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第7章习题

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2021-01-29 05:12
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2021年1月29日发(作者:二元二次方程)


Chapter 7 Interest Rates and Bond Valuation


Chapter 07 Quiz A Student Name _________________________


Student ID ____________




________ 1.


A semiannual corporate bond has a face value of $$1,000, a yield to maturity of 7.2 percent, and a coupon





rate of 7.5 percent. The bond matures 10 years from today. This bond:






a. pays interest payments of $$75.00 every six months.





b. sells at par value.





c. is currently quoted at a price of 101.02.





d. has a current yield of 7.34 percent.



________


2.


The price you pay to purchase a Treasury bond is the _____ price.





a. asked



b. yield



c. call



d. bid



________


3.


When computing the present value of an annuity stream of payments you should discount:





a. the nominal cash flows using the real discount rate.





b.


each increasing nominal payment by using the annuity growth formula.





c. each increasing nominal payment using the real discount rate for each period.





d. the real cash flows using the real discount rate.




________


4.


An investor is considering two bonds, a 5.5 percent municipal bond versus a 7.5 percent taxable bond. If the





investor is in the 30 percent tax bracket, which bond should she chose? Why? Ignore state and local taxes.





a. the taxable bond; it has a higher aftertax yield





b. the taxable bond, it has a lower aftertax yield





c. the municipal bond; it is exempt from all taxes





d. the municipal bond, it has a higher aftertax yield



________


5.


Teri earned 7.7 percent on her investments last year. If her real rate of return was 5.4 percent, what was the




inflation rate for the year?





a. .70 percent


b. 1.87 percent


c. 2.18 percent


d. 2.30 percent



________


6.


TES, Inc. offers an 8.5 percent bond with a yield to maturity of 7.65 percent. The bond pays interest annually





and matures in 22 years. What is the market price of one of these bonds if the face value is $$1,000?





a. $$916.02


b. $$916.62


c. $$1,089.16


d. $$1,089.81



________


7.


Signature Sweets, Inc. has 8 percent semiannual bonds outstanding with 15 years to maturity. The latest



quote on these bonds is 109.16. What is the yield to maturity?





a. 7.00 percent


b. 7.67 percent


c. 13.99 percent


d. 14.49 percent



________


8.


A zero coupon bond has a yield to maturity of 6.33 percent and 12 years until it fully matures. What is




the current price of this bond if the face value is $$1,000?





a. $$473.39


b. $$478.77


c. $$688.04


d. $$692.51



________


9.


An annual, ten-year bond is currently selling for $$1,037.86 and has a yield to maturity of 6.23 percent.




What is the coupon rate of this bond if the face value is $$1,000?





a. 3.25 percent


b. 4.50 percent


c. 5.00 percent


d. 6.75 percent



________


10.


The bonds of XYZ, Inc. are currently quoted at 97.65 and mature in 13 years. The bonds




pay a $$45 semiannual coupon. What is the current yield on these bonds?





a. 4.32 percent


b. 4.61 percent


c. 9.22 percent


d. 9.32 percent





7-1


Chapter 7 Interest Rates and Bond Valuation


Chapter 07 Quiz A




Answers


1.


d


?


?


?< /p>


.


072


?


10


?


2


?


?


?


1


?


?


1


/


?


1


?


?


?


?

< br>2


?


?


.


075


?


$$


1


,


000


?


?


$$


1


,


000


?


?


?


?


?


P


?


?


?


; P = $$528.175 + $$492.952 = $$1,021.13


?


10


?


2


.


072


2


?


?


?


1


?


.


072


?


?


2


?


?


?

< br>2


?


?


?


?


Enter


10


?


2 7.2/2



75/2 1,000




N


I/Y


PV


PMT


FV


Solve for



-1,021.13




Current yield = (.075


?


$$1,000) / $$1,021.13 = .073448 = 7.34 percent


You pay the asked price to purchase a Treasury bond.


You should discount the real cash flows using the real discount rate.


Municipal ATY = 5.50 percent. Taxable bond ATY = .075 ×


(1



.30) = .0525 = 5.25 percent


h = [(1 + .077) / (1 + .054)]



1 = .02182 = 2.18 percent











2.


3.


4.


5.



6.







7.





8.







9.









10.








a


d


d


c


c






a




b







d







c


?


1< /p>


?


1


/


?


1


?


.


0765


?


22


?


$$


1


,


000


P


?


?


.


