PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 3, Problem 18PS
a)
Summary Introduction
To calculate: New yield to maturity.
b)
Summary Introduction
To calculate:
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Suppose 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?
Unlike the coupon interest rate, which is fixed, a bond's yield varies from day to day depending on market conditions. To be most useful, it should give us an estimate of the rate of return an investor
would earn if that investor purchased the bond today and held it for its remaining life. There are three different yield calculations: Current yield, yield to maturity, and yield to call.
A bond's current yield is calculated as the annual interest payment divided by the current price. Unlike the yield to maturity or the yield to call, it does not represent the actual return that investors
should expect because it does not account for the capital gain or loss that will be realized if the bond is held until it matures or is called. This yield was popular before calculators and computers came
along because it was easy to calculate; however, because it can be misleading, the yield to maturity and yield to call are more relevant.
The yield to maturity (YTM) is the rate of return earned on a…
please answer all the questions.
1. What is the typical yield of a long-term bond?
2. What is the assumed inflation rate?
Chapter 3 Solutions
PRIN.OF CORPORATE FINANCE
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 - Bond prices and yields A 10-year bond is issued...Ch. 3 - Bond prices and yields The following statements...Ch. 3 - Bond prices and yields Construct some simple...Ch. 3 - Bond prices and yields A 10-year German government...Ch. 3 - Bond prices and yields A 10-year German government...Ch. 3 - Bond prices and yields A 10-year U.S. Treasury...
Ch. 3 - Bond returns If a bonds yield to maturity does not...Ch. 3 - Bond returns a. An 8%, five-year bond yields 6%....Ch. 3 - Prob. 10PSCh. 3 - Duration True or false? Explain. a....Ch. 3 - Duration Here are the prices of three bonds with...Ch. 3 - Duration Calculate the durations and volatilities...Ch. 3 - Prob. 14PSCh. 3 - Duration Find the spreadsheet for Table 3.4 in...Ch. 3 - Prob. 16PSCh. 3 - Spot interest rates and yields Which comes first...Ch. 3 - Prob. 18PSCh. 3 - Spot interest rates and yields Look again at Table...Ch. 3 - Prob. 20PSCh. 3 - Spot interest rates and yields Assume annual...Ch. 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. 24PSCh. 3 - Measuring term structure The following table shows...Ch. 3 - Term-structure theories The one-year spot interest...Ch. 3 - Term-structure theories Look again at the spot...Ch. 3 - Real interest rates The two-year interest rate is...Ch. 3 - Prob. 30PSCh. 3 - Bond ratings A bonds credit rating provides a...Ch. 3 - Prob. 32PSCh. 3 - Price and spot interest rates Find the arbitrage...Ch. 3 - Prob. 34PSCh. 3 - Prices and spot interest rates What spot interest...Ch. 3 - Prices and spot interest rates Look one more time...
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
- The rate of return that you would earn if you bought a bond and held It to its maturity date is called the bond's yield to maturity (YTM). If Interest rates in the economy rise after a bond has been issued, what will happen to the bond's price and to Its YTM? Does the length of time to maturity affect the extent to which a given change in interest rates will affect the bond's price? Briefly explain with necessary numerical data.arrow_forwardd. If you hold the bonds for one year, and interest rates do not change, what total rate of return will you earn, assuming that you pay the market price? Why is this different from the current yield and YTM?arrow_forwardеВook 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_forward
- The forward rate f(t1,12) of a bond, is the implicit interest rate in a future period between time t1 and t2. For example, assuming continuous time returns, if the discount rate from period 0 to t1 is: exp(-r t1), and from period 0 to 12 (greater than t1) is: exp(-r t2), then the forward rate f from t1 to t2 maintains the following no arbitrage relationship: exp(-r t1) exp(-f (t2-t1) exp(-r t2)). Suppose we observe the prices of a 14-year zero-coupon bond (with a face value of $93.31), where P(t1,t2) regans the price of the bond between t1 and 12, and a year 7-to-14 forward rate as follows:P(0.14) - $86.5496905000 and f(7,14) - 0.6074704253 %. Calculate the price of a 7-year zero-coupon, with face value $99.27: $82.9604 $96.0778 ✓(25 %) $96.2349 $82.1804arrow_forwardcan you may this calculations for each of my bonds?. For each of your bonds, calculate expected defavvult percent loss as = default probability* (1 - recovery rate ). You will need to use the default rates and recovery rates that match each bond's rating. 4. Calculate the overall expected loss to your portfolio as the weighted average of the expected default percent lossarrow_forwardExplain 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_forward
- The bond shown in the following table attached pays interest annually. a. Calculate the yield to maturity (YTM)for the bond. b. What relationship exists between the coupon interest rate and yield to maturity and the par value and market value of a bond? Explain.arrow_forward7-42 Spreadsheet Problem You have a portfolio of three bonds. The long bond will mature in 19 years and has a 5.5% coupon rate. The midterm bond matures in 9 years and has a 6.6% coupon rate. The short bond matures in only 2 years and has a 4% coupon rate. a. Construct a spreadsheet that shows the value of these three bonds and the portfolio when the discount rate is 5%. The spreadsheet can look something like this: A B D E 1 Now Change to 2 Interest rate = 5.00% 5.50% 3 Bonds Bond Price Now Price After Change Change in $ Change in % 4 Long bond 5 Midterm bond 6 Short bond 7 Total = $0.00 $0.00 図arrow_forwardSuppose 2-year Treasury bonds yield 4.1%,while 1-year bonds yield 3.2%. r* is 1%, and the maturity risk premium is zero.a. Using the expectations theory, what is the yield on a 1-year bond, 1 year from now?Calculate the yield using a geometric average.b. What is the expected inflation rate in Year 1? Year 2?arrow_forward
- Calculate YTC using a financial calculator by entering the number of payment periods until call for N, the price of the bond for PV, the interest payments for PMT, and the call price for FV. Then you can solve for 1/YR YTC. Again, remember you need to make the appropriate adjustments for a semiannual bond and realize that the calculated 1/YR is on a periodic basis so you will need to multiply the rate by 2 to obtain the annual rate. In addition, you need to make sure that the signs for PMT and FV are identical and the opposite sign is used for PV; otherwise, your answer will be incorrect. A company is more likely to call its bonds if they are able to replace their current high-coupon debt with less expensive financing. A bond is more likely to be called if its price is above par-because this means that the going market interest rate is less than its coupon rate. Quantitative Problem: Ace Products has a bond issue outstanding with 15 years remaining to maturity, a coupon rate of 8.4%…arrow_forward4. Given the expectations theory as the correct interpretation of the term structure, calculate and depict the yield curves for the provided series of one-year interest rates: 5%, 7%, 7%, 7%, 7% 5%, 4%, 4%, 4%, 4% a. b. How would your yield curves change if people preferred shorter-term bonds over longer- term bonds? Solution:arrow_forwardThe bond shown in the following table pays interest annually in the table attached. a. Calculate the yield to maturity (YTM) for the bond. b. What relationship exists between the coupon interest rate and yield to maturity and the par value and market value of a bond? Explain.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
The U.S. Treasury Markets Explained | Office Hours with Gary Gensler; Author: U.S. Securities and Exchange Commission;https://www.youtube.com/watch?v=uKXZSzY2ZbA;License: Standard Youtube License