1. If
APR = 10%, what is the EAR (effective annual rate) for quarterly compounding?
a. 10.00%
b. 10.38%
c. 12.36%
d. 13.36%
e. 15.52%
2. If the current one year CD rate is 3% and the best
estimate of one year CD which will be available one year from today is 5%, what
is the current two year CD rate with 1% liquidity premium?
a.
4.0%
b.
4.5%
c.
5.0%
d.
5.5%
e.
6.0%
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3. Which
of the following statements is CORRECT, assuming positive interest rates and
holding other things constant?
a. The present value of a 5-year, $250 annuity
due will be lower than the PV of a similar ordinary annuity.
b. A 30-year, $150,000 amortized mortgage will
have larger monthly payments than an otherwise similar 20-year mortgage.
c. A bank loan’s nominal interest rate will
always be equal to or greater than its effective annual rate.
d. If an investment pays 10% interest,
compounded quarterly, its effective annual rate will be greater than 10%.
e. Banks A and B offer the same nominal annual
rate of interest, but A pays interest quarterly and B pays semiannually. Deposits in Bank B will provide the higher
future value if you leave your funds on deposit.
:
4. You
have a chance to buy an annuity that pays $550 at the beginning of each
year for 3 years. You could earn 5.5% on
your money in other investments with equal risk. What is the most you should pay for the
annuity?
a. $1,412.84
b. $1,487.20
c. $1,565.48
d. $1,643.75
e. $1,725.94
5. Your
aunt has $500,000 invested at 5.5%, and she now wants to retire. She wants to withdraw $45,000 at the beginning
of each year, beginning immediately. She
also wants to have $50,000 left to give you when she ceases to withdraw funds
from the account. For how many years can
she make the $45,000 withdrawals and still have $50,000 left in the end?
a. 15.05
b. 16.36
c. 17.22
d. 18.08
e. 18.
6. How much do you need to save each
year from two years from today and onward so that you can have $1,000 six years
from today at 10% interest rate?
a.
$150
b.
$164
c.
$173
d.
$183
e.
$190
7. Jennifer can make a 100,000 down payment to buy a
house. The house is $380,000 and she was offered 30-year mortgage and 15-year
mortgage at a market rate of 12%. How much more interest would Jennifer pay if
she took out a 30-year mortgage instead 15-year mortgage?
a.
$106,430
b. $413,957
c.
$431,959
d.
$450,790
e.
$490,250
8. How long will it take for you to pay off $1,500
charged on your credit card, if you plan to make the minimum payment of $15 per
month and the credit card charges 24% per annum?
a.
10
months
b.
35
months
c.
10
years
d.
863
months
e.
You
may not be able to pay off the debt
9. 5-year
Treasury bonds yield 5.5%. The inflation
premium (IP) is 1.9%, and the maturity risk premium (MRP) on 5-year T-bonds is
0.4%. There is no liquidity premium on these bonds. What is the real risk-free rate, r*?
a. 2.59%
b. 2.88%
c. 3.20%
d. 3.52%
e. 3.87%
10. Suppose the interest rate on a 1-year T-bond is 5.0% and
that on a 2-year T-bond is 7.0%.
Assuming the pure expectations theory is correct, what is the market’s
forecast for 1-year rates 1 year from now?
a. 7.36%
b. 7.75%
c. 8.16%
d. 8.59%
e. 9.04%
a. The yield on a 2 year corporate bond should
always exceed the yield on a 2 year Treasury bond.
b. The yield on a 3 year corporate bond should
always exceed the yield on a 2 year corporate bond.
c. The yield on a 2 year Treasury bond should
always exceed the yield on a 2 year Treasury bond.
d. If inflation is expected to increase, then
the yield on a 2 year bond should exceed that on a 3 year bond.
e. The real risk-free rate should increase if
people expect inflation to increase.
12. 5-year T-bonds yield 4.75%.
