PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Question
Chapter 3, Problem 14PS
Summary Introduction
To determine: The duration and modified duration.
Expert Solution & Answer
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a. Manually compute the modified duration for a 3-years to maturity, 5% annual coupon bond, when the yield-to-maturity is 7%.
b. Manually compute the modified duration for a 3-years to maturity, 5% annual coupon bond, when the yield-to-maturity is 5%.
c. Compare your answers to above questions. Are they different? If so, what is the reason? Explain clearly
Conceptual Overview: Explore the value of fixed-interest coupon bonds of different terms.
This graph shows the value of 10% coupon bonds of different terms across differing market interest rates. Each bond pays INT = $100 at the end of each year and returns M = $1,000 at maturity. For comparison, the blue line depicts the value of a one-year bond. The term of the other bond in years may be changed using the slider. Drag on the graph to change the current market interest rate (rd) at which the bond (orange curve) is evaluated.
∑ t = 1 Y r s I N T ( 1 + r d ) + M ( 1 + r d ) = ∑ t = 1 1 5 $ 1 0 0 ( 1 + 0 . 1 0 0 ) + $ 1 0 0 0 ( 1 + 0 . 1 0 0 ) = 1 , 0 0 0 ∑ t=1 Yrs (1+r d ) t INT + (1+r d ) Yrs M =∑ t=1 15 (1+0.100) t $100 + (1+0.100) 15 $1000 =1,000
∑t=1Yrs(1+rd)tINT+(1+rd)YrsM=∑t=115(1+0.000)t$100+(1+0.000)15$1000=2,500.
1. What is the value of a 15-year 10% $1,000 coupon bond when the market interest rate is 15%?
$421$708$1,000$1,5192. What is the value of a 12-year 10% $1,000…
All computations must be done and shown manually
Question 4
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.
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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...
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