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
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Textbook Question
Chapter 3, Problem 15PS
Duration Here are the prices of three bonds with 10-year maturities:
If coupons are paid annually, which bond offered the highest yield to maturity? Which had the lowest? Which bonds had the longest and shortest durations?
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The following table summarizes 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?
a. Compute the yield to maturity for each bond.
The yield on the 1-year bond is 3.92 %. (Round to two decimal places.)
Data table
(Click on the following icon in order to copy its contents into a spreadsheet.)
Maturity (years)
Price (per $100 face value)
1
$95.51
2
3
$91.10
$86.55
$81.69
$76.45
Print
Donday
The 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?
The return an investor earns on a bond over a period of time is known as the holding period return, defined as interest income plus or
minus the change in the bond's price, all divided by the beginning bond price.
a. What is the holding period return on a bond with a par value of $1,000 and a coupon rate of 7.5 percent if its price at the beginning
of the year was $1,070 and its price at the end was $960? Assume interest is paid annually.
Note: Negative value should be indicated by parenthesis. Round your answer to 2 decimal places.
Holding period return
%
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...
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- numerical answers should be calculated to at least two decimal places. Face value of bonds is taken as $100. assume coupon payments are paid once a year. Bond A: term to maturity=10 years, coupon rate = 9.75%, current price = $160.55. Find the current yield and yield to maturity of Bond A. Bond B: term to maturity-5 years, coupon rate = 11.25%, yield to maturity -2.35% p.a. Find the current price of Bond B. From your answer, what do say about this price when compared with the face value of the bond?arrow_forwardUsing 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 61 98 7% 108arrow_forwardThe following table summarizes prices of various default-free, zero-coupon bonds (expressed as a percentage of face value): Maturity (years) 1 2 3 4 5 Price (per $1000 face value) 94.5 96.6 88.6 84.5 77.7 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
- 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%arrow_forwardUsing 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.) Interest Rate 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% 5% 4% 7% Expected Return 0.00 % 2-year security 3-year security % 4-year 2 decimal places required.arrow_forwardWhat do you have to do to the interest rate and years of maturity if a bond pricing problem tells you that interest is compounded quarterly?arrow_forward
- 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. Interest Rate 1-year T-bill at beginning of year 1 6% 1-year T-bill at beginning of year 2 9% 1-year T-bill at beginning of year 3 10% 1-year T-bill at beginning of year 4 12% Expected Return 2 year security % 3 year security % 4 year security %arrow_forwardData table 不 The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of 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? a. Compute the yield to maturity for each bond. The yield on the 1-year bond is ☐ %. (Round to two decimal places.) (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Price (per $100 face value) 1 $95.42 2 3 4 5 $90.99 $86.47 $81.58 $76.46 Print Donearrow_forwardWhat is the answer ?arrow_forward
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