steel Pier Company has issued bonds that pay semiannually Coupon Yield to Maturity Maturity McCaulay Duration 10% 10% 10 years 6.76 years the following the bond's coupon was smaller than 10%, the modified duration would be The answer depends on the original modified duration. Unchanged O Larger There is not enough information to determine the direction of change Smaller istic compared to th

steel Pier Company has issued bonds that pay semiannually Coupon Yield to Maturity Maturity McCaulay Duration 10% 10% 10 years 6.76 years the following the bond's coupon was smaller than 10%, the modified duration would be The answer depends on the original modified duration. Unchanged O Larger There is not enough information to determine the direction of change Smaller istic compared to th

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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Prices of zero-coupon bonds reveal the following pattern of forward rates: Year 1 2 3 Forward Rate 4% 5 6 In addition to the zero-coupon bond, investors also may purchase a 3-year bond making annual payments of $40 with par value $1,000. Required: a. What is the price of the coupon bond? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. What is the yield to maturity of the coupon bond? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. Under the expectations hypothesis, what is the expected realized compound yield of the coupon bond? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. d. If you forecast that the yield curve in 1 year will be flat at 5.5%, what is your forecast for the expected rate of return on the coupon bond for the 1-year holding period? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. a. Price b. Yield to maturity c.…
Using formulas, no tables correct answers: i) i17.3746% pa i2=8.981% pa i3=6.4562% pa ii) i(c3) 6.5764% pa In a market where spot rates apply, the two-year forward rate of interest at time t = 1 is 6% per annum effective. The issue price per £100 nominal of a two-year fixed interest bond that pays annual coupons of 4% in arrears and is redeemed at 105% is £95.5. At the same time, the issue price per £100 nominal of a three-year fixed interest bond that pays 6% in arrears and is redeemed at par is £98.5. (i) Calculate all possible annual spot-rates. (ii) Calculate the three-year par yield.
Bond J has a coupon rate of 5 percent. Bond K has a coupon rate of 15 percent. Both bonds have eight years to maturity, a par value of $1,000, and a YTM of 11 percent, and both make semiannual payments. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. b. If interest rates suddenly fall by 2 percent instead, what is the percentage change in the price of these bonds? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. a. Percentage change in price b. Percentage change in price Bond J % % Bond K % %
7. Valuing semiannual coupon bonds Bonds often pay a coupon twice a year. For the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. Using the values of cash flows and number of periods, the valuation model is adjusted accordingly. Assume that a $1,000,000 par value, semiannual coupon US Treasury note with three years to maturity has a coupon rate of 3%. The yield to maturity (VTM) of the bond is 7.70%. Using this information and ignoring the other costs involved, calculate the value of the Treasury note: O $876,205.93 O $1,051,447.12 O $744,775.04 $552,009.74 Based on your calculations and understanding of semiannual coupon bonds, complete the following statement: The T-note described in this problem is selling at a
Yield to Maturity and Call with Semiannual Payments Thatcher Corporation's bonds will mature in 18 years. The bonds have a face value of $1,000 and an 8.5% coupon rate, paid semiannually. The price of the bonds is $950. The bonds are callable in 5 years at a call price of $1,050. What is their yield to maturity? What is their yield to call? Do not round intermediate calculations. Round your answers to two decimal places.
Consider a bond selling at par with modified duration of 10.6 years and convexity of 210. A 2% decrease in yield would cause the price to increase by 21.2%, according to the duration rule. What would be the percentage price change according to the duration-with-convexity rule? O [A] 21.2% O [B] 25.4% O [C] 17.0% O [D] 10.6%
Bond The effect of coupon rate (PMT) on interest rate sensiti 10-year, 10% annual coupor 10-year, 20% annual coupon 10-year, zero coupon 0 The effect of time to maturity on interest rate sensitivit 10-year, 15% annual coupon 5-year, 15% annual coupon Price @YTM-8% Price @YTM= 7% Percentage Change in price 1134.21 1210.66 6.74 463.2 508.3 9.74
A newly issued 20-year-maturity, zero-coupon bond is issued with a yield to maturity of 8.7% and face value $1,000. Required: Find the imputed interest income in the first, second, and last years of the bond's life. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Answer is not complete. Imputed Interest First year Second year Last year $ 87.00 X
None
Bond Prices and Interest Rate Changes A 7.75 percent coupon bond with 18 years left to maturity is priced to offer a 7.25 percent yield to maturity. You believe that in one year, the yield to maturity will be 7.5 percent. If this occurs, what would be the total return of the bond in percent? (Assume interest payments are semi-annual.) O 3.7% 4.9% 7.4% 7.5%
Question 2 Assume the yield curve is flat shown as following table. A cash and $duration-neutral butterfly is to be constructed by selling one thousand 7-year coupon paying bonds and purchasing qs and ql coupon paying bonds with maturities 3 and 15 years respectively. More information on the bonds to be used in the strategy is given Note that we are assuming all bonds pay interest semi-annually. (a) Explain how to interpret the modified duration of -8.86 corresponding to the 15-year maturity bond. (b) Write down the system of equations that needs to be solved in order to find qs and ql and verify that the solution to this system is qs = 679.32 and ql =366.23. (c) Find the profit from this strategy if yield curve moves: (i) up to 8% pa and (ii) down to 5% pa. (d) Explain why in practice it may be difficult to profit from the cash and $duration neutral butterfly. (e) Explain the major differences between the 50-50 butterfly strategy and the cash and $duration neutral butterfly.
Valuing semiannual coupon bonds Bonds often pay a coupon twice a year. For the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. Using the values of cash flows and number of periods, the valuation model is adjusted accordingly. Assume that a $1,000,000 par value, semiannual coupon U.S. Treasury note with three years to maturity has a coupon rate of 3%. The yield to maturity (YTM) of the bond is 11.00%. Using this information and ignoring the other costs involved, calculate the value of the Treasury note: $504,112.64 $800,178.79 $960,214.55 $680,151.97 Based on your calculations and understanding of semiannual coupon bonds, complete the following statements: • Assuming that

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