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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Question
Chapter 9, Problem 12CQ
To determine
The market price of the bond.
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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.
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.)
Chapter 9 Solutions
Economics: Private and Public Choice (MindTap Course List)
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Similar questions
- A bond that has a face value of $300 maturing in one year is available for purchase for $252 . What is the interest rate offered on the bond (rounded to the nearest whole percent), and if the price of the bond were to increase, how would the interest rate be affected?arrow_forwardWhat causes the yield on a discount bond to exceed the coupon rate on a bond?arrow_forwardA bond has a Macaulay duration of 10.00 and is priced to yield 8.0%. If interest rates go up so that the yield goes to 8.5%, what will be the percentage change in the price of the bond? Now, if the yield on this bond goes down to 7.5%, what will be the bond's percentage change in price? Comment on your findings. If interest rates go up to 8.5%, the percentage change in the price of the bond is nothing%. (Round to two decimal places.) If interest rates go down to 7.5%, the percentage change in the price of the bond is nothing%. (Round to two decimal places.) Comment on your findings. (Select the best answer below.) A. As interest rates decrease, the price of the bond decreases. As interest rates increase, the price of the bond increases. B. As interest rates increase or decrease, the price of the bond will always increase. C. As interest rates increase or decrease, the price of the bond remains the same. D. As interest rates…arrow_forward
- If the interest rate is 20 percent, what is the present value of a bond that matures in two years, pays $85 one year from now, and pays $1,085 two years from now? The present value of the bond is $ (Enter your response rounded to the nearest cent.)arrow_forwardThe Kelowna Go-Kart Klub has decided to build a clubhouse and track five years from now. It must accumulate $50 000 by the end of five years by setting aside a uniform amount from its dues at the end of each year. If the interest rate is 10 percent, how much must be set aside each year?arrow_forwardThe price of a bond with no expiration date is originally $1,000 and has a fixed annual interest payment of $150. If the price of the bond then falls by $250, what will be the interest rate yield to a new buyer of the bond?arrow_forward
- For each of the following pairs, which bond would you expect to pay a higher interest rate? Explain! a). a bond of the U.S. government or a bond of an East European government b). a bond that repays the principal in year 2015 or a bond that repays the principal in year 2040 c). a bond from Coca-Cola or a bond from a software company you run in your garage d). a bond issued by the federal government or a bond issued by New York Statearrow_forwardConsider a $1200 bond that makes $30 annual coupon payments. If the interest rate is 2 percent and the bond matures in two years, what is the bond's present value? Carefully follow all mathematical instructions. Round intermediate steps to four decimal places and your final answer to two decimal places.arrow_forwardmany people think that the interest rate on a bond tells them all they need to know about how well off they are as a result of owning it. Explain the statement.arrow_forward
- The price of a bond with no expiration date is originally $1,000 and has a fixed annual interest payment of $150. If the price of the bond then falls by $200, what will be the interest rate yield to a new buyer of the bond? Multiple Choice 10 percent 15 percent 9.4 percent 12.5 percent 18.8 percentarrow_forwardHow to find the effective interest rate of a bond?arrow_forward1. Assuming that the current interest rate is 3 percent, compute the present value (or price) of a five-year, 5 percent coupon bond with a face value of $1,000. What happens to the present value when the interest rate goes to 4 percent? Compute the new present value.arrow_forward
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