Name: ______
ID number: ______
FIN 406
QUIZ 1
October 3, 2002
Instructions:Circle the best answer for each question in the exam. There are 45 questions and each question is worth 1 point. The exam is a closed book and closed notes exam.
1.Why are derivatives potentially dangerous?
a.They involve leverage
b.They are used to hedge
c.They are a tool for risk management
d.There are more than 1200 different derivatives on the market
2.Financial assets ______means by which individuals hold claims on real assets. Financial assets ______directly to the productive capacity of the economy.
a.are; contribute
b.are; do not contribute
c.are not; contribute
d.are not; do not contribute
3.Asset allocation refers to the ______.
a.allocation of the investment portfolio across broad asset classes
b.analysis of the value of securities
c.choice of specific assets within each asset class
d.none of the above
4.______portfolio management calls for holding diversified portfolios without spending effort or resources attempting to improve investment performance through security analysis.
a.active
b.idiotic
c.passive
d.none of the above
5.The most important feature of municipal bonds is their ______.
a.safety
b.liquidity
c.tax-exempt status
d.convertibility
6.______is not a characteristic of a money market instrument.
a.liquidity
b.marketability
c.low risk
d.long maturity
7.Financial intermediaries exist because small investors cannot efficiently ______.
a.diversify their portfolios
b.gather information
c.monitor their portfolios
d.all of the above
8.When computing the bond equivalent yield in a leap year, you would use ______days.
a.260
b.360
c.365
d.366
9.The bid price of a treasury bill is ______.
a.the price at which the dealer in treasury bills is willing to sell the bill
b.the price at which the dealer in treasury bills is willing to buy the bill
c.greater than the ask price of the treasury bill expressed in dollar terms
d.the price at which the investor can buy the treasury bill
10.In a futures contract, the long position is taken by the person who ______.
a.commits to delivering the commodity
b.commits to purchasing the commodity
c.plays between second base and third base
d.uses his margin
11.A ______gives its holder the right to buy an asset for a specified exercise price on or before a specified expiration date.
a.call option
b.futures contract
c.put option
d.none of the above
12.A treasury bill has a face value of $10,000 and is selling for $9,800. If the treasury bill matures in 80 days, its bank discount yield is ______.
a.2.04%
b.9.46%
c.9.00%
d.9.66%
13.The bond equivalent yield on a treasury bill is 5%. The price of the bill is ______if it matures in 60 days and has a face value of $1,000.
a.$950.00
b.$990.67
c.$991.85
d.none of the above
14.If the market prices of the 30 stocks in the Dow Jones Industrial Average all change by the same dollar amount on a given day (ignoring stock splits), which stock will have the greatest impact on the average?
a.the one with the highest price
b.the one with the lowest price
c.all 30 stocks will have the same impact
d.the answer cannot be determined by the information given
15.Which of the following are not characteristic of common stock ownership?
a.residual claimant
b.unlimited liability
c.voting rights
d.all of the above are characteristics of stock ownership
16.Assume that you have just purchased some shares in an investment company reporting $300 million in assets, $20 million in liabilities, and 28 million shares outstanding. What is the net asset value of these shares?
a.$10
b.$9.33
c.$15
d.$1.50
17.Sponsors of unit investment trusts earn a profit by ______.
a.deducting a quarterly management fee from fund assets
b.deducting a percentage of any gains in asset value
c.selling shares in the trust at a premium to the cost of acquiring the underlying assets
d.none of the above
18.Investors who wish to liquidate their holding in a closed-end fund may ______.
a.sell their shares back to the trustee at a discount
b.sell their shares back to the trustee at net asset value
c.sell their shares on the open market
d.none of the above
19.______is a false statement regarding open-end mutual funds.
a.they offer investors a guaranteed rate of return
b.they offer investors a well diversified portfolio
c.they redeem their shares at their net asset value
d.none of the above
20.Mutual funds that vary the proportions of funds invested in particular market sectors according to the fund manager’s forecast of the performance of that market sector are called ______.
a.asset allocation funds
b.balanced funds
c.index funds
d.income funds
21.Over the past two decades, actively managed funds have tended to ______index funds.
a.outperform
b.perform equivalently to
c.underperform
d.no consistent relationship between the performance of actively managed funds and passively managed funds has been documented.
22.The stage an individual is in his/her life cycle will affect his/her ______.
a.return requirement
b.risk tolerance
c.both a. and b.
d.neither a. nor b.
23.The ______average ignores compounding.
a.geometric
b.arithmetic
c.both a and b above
d.none of the above
24.Of the alternatives available, ______typically have the lowest standard deviation of returns.
a.commercial paper
b.corporate bonds
c.stocks
d.treasury bills
25.If you purchase a stock for $50, receive dividends of $2, and sell the stock at the end of the year for $55, what is your holding period return?
a.5%
b.10%
c.14%
d.18%
26.The arithmetic average of 10%, 15%, and 20% is ______.
a.15.7%
b.15%
c.17.2
d.20%
27.The geometric average of 10%, 20% and 30% is ______.
a.14.9%
b.18.2%
c.19.7%
d.23%
28.The dollar weighted return is the same as the ______.
a.difference between cash inflows and outflows
b.arithmetic average return
c.geometric average return
d.internal rate of return
29.Suppose you pay $9,750 for a Treasury bill maturing in three months. What is the effective annual rate of return for this investment?
a.3.1%
b.13%
c.8.42%
d.10.65%
30.The reward/variability ratio is given by ______.
a.the slope of the capital allocation line
b.the second derivative of the capital allocation line
c.the point at which the second derivative of the investor’s indifference curve reaches zero.
d.none of the above.
