation, which has a present value of $200 million, is exactly funded (i.e., the market value of the fund's assets equals the present value of its obligation; net equity is exactly zero). Te duration of the fund's assets is currently 8. The yield-to-maturity on zero coupon bonds of all maturities is currently 6%. (a) Using the duration information, what...