Economics: Private and Public Choice (MindTap Course List)
Economics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN: 9781305506725
Author: James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher: Cengage Learning
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Chapter 9, Problem 12CQ
To determine

The market price of the bond.

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Suppose that interest rates are 6 percent in the economy and a safe bond promises to pay $3 per year in interest forever. What do you think the price of the bond will be? Why?  Suppose that the economy, interest rates suddenly fall to 3 percent. What will happen to the price of the bond that pays $3 per year?
Erin buys a bond that pays no coupon payments for $160. When the bond matures, she receives $200.   Erin earned an interest rate of ____________ percent on this bond.   (Enter your answer "as a percent, but without the percentage sign." If you think Erin earned 99.99 percent interest, enter only 99.99 in the blank.)
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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