FIN331
Fall 2010 Extra Credit
Dr. Rhee
1.
PVIF(10%, 1)?
a. 0.909
b. 1
c. 1.1
d. 1.21
e. 1.331
Answer: a
2.
What is the relationship between FVIF(r%, N) and PVIF(r%, N)?
a. PVIF is greater than FVIF
b. FVIF is a sum of PVIF from n=1 to n=N
c. PVIF is an inverse of FVIF
d. PVIF is used for an annuity
e. FVIF*PVIF=2.0
Answer: c
3.
You want to buy a $15,000 car. If you borrow money from the dealer, they are willing to give you a 1 year
loan and you need to make a single payment one year from today at zero interest. If you borrow money
from a bank for the same one year period and make a cash payment to the dealer right now (using the
money you borrow from the bank), you can enjoy a $1,000 discount from a dealer. The bank interest rate is
12% and you need to make a single payment one year from today to pay off the debt. Which alternative do
you like better. Basically, you need to borrow money, either from the dealer or from the bank. What is the
difference between the future payments of these two choices?
a. Loan from the dealer, more than $2,000
b. Bank, more than $2,000
c. Loan from the dealer, less than $2,000
d. Bank, less than $2,000
e. Equivalent
Answer: c
4.
Susie Orman argues that you can have more money by saving $100 each month (starting at the end of this
month for 12 deposits) instead of saving $1,200 at the end of each year. To check whether that is true, you
are going to compare saving $600 every six months for a year (starting from 6 months from today for 2
deposits) vis-à-vis $1,200 at the end of the year. What is the future value of $600 saved every six months
for a year at the end of the first year at 10% APR?
a. $1,100
b. $1,135
c. $1,230
d. $1,740
e. $1,200
Answer: c
5.
How long does it take to triple your investment at 6% per year?
a.
b.
c.
d.
7.2 years
10.2 years
12.9 years
14.6 years
e. 18.9 years
Answer: e
6.
Which of followings is NOT the characteristics of a perpetuity?
a. A perpetuity continues for a fixed time period.
b. Value of a perpetuity can be calculated as “PMT/i”
c. In a perpetuity, returns are earned in the form of a series of cash flows.
d. A perpetuity is a constant infinite stream of identical cash flows.
e. Real estate and preferred stock are effectively perpetuities.
Answer: a
7.
If an investment of $87,250 is earning 5% interest rate compounded annually, how long will it take for this
investment to reach a value of $99,750 if no additional withdrawals or no deposits are being made during
the period?
a. 2.47 years
b. 2.52 years
c. 2.74 years
d. 2.61 years
e. 2.83 years
Answer: c
8.
If a security of $17,200 is worth $20,390 three years in the future and assuming that no withdrawals or
deposits are made, what is the implied interest rate that the investor expects to earn on the security?
a. 4.19%
b. 5.84%
c. 6.78%
d. 7.82%
e. 8.24%
Answer: b
9.
Keanu’s financial planner suggested once he crosses a threshold of $4,991,331 in savings, he will have
enough money for retirement. Keanu has nothing saved for his retirement yet, so he has to start depositing
$85,000 in retirement fund at a fixed rate of 12.00% at the end of each year. How long will it take for
Keanu to retire?
a. 15.64 years
b. 18.40 years
c. 23.00 years
d. 24.84 years
e. Keanu will not be able to retire
Answer: b
10.
You’ve decided to buy a house that is valued at $1 million. You have $500,000 as a down payment on the
house and you take out a mortgage for the rest. Your bank is offering you a 30-year standard mortgage at a
fixed nominal rate of 9% or a 15-year mortgage at a fixed nominal rate of 9%. How much larger must your
monthly payment would be?
a. $1,048.22
b. $1,205.45
c. $1,519.92
d. $1,729.56
e. $1,836.69
Answer: a
11.
You’ve decided to buy a house that is valued at $1 million. You have $500,000 as a down payment on the
house and you take out a mortgage for the rest. Your bank is offering you a 30-year standard mortgage at a
fixed nominal rate of 9% or a 15-year mortgage at a fixed nominal rate of 9%. How much more interest
will you pay if you took out a 30-year mortgage instead of a 15-year mortgage?
f. $535,480.20
g. $631,866.64
h. $685,414.66
i. $738,962.68
j. $876,543.21
Answer: a
12.
How long will it take for you to pay off $1,000 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 years
b. 12 years
c. 15 years
d. 17 years
e. You may not be able to pay off the debt
Answer: e
13.
