Question

In: Finance

1.Can effective rate be greater than the nominal rate? (Given the following notation: annual compounding: M=1,...

1.Can effective rate be greater than the nominal rate? (Given the following notation: annual compounding: M=1, semiannual compounding: M=2)

A. Yes, only when M=1

B. Yes, only when M>1

C. Yes, only when M>2

D. No, effective rate equals the nominal rate regardless of M values

E. None of the above

2. Sue now has $125. How much would she have after 8 years if she leaves it invested at 8.0% with annual compounding?

A. $205

B. $216

C. $231

D. $240

E. $252

3.Ten years ago, Lucas Inc. earned $0.50 per share. Its earnings this year is $2.80. What was the growth rate in earnings per share (EPS) over the 10-year period?

A. 15.17%

B. 15.97%

C. 16.77%

D. 17.61%

E. 18.80%

4. An investment of $222 will increase in value to $313 in four years. The annual compound growth rate is closest to:

A. 5.82%

B. 6.38%

C. 7.64%

D. 8.97%

E. 9.39%

F. None of the above

5. Suppose you inherited $275,000 and invested it at 8.00% per year. How much could you withdraw at the end of each of the next 20 years? A. $28,010

B. $29,959

C. $32,301

D. $33,030

E. $34,681

6. If the real risk-free rate is 1.5% and if inflation was expected to be 2.0% during the next year, the quoted rate of interest on one-year T-bills would be 1.5%.

A. True B. False

7. What is normal yield curve?

A. A yield curve where interest rates on long-term maturities are higher than rates on both short- and intermediate-term.

B. A yield curve where interest rates on intermediate-term maturities are lower than rates on both short- and long-term maturities.

C. A yield curve where real risk-free interest rates are higher than nominal risk-free interest rates.

D. A yield curve where real risk-free interest rates are lower than nominal risk-free interest rates. E. None of above.

8. Which one of the following has the highest effective annual rate?

A. 6 percent compounded annually

B. 6 percent compounded semiannually

C. 6 percent compounded quarterly

D. 6 percent compounded daily

E. 6 percent compounded every 2 years

9. An investment of $231 will increase in value to $268 in three years. The annual compound growth rate is closest to:

A. 4.0%

B. 5.0%

C. 5.5%

D. 6.0%

Solutions

Expert Solution


1.Can effective rate be greater than the nominal rate? (Given the following notation: annual compounding: M=1, semiannual compounding: M=2)
ear=(1+nominal rate/m)^(1/m)-1
B. Yes, only when M>1

2. Sue now has $125. How much would she have after 8 years if she leaves it invested at 8.0% with annual compounding?
=125*1.08^8=231
C. $231

3.Ten years ago, Lucas Inc. earned $0.50 per share. Its earnings this year is $2.80. What was the growth rate in earnings per share (EPS) over the 10-year period?
=(2.8/0.5)^(1/10)-1=18.80%
E. 18.80%

4. An investment of $222 will increase in value to $313 in four years. The annual compound growth rate is closest to:
=(313/222)^(1/4)-1=8.97%
D. 8.97%

5. Suppose you inherited $275,000 and invested it at 8.00% per year. How much could you withdraw at the end of each of the next 20 years?
=PMT(8%,20,275000)=28010
A. $28,010

6. If the real risk-free rate is 1.5% and if inflation was expected to be 2.0% during the next year, the quoted rate of interest on one-year T-bills would be 1.5%.

=1.5%+2%=3.5%
B. False

7. What is normal yield curve?

A. A yield curve where interest rates on long-term maturities are higher than rates on both short- and intermediate-term.

8. Which one of the following has the highest effective annual rate?

D. 6 percent compounded daily


9. An investment of $231 will increase in value to $268 in three years. The annual compound growth rate is closest to:
=(268/231)^(1/3)-1=5.077%
B. 5.0%


Related Solutions

1.a The annual interest rate is 8% with annual compounding. Please calculate effective annual rate, effective...
1.a The annual interest rate is 8% with annual compounding. Please calculate effective annual rate, effective semi-annual rate, effective quarterly rate, effective monthly rate, effective weekly rate (1 year = 52 weeks), effective daily rate (1 year = 365 days). 1.b The annual interest rate is 8% with monthly compounding. Please calculate effective monthly rate, effective annual rate, effective semi-annual rate, effective quarterly rate.
An investment with weekly compounding has an effective rate of 0.123. The nominal rate is:
An investment with weekly compounding has an effective rate of 0.123. The nominal rate is:
(a) Calculate the effective annual rate (EAR) for each, given the nominal rate of 12% (APR)...
(a) Calculate the effective annual rate (EAR) for each, given the nominal rate of 12% (APR) and the following compounding frequencies: (I) quarterly (II) monthly (III) daily. (b) Calculate the nominal rate (APR) for each, given the effective annual rate of 12% (EAR) and the following compounding frequencies: (I) quarterly (II) monthly (III) daily. (c) Calculate the periodic rate in percent for each, given the nominal rate of 12% (APR) and the following compounding frequencies: (I) quarterly (II) monthly (III)...
The annual nominal rate is jm = 0.15pa. What is the effective annual rate as a...
The annual nominal rate is jm = 0.15pa. What is the effective annual rate as a percentage to two decimal places? The number of compounding periods is 8. Enter your answer as a decimal eg 17.42% = .1742 to four decimal places. Accuracy of one basis point. Tip: use excel to get the required accuracy.
Plot by hand effective interest rate versus nominal interest rate for continuous compounding.
Plot by hand effective interest rate versus nominal interest rate for continuous compounding.
When compounding occurs more than once per year, will the annual effective interest rate be higher...
When compounding occurs more than once per year, will the annual effective interest rate be higher or lower than the nominal rate? Use an example to demonstrate your explanation.
Assume a bank offers an effective annual rate of 6.36%. If compounding is monthly what is...
Assume a bank offers an effective annual rate of 6.36%. If compounding is monthly what is the APR? Answer format: Percentage Round to: 4 decimal places (Example: 9.2434%, % sign required. Will accept decimal format rounded to 6 decimal places (ex: 0.092434)) Derek borrows $288,578.00 to buy a house. He has a 30-year mortgage with a rate of 4.58%. The monthly mortgage payment is $________. Derek borrows $322,144.00 to buy a house. He has a 30-year mortgage with a rate...
Is this statement true or false? The effective annual rate is > than the annual percentage...
Is this statement true or false? The effective annual rate is > than the annual percentage rate. Explain your answer.
The U.S. nominal annual rate of interest is 3% and the European annual nominal rate of...
The U.S. nominal annual rate of interest is 3% and the European annual nominal rate of interest on the Euro is 2%. At the same time, the spot exchange rate is $1.20 per Euro and the real interest rate is 2% in both the U.S. and Europe. What is the one year forecast of the U.S. dollar (USD) per Euro spot exchange rate, assuming the international Fisher effect holds? Show work. What is the U.S. dollar (USD) per Euro one-year...
Suppose the annual effective interest rate on an account is 13.2%. Find the equivalent nominal interest...
Suppose the annual effective interest rate on an account is 13.2%. Find the equivalent nominal interest rate compounded monthly, the effective monthly interest rate, the equivalent discount rate compounded monthly, and the effective monthly discount rate.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT