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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Chapter 3, Problem 1PS
a)
Summary Introduction
To discuss: The effects on bonds coupon rates if the yield to maturity increases after the issue of the T bonds.
b)
Summary Introduction
To discuss: The effects on
c)
Summary Introduction
To discuss: The effects on bonds yield to maturity if the yield to maturity increases after the issue of T bonds.
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1. Bond prices and yields (S3.1) A 10-year bond is issued with a face value of $1,000, paying interest of $60 a year. If interest
rates increase shortly after the bond is issued, what happens to the bond's
a. Coupon rate?
b. Price?
c. Yield to maturity?
Question 1. Duration and Banking
Consider a 5-year bond with annual coupon payments. The bond has a face value (prin-
cipal) of $100 and sells for $95. Its coupon rate is 3%. (The coupon rate is the ratio
between the coupon value and the face value). The face value is paid at the maturity
year in addition to the last coupon payment.
1. Calculate the bond's yield to maturity (YTM) and duration using its YTM.
2. Suppose the bond's YTM changes in the same way as a 5-year T-bill interest rate.
Use the bond's modified duration to evaluate the relative change in the 5-year bond's
value if the interest rate on 5-year T-bills falls by one basis point, that is, by 0.0001.
This part was extracted from the balance sheet of the First Bank of Australia:
Assets (Billion AUD)
Bond 80
Liabilities (Billion AUD)
Fixed-rate liabilities 60
where "Bond" here refers to the bond we specified above and the fixed-rate liabilities
(banks future payment obligations) have an average duration of 4 years and YTM of…
Thebond shown in the following table pays interest annually.
Par value
Coupon interest rate
Years to maturity
Current value
$1,000
8%
9
$700
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.
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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