Which of the following investments would have the lowest present value? Assume that the effective
annual rate for all investments is the same and is greater than zero.
a.
b.
Investment A pays $250 at the end of every year for the next 10 years (a total of 10 payments).
Investment B pays $125 at the end of every 6-month period for the next 10 years (a total of 20
payments).
c. Investment C pays $125 at the beginning of every 6-month period for the next 10 years (a total of 20
payments).
d. Investment D pays $2,500 at the end of 10 years (just one payment).
e. Investment E pays $250 at the beginning of every year for the next 10 years (a total of 10 payments).
Answer: d
14.
Which of the following statements is CORRECT?
a.
b.
c.
d.
The cash flows for an ordinary annuity all occur at the beginning of the periods.
If a series of unequal cash flows occurs at regular intervals, then the series is an annuity.
The cash flows for an annuity due must all occur at the ends of the periods.
The cash flows for an annuity must all be equal, and they must occur at regular intervals, such as once
a year or once a month.
e. If some cash flows occur at the beginning of the periods while others occur at the ends, then we have
what the textbook defines as a variable annuity.
Answer: d
15.
You have 2 options to buy a membership. One is to pay $5,000 upfront today and the other one is to pay
$500 each year starting today. If the prevailing discount rate is 8%, how many years do you remain as a
member before the $500 annual payment becomes more expensive than the one-time membership?
a. 14.5 years
b. 17.5 years
c. 18.5 years
d. 19.5 years
e. 21.5 years
Answer: b
16.
You observed an upward-sloping normal yield curve. Which of following statement is the MOST correct?
a.
b.
c.
Pure expectation theory must be correct.
There is a positive maturity risk premium.
If the pure expectation theory is correct, future (short-term) rates are expected to be higher than current
(short-term) rates.
d. Inflation must be expected to change in the future.
e. Default risk premium or liquidity premium must be increasing in the future.
Answer: c
17.
Charles Townsend Agency issues 15-year, AA-rated bonds. What is the yield on these bonds? Disregard
cross-product terms, i.e., if average is necessary, use the arithmetic average.
Relationship between bond ratings and DRP
Rating
Default Risk Premium
U.S. Treasury
AAA
0.60%
AA
0.80%
A
1.05%
BBB
1.45%
Real risk-free rate (r*) = 2.8% (expected to remain constant)
Inflation rate = 5%/yr for each of next five years, 4% thereafter
MRP = 0.1*(t – 1)%, t is the security’s maturity, LP = 0.55%
a. 5.55%
b. 8.48%
c. 9.33%
d. 9.88%
e. 10.12%
Answer: d
18.
The yield on a one-year Treasury security is 5.84%, and two-year Treasury security has a 7.88% yield.
Suppose the securities do not have a maturity risk premium, what is the market’s estimate of the one-year
Treasury rate one year from now?
a. 8.118%
b. 9.55%
c. 9.92%
d. 11.354%
e. 12.129%
Answer: b
19.
Assume a scenario in which there is no maturity risk premium (MRP = 0) and the real risk-free rate is
expected to remain constant, and the yield curve is likely to be normal for the next 10 years. Is inflation
expected to increase, decrease, or stay the same over the next 10 years?
a. Stay the same
b. Decrease
c. Increase
d. Increase at first and then decrease
e. None of above
Answer: c
20.
Crockett Corporation's 5-year bonds yield 6.65%, and 5-year T-bonds yield 4.75%. The real risk-free rate
is r* = 3.60%, the default risk premium for Crockett's bonds is DRP = 1.00% versus zero for T-bonds, the
liquidity premium on Crockett's bonds is LP = 0.90% versus zero for T-bonds, 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?
a. 0.68%
b. 0.75%
c. 0.83%
d. 0.91%
e. 1.00%
Answer: b
21.
Assume that interest rates on 20-year Treasury and corporate bonds are as follows:
T-bond = 7.72%
AAA = 8.72%
A = 9.64%
BBB = 10.18%
The differences in these rates were probably caused primarily by:
a. Tax effects
b. Default risk differences
c. Maturity risk differences
d. Inflation differences
e. Real risk-free rate differences
Answer: b
22.
If 0R1=5%, E(1R2)=4%, what is 0R2 according to the Expectations Hypothesis?
a.
3%
b.
3.5%
c.
4%
d.
4.5%
e.
5%
Answer: d
23.
