Assume that a company issues a new bond with a coupon rate of 13 $110 par value bond. Coupon is paid annually. The band has three Calculate and interpret the Macaulay duration of this bond? (ii) Discuss about some possible limitations of the Macaulay duration.
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- 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.Consider a 10-year bond with a face value of $1,000 that has a coupon rate of 5.5%, with semiannual payments. a. What is the coupon payment for this bond? b. Draw the cash flows for the bond on a timelineCompute the Macaulay duration under the following conditions: a. A bond with a four-year term to maturity, a 10% coupon (annual payments), and a market yield of 8%. Do not round intermediate calculations. Round your answer to two decimal places. Assume $1,000 par value. _________ years b. A bond with a four-year term to maturity, a 10% coupon (annual payments), and a market yield of 12%. Do not round intermediate calculations. Round your answer to two decimal places. Assume $1,000 par value. _________ years c. Compare your answers to Parts a and b, and discuss the implications of this for classical immunization. As a market yield increases, the Macaulay duration -(Select:declines/increases) . If the duration of the portfolio from Part a is equal to the desired investment horizon the portfolio from Part b is -(Select: no longer/still) perfectly immunized. Only typed answer
- Suppose a bond with no expiration date has a face value of $10,000 and annually pays a fixed amount of interest of $750, calculate the interest rate that the bond would yield to a bond buyer. Show all work.Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Price $983.78 865.89 797.92 732.00 660.24 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4?Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4? Required A Price $940.93 Complete this question by entering your answers in the tabs below. 868.39 800.92 735.40 670.48 Required B Maturity (years) 2 3 Calculate the forward rate of interest for each year. Note: Round your answers to 2 decimal places. Required C Forward Rate % % Prov 12 of 12 Next
- Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Show Transcribed Text B) How could you construct a 1-year forward loan beginning in year 3? (Face Value) C) How could you construct a 1-year forward loan beginning in year 4? (Face Value) Required A Required B Complete this question by entering your answers in the tabs below. Face value Rate of synthetic loan → Show Transcribed Text Price $ 970.93 898.39 836.92 How could you construct a 1-year forward loan beginning in year 3? Note: Round your Rate of synthetic loan answer to 2 decimal places. Required A 776.20 685.42 Required B Face value Rate of synthetic loan Required C 7.85 % Required C How could you construct a 1-year forward loan beginning in year 4? Note: Round your Rate of synthetic loan answer to 2 decimal places. Ċ 13.29 %Find the duration of a bond with a settlement date of May 27, 2025, and maturity date November 15, 2036. The coupon rate of the bond is 8.0%, and the bond pays coupons semiannually. The bond is selling at a bond- equivalent yield to maturity of 8.0%. Use Spreadsheet 16.3 Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Macaulay duration Modified durationConsider the following risk-free bonds available for sale in the bond market (assume annual +Coupons). Bond's maturity Ask Price (per $100 of Coupon rate (in %) face value 1-year bond 100.0040 0.125% 2-year bond 101.2100 2% 3-year bond 101.2140 1.625% Construct the term structure of interest rates for these three periods. b. Your company plans to issue three-year maturity coupon bonds. Based on its excellent credit rating, your company pays a low constant 3% risk premium over the relevant term-structure rates. You plan to issue bonds priced at par (i.e. price = face value). At what level should you plan to set the coupon on your bond to justify this price? c. Now assume that your company wishes to issue 3-year zero coupon bonds. At what price will these bonds sell?
- (i) If investors have demanded an interest rate of 5 percent on the bond investment, what is the maximum prices to pay for the 1-year bond and 30-year bond? (ii) Suppose that the interest rate has increased to 20%, calculate the values of the 1-yearbond and 30-year bond.(iii) Based on the calculations in parts (b) (i) and (ii) above, explain with reasons thefundamental relationship between interest rates and bond maturity. (iv) Briefly explain the meaning of the terms “bond’s coupon rate”, “current yield”, and“yield to maturity”. (v) Explain why bonds have protective covenants.Consider a 20-year bond with a face value of $1,000 that has a coupon rate of 5.7%, with semiannual payments. a. What is the coupon payment for this bond? b. Draw the cash flows for the bond on a timeline. (Round to the nearest cent.)Assume that a bond will make payments every six months as shown on the following timeline (using six- month periods): Period Cash Flows a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value? $19.36 2 $19.36 CHE a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) 19 $19.36 20 $19.36+ $1,000