Principles of Finance, 6e
Besley/Brigham
Chapter 10
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Answers a and c are both correct.
Statements a and c are correct; therefore, statement e is the correct choice. The longer
the maturity of a bond, the greater the impact an increase in interest rates will have on
the bond’s price. Statement b is false. To see this, assume interest rates increase from 7
percent to 10 percent. Evaluate the change in the prices of a 10-year, 5 percent coupon
bond and a 10-year, 12 percent coupon bond. The 5 percent coupon bond‘s price
decreases by 19.4 percent, while the 12 percent coupon bond’s price decreases by only
16.9 percent. Statement c is correct. To see this, evaluate a 10-year, zero-coupon bond
and a 9-year, 10 percent annual coupon bond at 2 different interest rates, say 7 percent
and 10 percent. The zero-coupon bond’s price decreases by 24.16 percent, while the 9-
year, 10 percent coupon bond’s price decreases by only 16.33 percent.
Blooms Taxonomy-3 – Comprehension
Business Program-6 – Reflective Thinking
DISC-FIN-01 – Stocks and Bonds
DISC-FIN-04 – International Financial Management
Time Estimate-a – 5 min.
17. Which of the following statements is correct?
A 10-year bond would have more interest rate price risk than a 5-year bond, but all 10-year bonds have the
same interest rate price risk.
A 10-year bond would have more reinvestment rate risk than a 5-year bond, but all 10-year bonds have the
same reinvestment rate risk.
If their maturities were the same, a 5 percent coupon bond would have more interest rate price risk than a 10
percent coupon bond.
If their maturities were the same, a 5 percent coupon bond would have less interest rate price risk than a 10
percent coupon bond.
Zero-coupon bonds have more interest rate price risk than any other type bond, even perpetuities.
Statement c is correct. For example, assume these coupon bonds have 10 years until
maturity and the current interest rate is 12 percent. The 5 percent coupon bond’s value is
$604.48, while the 10 percent coupon bond’s value is $887.00. Thus, the lower coupon
bond has more price risk than the higher coupon bond. The lower the coupon, the greater
the percentage of the cash flow that will come in the later years (from the maturity value),
hence, the greater the impact of interest rate changes. Statement a is false⎯as we
demonstrated above. Statement b is false⎯shorter-term bonds have more reinvestment
rate risk than longer-term bonds because the principal payment must be reinvested
sooner on the shorter-term bond. Statement d is false⎯as we demonstrated earlier.
Statement e is false because perpetuities have no maturity date; therefore, they have
more price risk than zero-coupon bonds. The longer a security’s maturity, the greater its
price risk.
Blooms Taxonomy-3 – Comprehension
Business Program-6 – Reflective Thinking