David Cone is concerned about the interest rate changes for his fixed income investment. He looked at the
treasury yield curve on Wall Street Journal and observed a normal yield curve. Based on this observation,
which of the following statements is correct?
a.
b.
Companies must have more investment opportunities now than they expected to have in the future
Future short-term interest rates are expected to be higher than current short-term interest rates
assuming the pure expectation theory holds.
c. Maturity risk premium is positive
d. Inflation must be expected to increase in the future
e. Expectation theory must be correct
Answer: b
24.
A bond trader observes the following information:



The Treasury yield curve is downward sloping.
Empirical data indicate that a positive maturity risk premium applies to both Treasury and corporate bonds.
Empirical data also indicate that there is no liquidity premium for Treasury securities but that a positive
liquidity premium is built into corporate bond yields.
On the basis of this information, which of the following statements is most CORRECT?
a.
b.
c.
d.
e.
A 10-year corporate bond must have a higher yield than a 5-year Treasury bond.
A 10-year Treasury bond must have a higher yield than a 10-year corporate bond.
5-year corporate bond must have a higher yield than a 10-year Treasury bond.
The corporate yield curve must be flat.
Since the Treasury yield curve is downward sloping, the corporate yield curve must also be downward
sloping.
Answer: c
25.
If the current one year CD rate is 5% and the best estimate of one year CD which will be available one year
from today is 7%, what is the current two year CD rate with 1% liquidity premium?
a.
5.0%
b.
5.5%
c.
6.0%
d.
6.5%
e.
7.0%
Answer: e
26.
In July 2009, Hungary successfully issued 1 billion euros in bonds. The transaction was managed by
Citigroup. Who is the issuer and what is the category of bonds issued?
a. Citigroup,
b. The bank of Budapest,
c. The Hungarian government,
d. The New York Citibank,
e. The Hungarian government,
Answer: c
Corporate bonds
Municipal bonds
Foreign government bonds
Sinking bonds
T-bonds
27.
Roen is planning to invest in five-year 15% annual coupon bonds with a face value of $1,000 each.
Calculate number to fill the blanks in the table and identify which one is the premium bond if the market is
at equilibrium.
Bond
Discount Rate
Bond Value
Current Yield
Bond A
(1)
$1,189.54
12.61%
Bond B
15.00%
(2)
15.00%
Bond C
16.40%
$954.58
(3)
a.
9.00%,
$988.76, 14.47%, bond A
b. 10.00%, $1,000.00, 15.71%, bond A
c. 11.00%, $1,100.00, 15.92%, bond B
d. 12.24%, $1,000.00, 16.00%, bond B
e. 10.00%, $1,250.00, 16.12%, bond C
Answer: b
28.
Assume that a $1 million par value, semiannual coupon U.S. Treasury note with five years to maturity has a
coupon rate of 6%. The YTM of the bond is 11.00%. What is the value of the T-note?
a. $511,282.39
b. $689,825.45
c. $973,871.22
d. $811,559.35
e. $987,654.32
Answer: d
29.
Duff Brewing Co. has 9% annual coupon bonds that are callable and have 18 years left until maturity. The
bonds have a par value of $1,000 and their current market price is $1,190.35. However, Duff Brewing Co.
may call the bonds in 8 years at a call price of $1,060. What are the YTM and YTC, respectively? Also, if
Duff Brewing Co. issues new bonds today, what coupon rate must the bonds to be issued at par?
a.
b.
c.
YTM
6.09%,
7.09%,
8.09%,
YTC
5.47%,
6.47%,
7.47%,
Coupon Rate
6.09%
7.09%
7.47%
d. 8.92%,
e. 9.23%,
Answer: b
31.
8.82%,
9.32%,
8.82%
9.32%
The following bond list is from the business section of a newspaper on January 1, 2005 (all are semi-annual
bonds). Prices are stated relative to the par value of $100. Calculate what number should be in the blank
and indicate which bond is not trading at discount.
Company
Coupon
Maturity
Last Price
Last Yield
EST
Spread
UST
(Years)
01-01$82.25
11.11%
6.20
2015
Chapman,
01-019.625%
$80.48
12.05%
7.15
Inc.
2035
01-01Rust, Inc.
4.500%
5.62%
1.37
2010
Murphy &
01-015.375%
$101.02
5.14%
0.89
Co.
2010
01-01Pickman, Inc. 7.750%
$93.11
8.80%
3.89
2015
Last Price & Last Yield: bond’s price and YTM at the end of trading.
