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 $3.0 million per year to beneficiaries. The yield to maturity on all bonds is 20%. Required: 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 of 7% (paid annually) is 6.5 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? (Do not round intermediate calculations. Enter your answers in millions rounded to 5 decimal places.) × Answer is complete but not entirely correct. Holdings 5-year bond 20-year bond $ 1.60000 $ 22.20000 million million b. What will be the par value of your holdings in the 20-year coupon bond? (Enter your answer in dollars not in millions. Do not round intermediate calculations. Round your answer to the nearest dollar amount.) Answer is complete but not entirely correct. Par value $ 41 x

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 $3.0 million per year to beneficiaries. The yield to maturity on all bonds is 20%. Required: 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 of 7% (paid annually) is 6.5 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? (Do not round intermediate calculations. Enter your answers in millions rounded to 5 decimal places.) × Answer is complete but not entirely correct. Holdings 5-year bond 20-year bond $ 1.60000 $ 22.20000 million million b. What will be the par value of your holdings in the 20-year coupon bond? (Enter your answer in dollars not in millions. Do not round intermediate calculations. Round your answer to the nearest dollar amount.) Answer is complete but not entirely correct. Par value $ 41 x

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

Problem 1PS

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We would like you to take a role of a fixed income specialist and provide advice to a friend who has an investment problem. Suppose your friend has some savings and they are thinking about investing them in bonds for a period of two years. They are considering the following two bonds that are currently available on the market: four-year bond with face value $10,000, coupon rate 6%, paying coupons annually eight-year bond with face value $10,000, coupon rate 10%, paying coupons annually Assume that the term structure of interest rates is the following: r1=1%, r2=3%, r3=5%, r4=7%, r5=8%, r6=8.5%, r7=9%, r8=9.2%. Assume also that in two years there are two different possible states of the world with equal probability: all interest rates stay at the same level or all interest rates increase by 1% Your friend wants you to tell them the rate of return they could earn on each of the above two bonds over the period of two years. They also ask for advice about which bond to select for…
Today is 16 December 2021. A pension fund has a $50 million obligation due exactly 7 years from now and pays 3% interest (compounded annually) on this obligation. Assume that the term structure is flat. How many AAPL and MSFT bonds should the pension fund buy to form a portfolio that will ensure that the pension fund will meet its obligation in 7 years' time? AAPL bond has a modified duration of 19.85 and MSFT bond has a modified duration of 3.65. Use the information provided in the table below. Note that the quoted price is the clean price. MSFT AAPL Price ($) Yield (%) Par value ($) Modified duration (%) Last coupon date Coupon frequency Day count principle Maturity 1065.597 967.606 3 1,000 3.65 1,000 19.85 03 May 2021 annually 30/360 08 Aug 2021 annually 30/360 08 Aug 2050 03 May 2025
Calculate out the present value of the following bond contract: Coupon payments of $ 65,000 at the end of each year for the next 25 years with annual compounding S 1,000,000 principal payment at the end of the 25th year The annual market rate of interest is 7% Round to the nearest dollar. Please note that this question has a numeric format, so commas will be placed automatically in the answer (this will not result in a wrong answer).
Suppose Home Depot issues 30-year bonds on which it pays a 4.00% (nominal) interest rate. Further, suppose that both Home Depot and the purchasers of its bonds anticipate inflation will average 2.00% during the life of the loan. Now suppose the inflation rate after the loan is made (i.e. after the bond is purchased) is actually 1.00% per annum. It follows that the actual real rate of interest is and, ceteris paribus, are (is) better off than anticipated as a result of the difference between the anticipated and the actual rate of inflation. Select one: a. 2.00%, Bondholders b. 2.00%, Home Depot O c. 3.00%, Bondholders d. 3.00%, Home Depot
Assume you can buy a bond that has a par value of $1000, matures in 10 years, yielding 6% and has a duration of 5. If you would like to use this bond to form a guaranteed investment contract “GIC” and offer a guaranteed rate of return to investors for certain years. a. what is the maximum yield you can offer? Why? Explain. b. For how many years would you make the guarantee? Explain.
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 $15,000 bond with a coupon rate of 4% compounded semi-annually is redeeemable on February 1, 2024. It was purchased on June 13, 2018 when the yield rate was 5% compounded semi-annually. What is the purchase price of the bond?
OLL Ltd has just issued a perpetual (that is, non-maturing) financial security that is expected to pay an annual coupon of $120 next year. This coupon will then decline at a rate of 2% per annum forever. If the interest rate on this security is 8% p.a., its price today should be closest to: Group of answer choices $1,200. $1,500. $2,000. $6,000.
PLEASE GIVE ME THE CORRECT ANSWER 7)A pension plan is obligated to make disbursements of $1 million, $2 million, and $1 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? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Portfolio Investment in one-year zero-coupon bonds % Investment in perpetuity % 15)Find the duration of a bond with settlement date May 27, 2023, and maturity date November 15, 2032. The coupon rate of the bond is 7%, and the bond pays coupons semiannually. The bond is selling at a yield to maturity of 8%. Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Macaulay duration:????? Modified…
Suppose a bank enters a repurchase agreement in which it agrees to buy Treasury securities from a correspondent bank at a price of $31,950,000, with the promise to buy them back at a price of $32,000,000. a. Calculate the yield on the repo if it has a 5-day maturity. b. Calculate the yield on the repo if it has a 15-day maturity. (For all requirements, use 360 days in a year. Do not round intermediate calculations. Round your percentage answers to 5 decimal places. (e.g., 32.16161)) a. b. X Answer is complete but not entirely correct. Yield on the repo Yield on the repo 1.02857 % 0.34286 %
Suppose your firm issues a €100,000,000 5-year bond with a coupon rate of 8% per annum (assume annual compounding). The bond will sell at face value to investors. The underwriting spread is an up-front fee of 2%. What is the actual cost of this debt? Please enter your answer as % -- e.g. if your answer is 2.34% type in 2.34.
An insurance company must make payments to a customer of $10 million in one year and $5 million in five years. The yield curve is flat at 10%. Required: a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. What must be the face value and market value of that zero-coupon bond? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. a. Maturity of zero coupon bond b. Face value b. Market value years million million

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