Consider three bonds with 5.10% coupon rates, all making annual coupon payments and all selling at face value. The short- term bond has a maturity of 4 years, the intermediate-term bond has a maturity of 8 years, and the long-term bond has a maturity of 30 years. a. What will be the price of the 4-year bond if its yield increases to 6.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What will be the price of the 8-year bond if its yield increases to 6.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. What will be the price of the 30-year bond if its yield increases to 6.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) d. What will be the price of the 4-year bond if its yield decreases to 4.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) e. What will be the price of the 8-year bond if its yield decreases to 4.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) f. What will be the price of the 30-year bond if its yield decreases to 4.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) g. Comparing your answers to parts (a), (b), and (c), are long-term bonds more or less affected than short-term bonds by a rise in interest rates? h. Comparing your answers to parts (d), (e), and (f), are long-term bonds more or less affected than short-term bonds by a decline in interest rates?

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter4: Bond Valuation
Section: Chapter Questions
Problem 8MC: Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for...
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Problem 6-19 Interest Rate Risk (LO3)

Consider three bonds with 5.10% coupon rates, all making annual coupon payments and all selling at face value. The short-term bond has a maturity of 4 years, the intermediate-term bond has a maturity of 8 years, and the long-term bond has a maturity of 30 years.

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Consider three bonds with 5.10% coupon rates, all making annual coupon payments and all selling at face value. The short-
term bond has a maturity of 4 years, the intermediate-term bond has a maturity of 8 years, and the long-term bond has a
maturity of 30 years.
a. What will be the price of the 4-year bond if its yield increases to 6.10%? (Do not round intermediate calculations. Round
your answer to 2 decimal places.)
b. What will be the price of the 8-year bond if its yield increases to 6.10%? (Do not round intermediate calculations. Round
your answer to 2 decimal places.)
c. What will be the price of the 30-year bond if its yield increases to 6.10%? (Do not round intermediate calculations. Round
your answer to 2 decimal places.)
d. What will be the price of the 4-year bond if its yield decreases to 4.10%? (Do not round intermediate calculations. Round
your answer to 2 decimal places.)
e. What will be the price of the 8-year bond if its yield decreases to 4.10%? (Do not round intermediate calculations. Round
your answer to 2 decimal places.)
f. What will be the price of the 30-year bond if its yield decreases to 4.10%? (Do not round intermediate calculations. Round
your answer to 2 decimal places.)
g. Comparing your answers to parts (a), (b), and (c), are long-term bonds more or less affected than short-term bonds by a rise
in interest rates?
h. Comparing your answers to parts (d), (e), and (f), are long-term bonds more or less affected than short-term bonds by a
decline in interest rates?
a. Bond price
b. Bond price
Bond price
d. Bond price
e. Bond price
f. Bond price
g. Long-term bonds
$
965.43
$
938.15
C.
$
863.81
$
1,036.21
$
1,067.05
$
1,170.84
affected than short-term bonds
h. Long-term bonds
affected than short-term bonds
Transcribed Image Text:Consider three bonds with 5.10% coupon rates, all making annual coupon payments and all selling at face value. The short- term bond has a maturity of 4 years, the intermediate-term bond has a maturity of 8 years, and the long-term bond has a maturity of 30 years. a. What will be the price of the 4-year bond if its yield increases to 6.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What will be the price of the 8-year bond if its yield increases to 6.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. What will be the price of the 30-year bond if its yield increases to 6.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) d. What will be the price of the 4-year bond if its yield decreases to 4.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) e. What will be the price of the 8-year bond if its yield decreases to 4.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) f. What will be the price of the 30-year bond if its yield decreases to 4.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) g. Comparing your answers to parts (a), (b), and (c), are long-term bonds more or less affected than short-term bonds by a rise in interest rates? h. Comparing your answers to parts (d), (e), and (f), are long-term bonds more or less affected than short-term bonds by a decline in interest rates? a. Bond price b. Bond price Bond price d. Bond price e. Bond price f. Bond price g. Long-term bonds $ 965.43 $ 938.15 C. $ 863.81 $ 1,036.21 $ 1,067.05 $ 1,170.84 affected than short-term bonds h. Long-term bonds affected than short-term bonds
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