EST Spread: bond’s spread above the relevant U.S. Treasury benchmark (percentage).
UST: relevant maturity of U.S. Treasury benchmark for each bond.
EST Volume: # of bonds traded during the day.
Schubert, Inc.
a. $88.27,
b. $95.23,
c. $95.18,
d. $100.40,
e. $102.80,
Answer: c
31.
8.125%
EST
Volume
(1000s)
10
72,070
30
65,275
5
59,277
5
57,465
10
56,305
Rust, Inc.
Murhpy & Co.
Murhpy & Co.
Pickman, Inc.
Schubert, Inc.
A 15-year bond with a face value of $1,000 currently sells for $850. Which of the following statements is
CORRECT?
a. The bond’s coupon rate exceeds its current yield.
b. The bond’s current yield exceeds its yield to maturity.
c. The bond’s yield to maturity is greater than its coupon rate.
d. The bond’s current yield is equal to its coupon rate.
e. If the yield to maturity stays constant until the bond matures, the bond’s price will remain at $850.
Answer: c
32.
McCue Inc.'s bonds currently sell for $1,250. They pay a $90 annual coupon, have a 25-year maturity, and
a $1,000 par value, but they can be called in 5 years at $1,050. What is the difference between this bond's
YTM and its YTC?
a. 2.62%
b. 2.88%
c. 3.17%
d. 3.48%
e. 3.83%
Answer: a
33.
Taussig Corp.'s bonds currently sell for $1,150. They have a 6.35% annual coupon rate and a 20-year
maturity, but they can be called in 5 years at $1,067.50. Assume that no costs other than the call premium
would be incurred to call and refund the bonds, and also assume that the yield curve is horizontal, with
rates expected to remain at current levels on into the future. Under these conditions, what rate of return
should an investor expect to earn if he or she purchases these bonds?
a. 3.42%
b. 3.60%
c. 3.79%
d. 3.99%
e. 4.20%
Answer: e
34.
Limitless Energy, Inc. is considering to issue 8.8% semi-annual coupon bonds with 15 years to maturity.
The bonds are selling at $965.75 with a par value of $1,000. What rate of return are investors expected to
earn?
a. 4.61%
b. 9.24%
c. 9.05%
d. 8.79%
e. 7.90%
Answer: b
35.
Consider a 10 year semi-annual coupon paying bond with a face value=$1,000 and a coupon rate=8%.
What is the PV of the bond at 8% discount rate? If the market price of the bond is $1,050, would you buy
the bond?
a. $909.09, Buy
b. $1010.10, Buy
c. $909.09, Don’t
d. $1000, Don’t
e. $1000.00, Buy
Answer: d
36.
A tax-free muni yields 7.5% and the before-tax equivalent yield of a corporate bond is 10%, what is your
tax bracket?
a. 25%
b. 30%
c. 33%
d. 35%
e. 40%
Answer: a
37.
Which one has the lowest priority?
a. Suppliers
b. Secured bonds
c. Junior bonds
d. Senior debenture
e. Unsecured bonds
Answer: c
38.
You are considering two investment opportunities with $900. One is to invest in a two year CD at 10% per
annum. The other is to invest in a two year annual coupon paying bond with a coupon rate=8% and
FV=$1,000. What is the YTM of the bond? Are you going to invest in the CD or not?
a. 12%,
b. 13%,
c. 12%,
d. 14%,
e. 14%,
Answer: d
39.
Yes
Yes
No
No
Yes
Warren holds a small portfolio of 4 stocks as below.
Stock
Artemis, Inc.
Babish & Co.
Cornell Industries
Danforth Motors
Percentage of Portfolio
20%
30%
35%
15%
Expected Return
8%
14%
12%
3%
Standard Deviation
23%
27%
30%
32%
What is expected return of the portfolio?
a. 7.84%
b. 8.11%
c. 9.68%
d. 10.45%
e. 15.68%
Answer: d
40.
Bill has below portfolio consists of two stocks; Blue Ocean, Inc. and Red Ocean Corp. He invested 75% in
Blue Ocean, Inc. and the rest in Red Ocean Corp.
Market Condition
Strong
Normal
Weak
Probability
0.20
0.35
0.45
Blue Ocean, Inc.
38%
23%
-30%
Red Ocean Corp.
53%
30%
-38%
Based on the information, calculate expected rate of return of (1) Blue Ocean, Inc., (2) Red Ocean Corp.,
and (3) portfolio.
a. 1.80%,
b. 2.15%,
c. 3.69%,
d. 4.19%,
e. 5.16%,
Answer: b
41.
