A fixed income hedge fund manager is considering three bonds about tobe issued by an automobile manufacturer. The first is a 10-year, 5.5%semi-annual coupon payment bond. The second is a 20-year, 3% semi-annual coupon payment bond. The third one is a perpetual 4% semi-annual coupon payment bond. All bonds are expected to trade at parvalue at issuance. Calculate the approximate modified duration andapproximate convexity for each bond using a 10 bp increase and decreasein the annual yield-to-maturity. Retain accuracy to six decimals per 100 ofpar value.

To solve for **approximate modified duration** and **approximate convexity** for each bond under a…

Answered: A fixed income hedge fund manager is…

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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Consider a $1,000-par-value Bond with the following characteristics: a current market price of $761, 12 years until maturity, and an 8% coupon rate. We want to determine the discount rate that sets the present value of the bond’s expected future cash-flow stream to the bond’s current market price. You are required to determine the discount rate that equates the present value of the bond?
Consider a 10-year bond with a face value of $1,000 that has a coupon rate of 5.8%, with semiannual payments.
Compute the Macaulay duration under the following conditions: a. A bond with a four-year term to maturity, a 10 percent coupon (annual payments), and a market yield of 8 percent. b. A bond with a four-year term to maturity, a 10 percent coupon (annual payments), and a market yield of 12 percent. c. Compare your answers to parts (a) and (b), and discuss the implications of this for classical immunization.
9. Interest Rate Risk. Suppose that you are a fixed income portfolio manager at Bourbon Street Capital. You have the following bonds issued by Royal, Inc. and Chartres, LLC in your portfolio and you want to understand the risk profile of your portfolio. Given that both bonds pay semiannual coupons, answer the following questions. (Remember to convert your answer to units of full years.) Coupon Yield to maturity Maturity (years) Royal, Inc. Chartres, LLC. Bond A Bond B 9% 8% 5 $100.00 $104.055 8% 8% 2 Par $100.00 Price $100.00 (a) What is the DV01 (at current prices) for bonds A and B? (b) What are the Macaulay Durations (at current prices) for the two bonds? (c) What are the modified durations for the two bonds? (d) What is the convexity of the two bonds?
Lantech investor is deciding between two bonds: Bond A pay $72 annual interest and has a market value of $925. It has 10 years to maturity. Bond B pays $62 annual interest and has a market value of $910. It has two years to maturity. Par value of the bonds is $1,000. A. What is the current yield on both bonds? B. Which bond should be chosen and why? C. A drawback of current yield is that is doesn't consider the total life of the bond. E.g. Yield to maturity on Bond A is 8.33 percent. What is the yield to maturity on Bond B? D. Is your answer changed from parts B and C based on which bond should be chosen?
Required:(i) Calculate the bond durations for Bond A and Bond B respectively using a table format.Show the formulas and workings in each column. (ii) Determine the investment decision based on the market expectation and your answer in part (i) above.
You are given the following concerning a non-callable, sinking fund debenture bond (refer to image). a.) If you buy the bond today at its face amount and interest rates rise to 12 percent after five years have passed, what is your capital gain or loss? b.) What is the bond's current yield after five years? c.) Given your price in A, what is the current yield to maturity? d.) Is there any reason to believe that the bond will be called after five years have elapsed if interest rates decline?
Need help finding the current yield for both bond P and D, & the capital yield gains for both bonds P and D. Thank you in advance
NBP Sarmaya Izafa Fund is attempting to balance one of the bond portfolios under its management. The fund has identified three bonds which have five-year maturities and which trade at a YTM of 9 percent. The bonds differ only in that the coupons are 7 percent, 9 percent, and 11 percent. What does the concept of duration mean in context of security valuation? On what factors duration of a bond depends and what relation duration has with those factors? Calculate the duration of the tree bonds as described in para above. Plot the relation between duration and coupon rate.
The current zero-coupon yield curve for risk-free bonds is as follows: What is the price per $100 face value of a two-year, zero-coupon, risk-free bond? The price per $100 face value of the two-year, zero-coupon, risk-free bond is $ (Round to the nearest cent.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) YTM 1 5.00% 2 5.50% 3 5.75% 4 5.95% 5 6.05% -
Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate bond. The current real risk-free rate is 3%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Corporate Bond Yield Rate Spread = DRP + LP U.S. Treasury 0.73 % — AAA corporate 0.93 0.20 % AA corporate 1.33 0.60 A corporate 1.75 1.02 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: 6.553%----->correct 7-year Corporate yield: ? %…
Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate bond. The current real risk-free rate is 3%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Corporate Bond Yield Rate Spread = DRP + LP U.S. Treasury 0.73 % — AAA corporate 0.93 0.20 % AA corporate 1.33 0.60 A corporate 1.75 1.02 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: 10.533 % 7-year Corporate yield: 9.597% Given…

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