085


?


$$


1


,

< p>
000


?


?


?

< p>
?


; P = $$891.60 + $$197.56 = $$1,089.16


?


22


.


0765


?


?


?


1


?


.


0765< /p>


?



Enter


22 7.65





N


I/Y


PV


Solve for



-1,089.16


85 1,000


PMT


FV




?


?


Enter


15


?


2


/2 -1,091.60 80/2 1,000




N


I/Y


PV


PMT


FV


Solve for


7.00


P


?


$$

1


,


000


?

1


?


.


0633

< br>?


12


; P = $$478.77



Enter


12 6.33





N


I/Y


PV


Solve for



-478.77



1,000


PMT


FV




?


1


?


1


/< /p>


?


1


?


.


0623


?


10


?< /p>


$$


1


,


000< /p>


$$


1


,


037< /p>


.


86


?


C


?


$$


1


,


000


?


?


?


; C = .0675 = 6.75 percent


?


10


.


0623


?


?


?


1


?


.


0623


?



Enter


10 6.23 -1,037.86





N


I/Y


PV


PMT


Solve for





67.50


1,000


FV



?


?



Coupon rate = $$67.50 / $$1,000 = .0675 = 6.75 percent


CY = ($$45.00 ×


2) / $$976.50 = .09217 = 9.22 percent



7-2


Chapter 7 Interest Rates and Bond Valuation


Chapter 07 Quiz B Student Name _________________________


Student ID ____________




________


1.


TES, Inc. offers a 7.5 percent bond with a yield to maturity of 8.25 percent. The bond pays interest annually





and matures in 19 years. What is the market price of one of these bonds if the face value is $$1,000?





a. $$481.37


b. $$575.50


c. $$913.56


d. $$929.25



________


2.


Signature Sweets, Inc. has 9 percent semiannual bonds outstanding with 18 years to maturity. The latest



quote on these bonds is 95.50. What is the yield to maturity?





a. 9.00 percent


b. 9.53 percent


c. 9.76 percent


d. 10.27 percent



________


3.


A zero coupon bond has a yield to maturity of 8.35 percent and 10 years until it fully matures. What is




the current price of this bond if the face value is $$1,000?





a. $$441.30


b. $$448.45


c. $$657.60


d. $$664.30



________


4.


An annual, fourteen-year bond is currently selling for $$971.29 and has a yield to maturity of 7.59 percent.




What is the coupon rate of this bond if the face value is $$1,000?





a. 6.25 percent


b. 6.50 percent


c. 7.00 percent


d. 7.25 percent



________


5.


The bonds of XYZ, Inc. are currently quoted at 101.45 and mature in 9 years. The bonds pay a $$35





semiannual coupon. What is the current yield on these bonds?





a. 3.45 percent


b. 3.50 percent


c. 6.78 percent


d. 6.90 percent



________ 6.


A semiannual corporate bond has a face value of $$1,000, a yield to maturity of 8.7 percent, and a coupon





rate of 8.5 percent. The bond matures 15 years from today. This bond:






a. has a current yield of 4.32 percent.





b. sells at a discount.





c. is currently quoted at a price of 101.87.





d. pays interest payments of $$85.00 every six months.



________


7.


The price you receive when you sell a Treasury bond is the _____ price.





a. bid



b. yield


c. call



d. asked



________


8.


Which one of the following statements is correct regarding interest rate risk?





a. A 3-year, 2 percent coupon bond has more interest rate risk than a 5-year, 2 percent coupon bond.





b. A 10-year zero coupon bond has more interest rate risk than a 10-year coupon bond.





c. A 6-year, 9 percent coupon bond has more interest rate risk than a 6-year, 5 percent coupon bond.





d. A 7-year zero coupon bond has more interest rate risk than a 10-year zero coupon bond.



________


9.


An investor is considering two bonds, a 6.25 percent municipal bond and an 8.75 percent taxable bond. If





the investor is in the 28 percent tax bracket, which bond should she chose? Why? Ignore state and local taxes.





a. the taxable bond; it has a higher aftertax yield





b. the taxable bond, it has a lower aftertax yield





c. the municipal bond; it is exempt from all taxes





d. the municipal bond, it has a higher aftertax yield



________


10.


Katie earned 9.5 percent on her investments last year. If her real rate of return was 5.9 percent, what was the




inflation rate for the year?





a. 3.40 percent


b. 3.60 percent


c. 3.80 percent


d. 4.00 percent




7-3

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