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 $1.8 million per year. The interest rate is 10%. You plan to fully fund the obligationusing 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 notround intermediate calculations. Enter your answers in millions. Round your answers to 1 decimal place.)Five-yearTwenty-yearMarket Valuemillionmillionb. What must be the face value of each of the two zeros to fund the plan? (Do not round intermediate calculations. Enter youranswers in millions rounded to 2 decimal places.)Five-yearTwenty-yearFace Valuemillionmillion

b. Face Value of Zeros:Since these are zero-coupon bonds, their face value is equal to their market…

Answered: You manage a pension fund that will…

Personal Finance

13th Edition

ISBN:9781337669214

Author:GARMAN

Publisher:GARMAN

Chapter15: Mutual And Exchange Traded Funds

Section: Chapter Questions

Problem 6FPC

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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 $1.4 million per year. The interest rate is 8%. 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?
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:
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 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
pension funds pay lifetime annuities to recipients. if a firm will remain 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 million per year to beneficiaries. the yield to maturity on all bonds is 15%. a. if the duration of 5-year maturity bonds with coupon rates of 11% (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?
A pension fund faces a promised outflow of $5 million in 6 years. Its managers plan to dedicate a portfolio comprised of the following two bonds to meet this obligation. a. What must be the proportions ((W7, W6) or (Weight(A), Weight(B)) of the two bonds in this 2-security portfolio to immunize it against changes in interest rates? b. What is the yield to maturity for the immunized portfolio? c. How much needs to be invested in each bond to build an immunized portfolio with an expected value of $5 million in 6 years? d. Suppose that it is now 3 years later and that there has been a parallel increase in interest rates of 2%. Explain how immunization at least partially protects this portfolio. That is, what are the sources of losses and gains associated with each of the bonds caused by the increase in interest rates? How do they offset each other?
As a pension fund manager, you anticipate that you have to pay out 8 percent on $100 million for the next eight years. The payment is made semi-annually. You currently hold $100 million of floating-rate note that pays LIBOR + 2.5 percent. What is your potential risk? To eliminate or reduce your risk, you arrange a swap with a dealer who agree to pay you 6 percent fixed, while you pay him LIBOR. The swap payment is made semi-annually as well. Determine your cash flow as a percent of notional amount at each payment date under this arrangement and assess if you have sufficient cash flow to pension fund holder
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.
A pension fund faces a promised outflow of $5 million in 6 years. Its managers plan to dedicate a portfolio comprised of the following two bonds to meet this obligation. d. Suppose that it is now 3 years later and that there has been a parallel increase in interest rates of 2%. Explain how immunization at least partially protects this portfolio. That is, what are the sources of losses and gains associated with each of the bonds caused by the increase in interest rates? How do they offset each other?
Suppose that a pension fund manager anticipates the purchase of a 20-year 8 percent coupon T-bond at the end of two years. Interest rates are assumed to change only once every year at year end. At that time, it is equally probable that interest rates will increase or decrease 1 percent. When purchased in two years, the T-bond will pay interest semiannually. Currently, it is selling at par a. What is the pension fund manager’s interest rate risk exposure? b. How can the pension fund manager use options to hedge that interest rate risk exposure?
Suppose you retire with $1million at age of 65. You plan to invest your retirement into a mixture of a riky fund and a fixed income fund, where the return of the risky fund follows a normal distribution. You plans to withdraw $150,000 at the end of every year from this accout. To prevent overwithdrawal at the end, you put a safety cushion of 3 If balance of the retirement fund at the end of year, before annual withdrawal is less than 3 times the planned annual withdrawal amount, you withdraw one-third of the remaining balance. (Hint: use IF function) You want to find out how much you are left at the age of 75. Simulate one time to find out the remaining balance at the age of 17 ( 10 years later) Simulate 100 times, find out average, standard deviation, along with probabilty of the remaining fund is positive.
You have $5,000 to invest for the next year and are considering three alternatives:a. A money market fund with an average maturity of 30 days offering a current yield of 6% per year.b. A 1-year savings deposit at a bank offering an interest rate of 7.5%.c. A 20-year U.S. Treasury bond offering a yield to maturity of 9% per year.What role does your forecast of future interest rates play in your decisions?

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