The real risk-free rate is r* = 3.60%, and the maturity risk premium for
all bonds is found with the formula MRP = (t – 1) × 0.1%, where t = number of
years to maturity. What inflation
premium (IP) is built into 5-year bond yields using 5-year T-bonds?
a. 0.68%
b. 0.75%
c. 0.83%
d. 0.91%
e. 1.00%
13. Suppose the real risk-free rate is 3.50%, the average
future inflation rate is 2.50%, a maturity premium of 0.2% per year to maturity
applies, i.e., MRP = 0.20%(t), where t is the years to maturity. Suppose also that a liquidity premium of
0.50% and a default risk premium of 1.35% applies to A-rated corporate
bonds. What is the difference in the
yields on a 5-year A-rated corporate bond and on a 10-year Treasury bond? Here we assume that the pure expectations
theory is NOT valid, and disregard any cross-product terms, i.e., if averaging
is required, use the arithmetic average.
a. 0.77%
b. 0.81%
c. 0.85%
d. 0.89%
e. 0.94%
14 What is the relationship between
PVIFA(r%, N) and PVIF(r%, N)?
a. PVIFA is greater than or equal to PVIF
b. PVIF is a sum of PVIFA from n=1 to n=N
c. PVIF is an inverse of PVIFA
d. PVIF is used for an annuity
e. None of the above
15. Ryngaert Inc. recently issued noncallable bonds that mature
in 15 years. They have a par value of $1,000 and an annual coupon of
5.7%. If the current market interest
rate is 7.0%, at what price should the bonds sell?
a. $817.12
b. $838.07
c. $859.56
d. $881.60
e. $903.64
16. Sadik Inc.’s bonds currently sell for $1,180 and have a par
value of $1,000. They pay a $105 annual coupon and have a 15-year maturity,
but they can be called in 5 years at $1,100.
What is their yield to call (YTC)?
a. 6.63%
b. 6.98%
c. 7.35%
d. 7.74%
e. 8.12%
17. In calculating the current price of a bond paying
semiannual coupons, one needs to
a. Use double the number of payments.
b. Use half the annual coupon.
c. Use double the annual market rate as the
discount rate.
d. All of the above need to be done.
e. Only a and b are true.
18. Bonds sell at a premium from par value when market rates
for similar bonds are
a. Less than the bond’s coupon rate.
b. Greater than the bond’s coupon rate.
c. Equal to the bond’s coupon rate.
d. Both lower than and equal to the bond’s
coupon rate.
e. Market rates are irrelevant in determining
a bond’s price.
19. Assume that all interest rates in the economy decline from 10% to 9%. Which of the following bonds would have the largest
percentage increase in price?
a. An 8-year bond with a 9% coupon.
b. A 1-year bond with a 15% coupon.
c. A 3-year bond with a 10% coupon.
d. A 10-year zero coupon bond.
e. A 10-year bond with a 10% coupon.
20. A portfolio with a level of systematic risk less than that
of the market has a beta that is
a. equal to zero.
b. greater than zero but less than one.
c. less than the beta of the risk-free asset.
d. less than zero.
e. equal to infinity.
21. Cooley Company’s stock has a beta of 1.40, the risk-free
rate is4.25%, and the market risk premium is5.50%. What is the firm’s required rate of return?
a. 11.36%
b. 11.65%
c. 11.95%
d. 12.25%
e. 12.55%
22. Consider the following information and then calculate the
required rate of return for the Global Investment Fund, which holds 4
stocks. The market’s required rate of return is 13.25%, the risk-free
rate is 7.00%, and the Fund’s assets are as follows:
Stock Investment Beta
A $200,000 1.50
B $300,000 -0.50
C $500,000 1.25
D $1,000,000 0.75
a. 9.58%
b. 10.09%
c. 10.62%
d. 11.18%
e. 11.77%
23. Stock A has a beta of 0.8 and Stock B has a beta of
1.2. 50% of Portfolio P is invested in
Stock A and 50% is invested in Stock
B. If the market risk premium (rM
? rRF) were to increase but the risk-free rate (rRF)
remained constant, which of the following would occur?
a. The required return would increase for both
stocks but the increase would be greater for Stock B than for Stock A.
b. The required return would decrease by the same amount for both Stock A and
Stock B.
c. The required return would increase for
Stock A but decrease for Stock B.
d. The required return on Portfolio P would remain unchanged.
e. The required return would increase for
Stock B but decrease for Stock A.
24. Consider
the following information and then calculate the projected expected rate of
return for the Global Investment Fund, which holds 3 stocks.
Stock Investment Projected Expected
Return for Each Security
A $200,000 15%
B $300,000 -5%
C $500,000 10%
a. 5.9%
b. 6.5%
c. 7.8%
d. 8.7%
e. 9.5%
25. What is the coefficient of variation
for security b?
|
Probability |
Ra(State=?) |
Rb(State=?) |
|
|
Boom |
0.35 |
0.30 |
0.05 |
|
Average |
0.40 |
0.10 |
0.05 |
|
Recession |
0.25 |
–0.15 |
-0.05 |
a.
1.73
b.
1.89
c.
2.01
d.
2.35
e.
3.01
