Assume the zero-coupon yields on default-free securities are as summarized in the following table: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Zero-coupon YTM 1 6.70% 2 7.10% 3 7.30% 4 7.70% 5 8.00% What is the price of a three-year, default-free security with a face value of $1,000 and an annual coupon rate of 5%? What is the yield to maturity for this bond? What is the price of a three-year, default-free security with a face value of $1,000 and an annual coupon rate of 5%? The price is $ (Round to the nearest cent.)

Assume the zero-coupon yields on default-free securities are as summarized in the following table: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Zero-coupon YTM 1 6.70% 2 7.10% 3 7.30% 4 7.70% 5 8.00% What is the price of a three-year, default-free security with a face value of $1,000 and an annual coupon rate of 5%? What is the yield to maturity for this bond? What is the price of a three-year, default-free security with a face value of $1,000 and an annual coupon rate of 5%? The price is $ (Round to the nearest cent.)

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 the following maturity / yield to maturity for all treasuries. Interest compounds semiannually. Term to Maturity (years) Yield to Maturity or Coupon Rate 0.5 4.50% 1.0 5.00% 1.5 5.50% 2.0 6.00% 2.5 6.50% a) Which, if any, of these securities are zero coupon securities b) Why isn’t the 1.5 year spot rate equal to 5.5% c) Calculate the 1.5 year spot rate.
Using the expectations hypothesis theory for the term structure of interest rates, determine the expected return for securities with maturities of two, three, and four years based on the following data. Note: Input your answers as a percent rounded to 2 decimal places. 1-year T-bill at beginning of year 1 1-year T-bill at beginning of year 21 1-year T-bill at beginning of year 3 1-year T-bill at beginning of year 4 2-year security 3-year security 4-year security Expected Return % % % Interest Rate 7% 9% 10% 12%
You observe that one, two, and three-year maturity, default-free, zero-coupon bonds have YTM of 7%, 7.8%, and 7.5%, respectively. Based on the expectations theory, what is the implied one-year forward rate, two years from today? ⒸA. 8.62% OB 6.90% OC.8.12% O 0.7.39%
The term structure for zero-coupon bonds is currently: Maturity (Years) YTM (%) 1 5.2% 2 6.2 3 7.2 Next year at this time, you expect it to be: Maturity (Years) YTM (%) 1 6.2% 2 7.2 3 8.2 Required: What do you expect the rate of return to be over the coming year on a 3-year zero-coupon bond? Under the expectations theory, what yields to maturity does the market expect to observe on 1- and 2-year zeros at the end of the year? Is the market's expectation of the return on the 3-year bond greater or less than yours?
You observe the following yield curve for Treasury securities: Maturity Yield 1 Year 4.80% 2 Years 6.00% 3 Years 6.70% 4 Years 7.20% 5 Years 7.90% Assume that the pure expectations hypothesis holds. What does the market expect will be the yield on 4-year securities, 1 year from today? O 8.68% O 8.18% 6.68% 7.68% O 7.18%
Use the following information to answer the question(s) below. Suppose that a default-risk-free zero-coupon bond with a face value of $100 and 5 years to maturity is currently trading at $60. Another bond with the same face value and time to maturity but at risk of defaulting sells for $30. (If this risky bond defaults, there is a 70% chance that 30% of the face value will be recovered and a 30% chance that 50% of the face value will be recovered.) Also, suppose the spread between the expected zero rates of the two bonds is 5% pa. What must be the default probability of the second bond (risky bond)? Choose the closest answer. O 47.66% 58.82% 37.32% None of the other answers are correct. O 67.23%
1. Consider a bond market where the demand for a particular bond is given by the equatione Bd = 2360 – 0.8P< where Bd is the number of bonds demanded and P is the price of the bond. Suppose the supply of this bond is fixed at 1400. (a) Calculate the price of the bonde (b) Suppose the bond is a consol with an annual coupon of 45. What is the yield on this security?
The yield curve for default-free zero-coupon bonds is currently as follows: Maturity (years) YTM 1 9.8% 2 10.8 3 11.8 Required: a. What are the implied one-year forward rates? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Maturity (years) YTM Forward rate 1 9.8% 2 3 10.8% 11.8% % % b. Assume that the pure expectations hypothesis of the term structure is correct. If market expectations are accurate, what will the pure yield curve (that is, the yields to maturity on one- and two-year zero-coupon bonds) be next year? O There will be a shift upwards in next year's curve. O There will be a shift downwards in next year's curve. O There will be no change in next year's curve. c. What will be the yield to maturity on two-year zeros? (Do not round intermediate calculations. Round your answers to 2 decimal places.) YTM % d. If you purchase a two-year zero-coupon bond now, what is the expected total rate of return over the next year? (Hint: Compute the current…
Calculate the Modified Duration of the following securities: 10 % semi-annual coupon maturating in 5 years trading at a yield of 8 % 6 % annual coupon maturating in 9 years trading at a yield of 8 % Also, please explain what is convexity as it applies to one of the above securities
Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a 3.0% coupon if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 3.0% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) Note: Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places. Economy Boom Normal Growth Recession Probability 0.30 0.60 0.10 YTM 10.0% 8.0 % 7.0 % Price Capital Gain Coupon Interest HPR % % %
2
← Suppose a seven-year, $1,000 bond with an 8.4% coupon rate and semiannual coupons is trading with a yield to maturity of 6.65%. a. Is this bond currently trading at a discount, at par, or at a premium? Explain. b. If the yield to maturity of the bond rises to 7.05% (APR with semiannual compounding), what price will the bond trade for? a. Is this bond currently trading at a discount, at par, or at a premium? Explain. (Select the best choice below.) O A. Because the yield to maturity is less than the coupon rate, the bond is trading at a premium. B. Because the yield to maturity is greater than the coupon rate, the bond is trading at par. OC. Because the yield to maturity is greater than the coupon rate, the bond is trading at a premium. D. Because the yield to maturity is less than the coupon rate, the bond is trading at a discount.

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