2.78%,
4.00%,
4.19%,
5.16%,
5.49%,
1.54%
2.61%
3.15%
3.82%
4.42%
Below table describes historically realized returns on Towson, Inc.
Stock Return
2005
12.50%
2006
8.50%
2007
15.00%
2008
21.00%
2009
6.50%
Calculate (1) average realized return, and coefficient of variation. (Hint: standard deviation is 5.71%)
a. 12.70%,
b. 25.40%,
c. 31.75%,
d. 39.37%,
e. 40.18%,
Answer: a
0.48
0.55
0.69
0.72
0.84
42.
Data for Dana Industries is shown below. Now Dana acquires some risky assets that cause its beta to
increase by 30%. What is the stock's new required rate of return?
Initial beta
Risk free rate (rs)
Market risk premium, RPM
1.00
6.20%
6.00%
a. 14.00%
b. 14.70%
c. 15.44%
d. 16.21%
e. 17.02%
Answer: a
43
If you expect (=demand=require) 10% return on security A and 12% return on security B, what causes such
a disparity?
a. real risk free rate
b. expected inflation rate
c. risk premium
d. A & B
e. B& C
Answer: c
44.
Given that a (nominal) risk free rate is 2% and the market average return is expected to be 5%, what is the
market risk premium (=slope of the SML)? Determine the required rate of return for a security with a beta
of 1.5.
a. 3%,
b. 5%,
c. 3%,
d. 5%,
e. 3%,
Answer: a
45.
6.5%
9.5%
9.5%
6.5%
10.5%
If US T-Bill has 4% return, what is the risk premium of an investment which has 7% required rate of return?
a. 3%
b. 4%
c. 5%
d. 5.5%
e. 7%
Answer: a
46.
During the coming year, the market risk premium (r M − rRF), is expected to fall, while the risk-free rate, rRF,
is expected to remain the same. Given this forecast, which of the following statements is CORRECT?
a.
The required return will increase for stocks with a beta less than 1.0 and will decrease for stocks with a
beta greater than 1.0.
b. The required return on all stocks will remain unchanged.
c. The required return will fall for all stocks, but it will fall more for stocks with higher betas.
d. The required return for all stocks will fall by the same amount.
e. The required return will fall for all stocks, but it will fall less for stocks with higher betas.
Answer: c
47.
Which of the following statements best describes what you should expect if you randomly select stocks and
add them to your portfolio?
a. Adding more such stocks will reduce the portfolio's unsystematic, or diversifiable, risk.
b. Adding more such stocks will increase the portfolio's expected rate of return.
c. Adding more such stocks will reduce the portfolio's beta coefficient and thus its systematic risk.
d. Adding more such stocks will have no effect on the portfolio's risk.
e. Adding more such stocks will reduce the portfolio's market risk but not its unsystematic risk.
Answer: a
48.
Which of the following statements is CORRECT? (Assume that the risk-free rate is a constant.)
a.
If the market risk premium increases by 1%, then the required return will increase for stocks that have
a beta greater than 1.0, but it will decrease for stocks that have a beta less than 1.0.
b. The effect of a change in the market risk premium depends on the slope of the yield curve.
c. If the market risk premium increases by 1%, then the required return on all stocks will rise by 1%.
d. If the market risk premium increases by 1%, then the required return will increase by 1% for a stock
that has a beta of 1.0.
e. The effect of a change in the market risk premium depends on the level of the risk-free rate.
Answer: d
49.
Jill Angel holds a $200,000 portfolio consisting of the following stocks. The portfolio's beta is 0.875.
Stock
A
B
C
D
Total
Investment
$ 50,000
50,000
50,000
50,000
$200,000
Beta
0.50
0.80
1.00
1.20
If Jill replaces Stock A with another stock, E, which has a beta of 1.50, what will the portfolio's new beta be?
a. 1.07
b. 1.13
c. 1.18
d. 1.24
e. 1.30
Answer: b
50.
Mikkelson Corporation's stock had a required return of 11.75% last year, when the risk-free rate was
5.50% and the market risk premium was 4.75%. Then an increase in investor risk aversion caused the
market risk premium to rise by 2%. The risk-free rate and the firm's beta remain unchanged. What is the
company's new required rate of return? (Hint: First calculate the beta, then find the required return.)
a. 14.38%
b. 14.74%
c. 15.11%
d. 15.49%
e. 15.87%
Answer: a