Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 25P
Suppose you are given the following information about the default-free, coupon-paying yield curve:
- a. Use arbitrage to determine the yield to maturity of a two-year. zero-coupon bond.
- b. What is the zero-coupon yield curve for years 1 through 4?
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Suppose you observe the following effective annual zero-coupon bond yields: 0.030 (1-year), 0.035 (2-year), 0.040 (3-year), 0.045 (4-year), 0.050 (5-year).
For each maturity year compute the zero-coupon bond prices, continuously compounded zero-coupon bond yields, the par coupon rate, and the 1-year implied forward rate. Show work and discuss your result.
Briefly discuss who uses Zero coupon bonds and why?
(a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remainunchanged. What will be the price of the consol today? (b) In the next period however, the interest rate changes unexpectedly to i'. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i'> i? (c) Suppose alternatively that the market expects that the interest rate will change to i' after the initial period. What is the initial value of the consol, and whatis the yield from selling it after one period?
Consider the zero coupon Treasury bond yield curve. Suppose a 1 year bond has a yield of 2.13%. The yield curve slopes downwards between maturities of 1 year and 3 years, and then slopes upwards. Which of the following must be true?
Group of answer choices
A) The yield of a zero coupon bond with maturity 5 years is higher than 2.13%.
B) A 1 year positive coupon bond must have a lower price than the zero coupon bond with the same maturity.
C) Bond purchasers believe the Fed will decrease rates in the short run, and then increase them in the long run.
D) The economy will be in a recession within 2 years.
E) C and D.
Chapter 6 Solutions
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
Ch. 6.1 - What is the relationship between a bonds price and...Ch. 6.1 - The risk-free interest rate for a maturity of...Ch. 6.2 - If a bonds yield to maturity does not change, how...Ch. 6.2 - Prob. 2CCCh. 6.2 - How does a bonds coupon rate affect its...Ch. 6.3 - How do you calculate the price of a coupon bond...Ch. 6.3 - How do you calculate the price of a coupon bond...Ch. 6.3 - Explain why two coupon bonds with the same...Ch. 6.4 - There are two reasons the yield of a defaultable...Ch. 6.4 - What is a bond rating?
Ch. 6.5 - Why do sovereign debt yields differ across...Ch. 6.5 - What options does a country have if it decides it...Ch. 6 - A 30-year bond with a face value of 1000 has a...Ch. 6 - Assume that a bond will make payments every six...Ch. 6 - The following table summarizes prices of various...Ch. 6 - Suppose the current zero-coupon yield curve for...Ch. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Suppose a five-year, 1000 bond with annual coupons...Ch. 6 - Prob. 8PCh. 6 - Explain why the yield of a bond that trades at a...Ch. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Consider the following bonds: Bond Coupon Rate...Ch. 6 - Prob. 14PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Suppose you are given the following information...Ch. 6 - Prob. 26PCh. 6 - Grumman Corporation has issued zero-coupon...Ch. 6 - The following table summarizes the yields to...Ch. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - A BBB-rated corporate bond has a yield to maturity...Ch. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - Prob. 35P
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- Suppose there is a large probability that L will default on its debt. For the purpose of this example, assume that the value of Ls operations is 4 million (the value of its debt plus equity). Assume also that its debt consists of 1-year, zero coupon bonds with a face value of 2 million. Finally, assume that Ls volatility, , is 0.60 and that the risk-free rate rRF is 6%.arrow_forwardSuppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?arrow_forwardAssume that Temp Force has a beta coefficient of 1.2, that the risk-free rate (the yield on T-bonds) is 7.0%, and that the market risk premium is 5%. What is the required rate of return on the firms stock?arrow_forward
- What is the stand-alone risk? Use the scenario data to calculate the standard deviation of the bonds return for the next year.arrow_forwardGiven relatively stable financial market conditions, determine which one of the followingbonds would exhibit the least price volatility? Briefly, explain why?a. 15-year,15% coupon bondb. 5-year, 10% coupon bondc. 15-year, 10% coupon bondd. 5-year, 15% coupon bondarrow_forwardAssume 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 7.00% 7.60% 7.90% 8.30% 8.70% What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 7.00%? Why? What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 7.00%? A. One year B. Two years C. Three years D. Four years E. Five yearsarrow_forward
- Which of the following statements is CORRECT? a. If a coupon bond is selling at par, its current yield equals its yield to maturity. b. If a coupon bond is selling at a discount, its price will continue to decline until it reaches its par value at maturity. c. If interest rates increase, the price of a 10-year coupon bond will decline by a greater percentage than the price of a 10-year zero coupon bond. d. If a bond's yield to maturity exceeds its annual coupon, then the bond will trade at a premium. e. If a coupon bond is selling at a premium, its current yield equals its yield to maturity.arrow_forward****THIS IS A DIFFERENT QUESTION********* 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 5.70% 6.20% 6.40% 6.60% 6.80% What is the price of a three-year, default-free security with a face value of $1,000 and an annual coupon rate of 3%? 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 3%? The price is $______________ (Round to the nearest cent.)arrow_forwardThe following table summarizes the prices of various default-free zero-coupon bonds (expressed as a percentage of the face value): a. Compute the yield to maturity for each bond. b. Plot the zero-coupon yield curve (for the first five years). c. Is the yield curve upward sloping, downward sloping, or flat?arrow_forward
- (a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? (b) In the next period however, the interest rate changes unexpectedly to i 0 . What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i 0 > i? (c) Suppose alternatively that the market expects that the interest rate will change to i 0 after the initial period. What is the initial value of the consol, and what is the yield from selling it after one period?arrow_forwarda) You hold a consol that pays a coupon in perpetuity. The current interest rate is i , and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? b) In the next period however, the interest rate changes unexpectedly to i 0. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if 0 > i?arrow_forwardSuppose the current zero-coupon yield curve for risk-free bonds is as follows:Maturity (years) 1 2 3 4 5YTM 4.14% 4.55% 4.78% 4.99% 5.37% What is the price per $100 face value of a three-year, zero-coupon, risk-free bond? What is the price per $100 face value of a four-year, zero-coupon, risk-free bond? What is the risk-free interest rate for a four-year maturity?arrow_forward
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