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Bond A pays $8,000 in 20 years. Bond B pays $8,000 in 40 years. (To keep things simple, assume these are zero-coupon bonds, which means the $8,000 is the only payment the bondholder receives.) a. If the interest rate is 3.5 percent, what is the value of each bond today? Which bond is worth more? Why? ( Hint: You can use a calculator, but the rule of 70 should make the calculation easy.) b. If the interest rate increases to 7 percent, what is the value of each bond? Which bond has a larger percentage change in value? c. Based on the example above, complete the two blanks in this sentence: “The value of a bond [rises/falls] when the interest rate increases, and bonds with a longer time to maturity are [more/less] sensitive to changes in the interest rate.”

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Principles of Macroeconomics (Mind...

8th Edition
N. Gregory Mankiw
Publisher: Cengage Learning
ISBN: 9781305971509
BuyFind

Principles of Macroeconomics (Mind...

8th Edition
N. Gregory Mankiw
Publisher: Cengage Learning
ISBN: 9781305971509

Solutions

Chapter
Section
Chapter 14, Problem 3PA
Textbook Problem

Bond A pays $8,000 in 20 years. Bond B pays $8,000 in 40 years. (To keep things simple, assume these are zero-coupon bonds, which means the $8,000 is the only payment the bondholder receives.)

a. If the interest rate is 3.5 percent, what is the value of each bond today? Which bond is worth more? Why? (Hint: You can use a calculator, but the rule of 70 should make the calculation easy.)

b. If the interest rate increases to 7 percent, what is the value of each bond? Which bond has a larger percentage change in value?

c. Based on the example above, complete the two blanks in this sentence: “The value of a bond [rises/falls] when the interest rate increases, and bonds with a longer time to maturity are [more/less] sensitive to changes in the interest rate.”

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