Corporate Finance
3rd Edition
ISBN: 9780132992473
Author: Jonathan Berk, Peter DeMarzo
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 6, Problem 13P
Consider the following bonds:
| Bond | Coupon Rate (annual payments) | Maturity (years) |
| A | 0% | 15 |
| B | 0% | 10 |
| C | 4% | 15 |
| D | 8% | 10 |
- a. What is the percentage change in the price of each bond if its yield to maturity falls from 6% to 5%?
- b. Which of the bonds A-D is most sensitive to a 1% drop in interest rates from 6% to 5% and why? Which bond is least sensitive? Provide an intuitive explanation for your answer.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Consider the following bonds.
Bond
A
B
с
D
Coupon Rate (annual payments)
0.0%
0.0%
3.5%
7.8%
Maturity (years)
10
15
15
10
Which of the bonds A to D is most sensitive to a 1% drop in interest rates from 6.7% to 5.7%? Which bond is least sensitive?
Provide an intuitive explanation for your answer.
Consider the following bonds: (Click on the following icon in order to copy its contents into a spreadsheet.)
Coupon Rate (annual payments)
Maturity (years)
13
0%
0%
12
2%
13
8%
12
Bond
A
B
C
D
a. What is the percentage change in the price of each bond if its yield to maturity falls from 8% to 7%?
b. Which of the bonds A through D is the most sensitive to a 1% drop in interest rates from 8% to 7% and why? Which bond is the least sensitive? Provide an intuitive explanation for your answer.
Note: Assume annual compounding.
a. What is the percentage change in the price of each bond if its yield to maturity falls from 8% to 7%?
The percentage change in bond A is 5.47%. (Round to two decimal places.)
The following information about bonds A, B, C, and D are given. Assume that bond prices admit noarbitrage opportunities. What is the convexity of Bond D?Cash Flow at the end ofBond Price Year 1 Year 2 Year 3A 91 100 0 0B 86 0 100 0C 78 0 0 100D ? 5 5 105
Chapter 6 Solutions
Corporate Finance
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 - Prob. 27PCh. 6 - Prob. 28PCh. 6 - Prob. 29PCh. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Prob. 33PCh. 6 - Prob. 34P
Additional Business Textbook Solutions
Find more solutions based on key concepts
The exchange rate, potential risk, transfer pricing, tax law differences and strategies are the items affects t...
Principles of Managerial Finance (14th Edition) (Pearson Series in Finance)
Assume Emerson Electric’s managers expect earnings to grow at 1 percent above the historical growth rate. How d...
Foundations of Finance (9th Edition) (Pearson Series in Finance)
Impact on SML and required rate of return Introduction: The security market line (SML) is a line, which shows t...
Gitman: Principl Manageri Finance_15 (15th Edition) (What's New in Finance)
(Cost of equity) In the spring of 2018, the Brille Corporation was involved in issuing new common stock at a ma...
Foundations Of Finance
Quick ratio and current ratio (Learning Objective 7) 1520 min. Consider the following data: COMPANY A B C D Cas...
Financial Accounting, Student Value Edition (5th Edition)
The Warm and Toasty Heating Oil Company used to deliver heating oil by sending trucks that printed out a ticket...
