Assume the zero-coupon yields on default-free securities are as summarized in the following table: in order to copy its contents into a spreadsheet.) Maturity (years) 1 2 3 4 5 Zero-coupon YTM 6.00% 6.40% 6.70% 7.10% 7.40% What is the price of a five-year, zero-coupon, default-free security with a face value of $1,000? (Click on the

Assume the zero-coupon yields on default-free securities are as summarized in the following table: in order to copy its contents into a spreadsheet.) Maturity (years) 1 2 3 4 5 Zero-coupon YTM 6.00% 6.40% 6.70% 7.10% 7.40% What is the price of a five-year, zero-coupon, default-free security with a face value of $1,000? (Click on the

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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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. (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 2 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 58 78 10% 128
1.A particular security’s default risk premium is 3 percent. For all securities, the inflation risk premium is 2.65 percent and the real risk-free rate is 1.50 percent. The security’s liquidity risk premium is 0.35 percent and maturity risk premium is 0.95 percent. The security has no special covenants. Calculate the security’s equilibrium rate of return. (Round your answer to 2 decimal places.) 2. A particular security’s default risk premium is 2 percent. For all securities, the inflation risk premium is 1.75 percent and the real risk-free rate is 1.50 percent. The security’s liquidity risk premium is 0.25 percent and maturity risk premium is 0.85 percent. The security has no special covenants. Calculate the security’s equilibrium rate of return. (Round your answer to 2 decimal places.)
Prices of zero-coupon, default-free securities with face values of $1,000 are summarized in the following table: Maturity (years) Price (per $1,000 face value) 2 3 $974.35 $940.69 $909.35 Suppose you observe that a three-year, default-free security with an annual coupon rate of 10% and a face value of $1,000 has a price today of $1,189.52. Is there an arbitrage opportunity? If so, show specifically how you would take advantage of this opportunity. If not, why not? Is there an arbitrage opportunity? (Select the best choice below.) O A. Yes O B. No O C. Not enough information.
The promised cash flows of three securities are listed below. If the cash flows are risk-free, and the risk-free interest rate is 4.5%, determine the no-arbitrage price of each security before the first cash flow is paid. (Click on the following icon in order to copy its contents into a spreadsheet.) Security A B C Cash Flow Today (S) 700 0 1,400 The no-arbitrage price of security A is S Cash Flow in One Year ($) 700 1,400 0 (Round to the nearest cent.)
Assume the zero-coupon yields on default-free securities are as summarized in the following table: Maturity 1 year 2 years 3 years 4 years 5 years Zero-Coupon Yields 4.0% 4.3% 4.5% 4.7% 4.8% What is the price today of a two-year, default-free security with a face value of $1,000 and an annual coupon rate of 6%? Does this bond trade at adiscount, at par, or at a premium? What is the price today of a two-year, default-free security with a face value of $1,000 and an annual coupon rate of 6%? The price is $_____. (Round to the nearest cent.)
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%
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%
Assume the zero-coupon yields on default-free securities are as summarized in the following table: 3 years 4 years 5 years Maturity 1 year 2 years 7.00% 7.30% 6.20% 6.50% 6.70% Zero-Coupon Yields What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 6.20%? Why? What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 6.20%? (Select the best choice below.) O A. One year В. Тwo years C. Three years D. Four years E. Five years
3. The following is a list of prices for zero-coupon bonds with different maturities and par value of $1,000. Suppose the interest rate is compounded once per year. Maturity (Years) Price ($) 970 960 910 870 1 2 3 4 Answer the following questions: (a) What is, according to the expectations theory, the one-year interest rate in the second year? (b) What is, according to the expectations theory, the one-year interest rate in the third year? (c) What is, according to the expectations theory, the one-year interest rate in the forth year?
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…
Please see attached. Definition: Coupon is the regular interest payment of a bond.

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