Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Question
Chapter 3, Problem 33PS
Summary Introduction
To prove: The duration of a bond makes an equal payment each year in perpetuity.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Which has morereinvestment rate risk: a 1-year bond or a 10-yearbond?
(a) Determine what is the payment stream of the bond.
(b) Determine the effective duration of the bond's payments if interest is
compounded annually at rate 3%. State your answer to three significant figures.
(c) Find the duration of the bond's payments if interest is compounded
continuously at rate 3%. State your answer to three significant figures.
Define the intrinsic value of a 2-year maturity bond whose face value will be repaid in equal installments.
Chapter 3 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 3 - (PRICE) In February 2009, Treasury 8.5s of 2020...Ch. 3 - (YLD) On the same day, Treasury 3.5s of 2018 were...Ch. 3 - (DURATION) What was the duration of the Treasury...Ch. 3 - (MDURATION) What was the modified duration of the...Ch. 3 - Prob. 1PSCh. 3 - Bond prices and yields The following statements...Ch. 3 - Prob. 3PSCh. 3 - Bond prices and yields A 10-year German government...Ch. 3 - Bond prices and yields Construct some simple...Ch. 3 - Spot interest rates and yields Which comes first...
Ch. 3 - Prob. 7PSCh. 3 - Spot interest rates and yields Assume annual...Ch. 3 - Prob. 9PSCh. 3 - Prob. 10PSCh. 3 - Duration True or false? Explain. a....Ch. 3 - Duration Calculate the durations and volatilities...Ch. 3 - Term-structure theories The one-year spot interest...Ch. 3 - Real interest rates The two-year interest rate is...Ch. 3 - Duration Here are the prices of three bonds with...Ch. 3 - Prob. 16PSCh. 3 - Prob. 17PSCh. 3 - Spot interest rates and yields A 6% six-year bond...Ch. 3 - Spot interest rates and yields Is the yield on...Ch. 3 - Prob. 20PSCh. 3 - Prob. 21PSCh. 3 - Duration Find the spreadsheet for Table 3.4 in...Ch. 3 - Prob. 23PSCh. 3 - Prob. 25PSCh. 3 - Prob. 26PSCh. 3 - Prob. 27PSCh. 3 - Prob. 28PSCh. 3 - Prob. 29PSCh. 3 - Prices and yields If a bonds yield to maturity...Ch. 3 - Prob. 31PSCh. 3 - Price and spot interest rates Find the arbitrage...Ch. 3 - Prob. 33PSCh. 3 - Prices and spot interest rates What spot interest...Ch. 3 - Prices and spot interest rates Look one more time...
Knowledge Booster
Similar questions
- Calculate the value of the bond shown in the following table, assuming it pays interest annually?arrow_forwardSelect the correct answer to each of the following statements. A. Increase B. Decrease C. Remain Constant 1. The amount of interest expense will _______ each payment period for a bond issued at a discount. 2. When a bond is issued at a discount, the cash interest payment will _________ over the life of the bond. 3. When a bond is issued at a premium, the carrying value of the bond will _______ over the life of the bond.arrow_forwardConsider a one-year discount bond that has a present value of P1,500. If the rate of discount is 4 percent, the future value of the bond (the amount the bond pays in one year) is? a. P1,560.00 b. P1,540.00 c. P1,440.00 d. 1,442.31arrow_forward
- Vi (H X.) 25) A credit market instrument that pays the owner a fixed coupon payment every year until the maturity date and then repays the face value is called a A) fixed-payment loan. C) simple loan. B) coupon bond. D) discount bond. 25) Prarrow_forwardConsider the following term structure of interest rates: Maturity Interest Rate 1-year 4.6% 2-year 5.3% 3-year 6.9% Compute the implied one-year forward rate at the beginning of year 3.arrow_forward1.Which of the following statements is CORRECT? Statement 1. The difference between the PV of an annuity due and the PV of an ordinary annuity is that each of the payments of the annuity due is discounted by one more year (period). Statement 2. The difference between an ordinary annuity and an annuity due is that each of the payments of the annuity due earns interest for one additional year (period). Statement 3. An annuity is a series of equal payments made at fixed equal-length intervals for a specified number of periods. Statement 3 only. All of the statements are correct. None of the statement is correct. Statement 1 only. Statement 2 only. Given some amount to be received several years in the future, if the interest rate increases, the present value of the future amount will Be higher Be variable. Be lower. Cannot tell. Stay the same. WITH EXPLANATION PLEASEarrow_forward
- According to the expectations theory of the term structure of interest, if the 1-year bond rate today is 6% p.a. and the 2-year bond rate today is 7% p.a., what is the 1-year bond rate next year? A. 6% B. 6.75% C. 7.5% D. 8%arrow_forwardAssume you have the following asset and liability in your Balance Sheet:Asset - Bond AModified Duration = 2.6 yearsValue= RM1.5 millionAAFARLiability - Bond BModified Duration = 3.1 yearsValue= RM1.0 milliona. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%?attachment. calculation step by steparrow_forwardListen Assume that there is a bond that pays $20.00 at the and of year 2, and $105.00 at the end of year 7. It sells at a total =$(20.00+105.00). The Macauley duration of the bond is? Answer with two digits decimal accuracy. Blank Excel Worksheet Your Answerarrow_forward
- еВook Problem Walk-Through Last year Carson Industries issued a 10-year, 13% semiannual coupon bond at its par value of $1,000. Currently, the bond can be called in 6 years at a price of $1,065 and it sells for $1,200. a. What are the bond's nominal yield to maturity and its nominal yield to call? Do not round intermediate calculations. Round your answers to two decimal places. YTM: % YTC: % Would an investor be more likely to earn the YTM or the YTC? -Select- -Select- ent yield and to Table 7.1) Round your answer to two decimal places. b. Since the YTM is above the YTC, the bond is likely to be called. Since the YTC is above the YTM, the bond is likely to be called. Since the YTM is above the YTC, the bond is not likely to be called. Since the YTC is above the YTM, the bond is not likely to be called. Since the coupon rate on the bond has declined, the bond is not likely to be called. I. If the bond is called, the capital gains yield will remain the same but the current yield will be…arrow_forwardConsider a one-year discount bond that has a present value of P1,500. If the rate of discount is 4 percent, the future value of the bond (the amount the bond pays in one year) is * P1,560.00 P1,540.00 P1,440.00 O P1,442.31arrow_forwardYield to maturity. What is the yield of each of the following bonds, , if interest (coupon) is paid semiannually?arrow_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