You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund aregoing to closely resemble level perpetuities of $2.3 million per year. The interest rate is 10%. You plan to fully fund the obligation using5-year and 20-year maturity zero-coupon bonds.Required:a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position?.Five-yearTwenty-yearMarket ValueFive-yearTwenty-yearmillionmillionb. What must be the face value of each of the two zeros to fund the plan?Face Valuemillionmillion

Bonds payable is a type of instrument where by an amount is borrowed for a fixed period with fixed…

Answered: You manage a pension fund that will…

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

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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 going to closely resemble level perpetuities of $1.8 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. Required: 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. Round your answers to 1 decimal place.) Five-year Twenty-year Market Value million million b. What must be the face value of each of the two zeros to fund the plan? (Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places.) Five-year Twenty-year Face Value million million
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 $1.8 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.Required: 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. Round your answers to 1 decimal place.) Market Value Five-Year ___ Million Twenty-Five Year ___ Million b. What must be the face value of each 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-Five Year ___ Million
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 $2.0 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. Required: 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. Round your answers to 1 decimal place.) Five-year Twenty-year Market Value Five-year Twenty-year million million b. What must be the face value of each 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 million million
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.Required: 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. Round your answers to 1 decimal place.) Market Value Five year: Twenty year: b. What must be the face value of each 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: Twenty year:
Consider a pension plan that will pay $10,000 once a year for a 5-year period (5 annual payments). The first payment will come in exactly 5 years (at the end of year 5) and the last payment in 9 years (at the end of year 9). a. What is the duration of the pension obligation? The current interest rate is 9% per year for all maturities. b. To generate the scheduled pension payments, the pension fund wants to invest the present value of the future payouts in bonds and match the duration of its obligation in part a). If the fund uses 5-year and 10-year zero-coupon bonds to construct its investment position, how much money (dollar amount) ought to be placed in each bond now? What should be the total face value (not current market value) of each zero coupon bond held? c. Right after the fund made its investment outlined in part b), market interest rates for all maturities dropped from 9% p.a.to 8% p.a. Show that the investment position constructed in part b) can still approximately fund the…
You manage a pension fund that will provide retired workers with lifetime annuities. You expect a large number of workers to retire in 8 years. You have the following two bonds to invest in and immunize this portfolio. Inputs Bond A Bond B Settlement date 01-01-2020 01-01-2020 Maturity date 01-01-2025 01-01-2040 Coupon rate 0.025 0.0000 Face Value $1,000.00 $1,000.00 Coupons per year 1 1 Obligation Time to Payout 8 Payout $50,000,000 Initial Yield to Maturity 0.0750 Required: Using any necessary data above, calculate the Present value and Macaulay Duration of the obligation. Assume annual payments. Then calculate the Macaulay Duration and the Modified Duration for each bond. Use this information to immunize the portfolio. Then, re-immunize the portfolio 1 year later using the new yield.
Leaf Products may issue a 10-year maturity fixed-income security, which might include a sinking fund provision and either refunding or call protection.a. Describe a sinking fund provision.b. Explain the impact of a sinking fund provision on:i. The expected average life of the proposed security.ii. Total principal and interest payments over the life of the proposed security.c. From the investor’s point of view, explain the rationale for demanding a sinking fund provision.
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 do do % %
d) If the pension fund you manage expects to have an inflow of $200 million 12 months from now what forward contract would you seek to enter into to lock in current interest rates? 30
Consider the following hypothetical investment for the fund. Issue a one-month liability and purchase a $1,000, 15-year, 5% coupon Treasury bond. Assume that the one-month interest rate is currently 2% and that the 15-year interest rate is currently 5%. How much in liabilities would the fund have to issue to finance the purchase of the Treasury bond? At the end of one year the fund has received the coupon-interest payment on the bond and paid interest on its short-term liabilities. What is the net earnings for the fund for that year? What is the value of the bond investment at the end of the year (there are 14 years to maturity remaining on the bond) assuming that the long-term rate is still 5%? What is the net asset value (market value of assets minus liabilities) of the fund?
A pension plan is obligated to make disbursements of $1.9 million, $2.9 million, and $1.9 million at the end of each of the next three years, respectively. The annual interest rate is 11%. 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?
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 $2.24 million per year. The yield to maturity on all bonds is 14%. (a). Assume the duration of six-year maturity bonds with coupon rates of 10% (paid annually) is 5 years, and the duration of 22-year maturity bonds with coupon rates of 7% (paid annually) is 11 years. Calculate how much of each of these two coupon bonds (in market value) you will want to hold in order to both fully fund and immunize your obligation. (b). Calculate the total par value of your holdings in the six-year maturity coupon bond. Please show working

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