Essentials of MIS (12th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- Explain what you see from the pricing calculations. How do the two bonds differ? Bond C Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 10%*$1,000 = $100 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 Bond Z Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 0%*$1,000 = $0.00 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 years Bond A Bond Z 4 $1,012.79 $693.04 3 $1,010.02 $759.57 2 $1,006.98 $832.49 1 $1,003.65 $912.41 0 $1,000.00 $1,000.00arrow_forwardIf the interest rates on 1-, 5-, 20-, and 30-year bonds are (respectively)4%, 5%, 6%, and 7%, then how would you describe the yield curve?How would you describe it if the rates were reversed?arrow_forwardThe rate of return on a bond held to its maturity date is called the bond’syield to maturity. If interest rates in the economy rise after a bond hasbeen issued, what will happen to the bond’s price and to its YTM? Doesthe length of time to maturity affect the extent to which a given change ininterest rates will affect the bond’s price? Why or why not?arrow_forward
- Consider the following figure which shows the relationship between a three-year bond’s price (vertical axis) and the passage of time (measured in years - horizontal axis). Which of the following statements are consistent with the figure above? Group of answer choices A. This bond pays a coupon of $6. B. This pattern of prices is consistent with a bond whose yield to maturity is below the bond’s coupon rate. C. None of the other statements are correct. D. This bond pays coupons on a quarterly basis.arrow_forwardSuppose that y is the yield on a perpetual government bond that pays interest at the rate of $1 per annum. Assume that y is expressed with simply com- pounding, that interest is paid annually on the bond, and that y follows the process dy = a(y0 −y)dt + oydWt, where a, y0, and o are positive constants and dWt is a Wiener process. (a) What is the process followed by the bond price? (b) What is the expected instantaneous return (including interest and capital gains) to the holder of the bond?arrow_forward不 Which of the bonds A to D is most sensitive to a 1%drop in interest rates from Consider the following bonds: 6.5% to 5.5% Which bond is least sensitive? Bond Data table is most sensitive. (Select from the drop-down menu.) (Click on the following icon in order to copy its contents into a spreadsheet.) Bond A BC D Coupon Rate (annual payments) 0.0% 0.0% 4.3% 7.7% Print Done Maturity (years) 10 15 15 10arrow_forward
- How do investors calculate the net present value of a bond? If a bond's coupon payment is C, the interest rate is R, and the bond's coupon payment is made in each period for T years at which time the original principal, P, is repaid, then the bond's present discounted value (PDV) is C A. PDV = + (1 + R) (1 + R? (1 + R)T B. PDV = C(1 + R) + C(1 + R)2 - + C(1 + R)T + P(1 + R)T + C P OC. PDV = - + R R2 RT RT C D. PDV = P + C C (1 + R) (1+R)2 (1 + R)T C E. PDV = + + + + (1 + R) (1+ R)2 (1 + R)T (1 + R)T If the interest rate is 9 percent, what is the present value of a perpetuity that pays $50,000 each year, forever? The perpetuity's value is $ (Enter a numeric response rounded to two decimal places.)arrow_forwardWhich one of the following statements concerning debt instruments is correct? O A) A 25-year bond with a coupon rate of 9% and 1 year to maturity has more interest rate risk than a 10-year bond with a 9% coupon issued by the same firm with 1 year to maturity. O B) The coupon rate and yield of an outstanding long-term bond will change over time as economic factors change. O C) For long-term bonds, price sensitivity to a given change in interest rates is greater the longer the maturity of the bond. O D) A bond with 1 year to maturity would have more interest rate risk than a bond with 15 years to maturityarrow_forwardConsider the following bonds: Bond A B CD с Coupon Rate (annual payments) 0.0% 0.0% 4.3% 7.7% The percentage change in the price of bond A is |___%. (Round to one decimal place.) What is the percentage change in the price of each bond if its yield to maturity falls from 6.9% to 5.9%? The percentage change in the price of bond B is %. (Round to one decimal place.) Maturity (years) 15 The percentage change in the price of bond C is %. (Round to one decimal place.) The percentage change in the price of bond D is %. 21500arrow_forward
- First, it is known that two bonds have the same redemption value and coupon rate and are priced at the same yield rate. The first bond has a tenor of 4 years, while the second bond has a tenor of 10 years. The market yield rate then falls by 1% such that the prices of the first and second bonds change by D1% and D₂%, respectively, from their initial prices. Determine the relationship between D1 and D₂ Notes: |x| is the absolute value of x. a. D1 and D2 have negative signs and |D1|>|D2|.b. D1 and D2 have a positive sign and |D1|>|D2|.c. D1 and D2 have positive signs and |D1|<|D2|.d. D1 and D2 have different signs and |D1|>|D2|.e. D1 and D2 have different signs and |D1|<|D2|arrow_forwardIf the interest rates on 1-, 5-, 10-, and 30-year bonds are 4%, 5%, 6%, and 7%, respectively, how would you describe the yield curve? If the rates were reversed, how would you describe it?arrow_forwardThe longer the term a bond has before it matures, ______________ will be the affect on its value due to a 1% change in market interest rates. Select one: a. The lower b. Either A or B depending on the direction of the interest change c. Neither A or B, since bond maturity has no impact on interest rate sensitivity. d. The greaterarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning
Intermediate Financial Management (MindTap Course...
Finance
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Cengage Learning
Bond Valuation - A Quick Review; Author: Pat Obi;https://www.youtube.com/watch?v=xDWTPmqcWW4;License: Standard Youtube License