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):
Maturity (years)
Price (per $100 face value)
1
$96.32
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.)
2
$91.93
3
$87.36
4
5
$82.57
$77.42
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 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%. (Round to two decimal places.)
Data table
(Click on the following icon
Maturity (years)
Price (per $100 face value)
in order to copy its contents into a spreadsheet.)
2
$91.99
3
$87.33
1
$96.35
Print
Done
4
$82.48
5
$77.37
X
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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- Complete the following table and draw a graph showing how bond price for each bond changes over time as they move towards their maturity dates. Describe the relationship between bond prices and time remaining for maturity. Years remaining to maturity BOND A Coupon rate = 8% p.a. Market interest rate = 6% p.a. BOND B Coupon rate = 6% p.a. Market interest rate = 6% p.a. BOND C Coupon rate = 4% p.a. Market interest rate = 6% p.a.arrow_forwardAssume that a bond will make payments every six months as shown on the following timeline (using six-month periods): Period 1 2 29 30 Cash Flows $20.37 $20.37 $20.37 $20.37 + $1,000 a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value?arrow_forwardAssume coupons are paid annually. Here are the prices of three bonds with 10-year maturities. Assume face value is $100. Bond Coupon (%) Price (%) 2 81.55 4 98.31 8 133.52 a. What is the yield to maturity of each bond?b. What is the duration of each bond?arrow_forward
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- Suppose the yield on a one year bond is currently 2.5%. Further assume that the expected yield on a one-yea the next four years are, respectively: 2.4%, 2.3%, 2.2%, and 2.1%. Additionally, the term premium on the one-, three-, four-, and five-year bonds are given in the table below: Term Premium on Different Maturity Length Bonds Maturity Length Term Premium one-year 0.00% two-year three-year four-year five-year a. b. flat 0.05% Given the information above, if the yield curve of these five bonds were graphed, it would be 0.10% e. 0.15% downward sloping upward sloping 0.20% C. flat then upward sloping d. upward sloping then downward slopingarrow_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_forwardAssume coupons are paid annually. Here are the prices of three bonds with 10-year maturities. Assume face value is $100. Bond Coupon (%) 2 Price (%) 48 80.57 97.19 134.92 a. What is the yield to maturity of each bond? b. What is the duration of each bond? Complete this question by entering your answers in the tabs below. Required A Required B What is the yield to maturity of each bond? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Bond Coupon YTM (%) 2 4 6.00 % 7.42% 8 7.01 %arrow_forward
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