31.If you require a real growth in the purchasing power of your investment of 8%, and you expect the rate of inflation over the next year to be 3%, what is the lowest nominal return that you would be satisfied with? (exact rate, not approximation)
a.3%
b.8%
c.11%
d.11.24%
32.A Treasury bill pays a 6% rate of return. A risk averse investor ______invest in a risky portfolio that pays 12% with a probability of 40% or 2% with a probability of 60% because ______.
a.might; she is rewarded a risk premium
b.would not; because she is not rewarded any risk premium
c.would not; because the risk premium is small
d.cannot be determined
33.Consider a treasury bill with a rate of return of 5% and the following risky securities:
Expected ReturnVariance
A0.150.0400
B0.150.0225
C0.120.1000
D0.130.0625
The investor must develop a complete portfolio by combining the risk-free asset with one of the securities mentioned above. The security the investor would choose as part of his complete portfolio would be ______.
a.security A
b.security B
c.security C
d.security D
34.An investor invests 40% of his wealth in a risky asset with an expected rate of return of 15% and a variance of 4% and 60% in a treasury bill that pays 6%. The portfolio’s expected rate of return and standard deviation are ______and ______.
a.8.0%; 12%
b.9.6%; 8%
c.9.6%; 10%
d.11.4%; 12%
35.Consider the following two investment alternatives. First, a risky portfolio that pays 15% rate of return with a probability of 60% or 5% with a probability of 40%. Second, a treasury bill that pays 10%. The risk premium on the risky investment is
a.1%
b.5%
c.9%
- 7%
36.You invest $100 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 12% and a standard deviation of 15% and a treasury bill with a rate of return of 5%. ______of your money should be invested in the risky asset to form a portfolio with an expected return of 7%.
a.28%
b.86%
c.57%
- 50%
37.A portfolio is composed to two stocks, A and B. Stock A has a standard deviation of return of 25% while stock B has a standard deviation of return of 5%. Stock A comprises 20% of the portfolio while stock B comprises 80% of the portfolio. If the variance of returns on the portfolio is 0.0050, the correlation coefficient between the returns on A and B is ______.
a.-0.225
b.-0.474
c.0.474
- 0.225
38.The standard deviation of return on investment A is 0.1 while the standard deviation of return on investment B is 0.05. If the covariance of returns on A and B is 0.00385, the correlation coefficient between the returns A and B is ______.
a.0.12
b.0.36
c.0.60
- 0.77
39.An investor can design a risky portfolio based on two stocks, A and B. The standard deviation of return on stock A is 20% while the standard deviation on stock stock B is 15%. The correlation coefficient between the return on A and B is 0.The expected return on stock A is 20% while on stock B is 10%. The proportion of the minimum variance portfolio that would be invested in stock B is ______.
a.6%
b.50%
c.64%
d.100%
40.A portfolio is composed of two stocks, A and B. Stock A has a standard deviation of return of 5% while stock B has a standard deviation of return of 15%. The correlation coefficient between the returns on A and B is 0.8. Stock A comprises 40% of the portfolio while stock B comprises 60% of the portfolio. The variance of return on the portfolio is ______.
a.0.0056
b.0.0067
c.0.0114
- 0.0103
41.According to Tobin’s separation property, portfolio choice can be separated into two independent tasks consisting of ______and ______.
a.identifying all investor imposed constraints; identifying the set of securities that conform to the investor’s constraints and offer the best risk-return tradeoff
b.identifying the investor’s degree of risk aversion; choosing securities from industry groups that are consistent with the investor’s risk profile
c.identifying the optimal risky portfolio; constructing a complete portfolio from the T-bills and the optimal risky portfolio based on the investor’s degree of risk aversion
d.none of the above answers is correct.
42.The values of beta coefficients of securities are ______.
a.always positive
b.always negative
c.always between +1 and –1
d.usually positive, but not restricted in any particular way
43.Rational risk-averse investors will always prefer portfolios ______.
a.located on the efficient frontier to those located on the capital market line
b.located on the capital market line to those located on the efficient frontier
c.at or near the minimum variance point on the efficient frontier
d.rational risk-averse investors prefer the risk-free asset to all others
44.Risk that can’t be eliminated through diversification is called ______risk
a.firm-specific
b.unique
c.both of the above
- none of the above
45.The term excess returns refers to ______.
a.returns earned illegally by means of insider trading
b.the difference between the rate of return earned and the risk-free rate
c.the difference between the rate of return earned on a particular security and the rate of return earned on other securities of equivalent risk
d.the portion of the return on a security which represents tax liability and therefore cannot be reinvested
Answers to QUIZ 1
(Since the correct answers are circled in red pen on your returned quizzes, only the work for computational questions are provided here.)
12.Bank discount yield = (face value – price)/face value x 360/80 = 9%
13.Bond equivalent yield = (face value – price)/price x 365/60
0.05 = (1000-P)/P x 365/60 solving for P yields $991.85
16.NAV = (assets-liabs)/shares outstanding = (300m-20m)/28m = $10
25.Return = (selling price +dividend)/purch price - 1 = (55+2)/50 - 1 = 14%
26.Arithmetric average = (0.10 + 0.15 + 0.20)/3 = 0.15 = 15%
27.Geometric average = ((1.1)(1.2)(1.30))1/3 –1 = 19.7%
29.Holding period return = (10,000-9,750)/9,750 = 0.025641
EAR = (1.025641)4 - 1 = 0.1065 = 10.65%
31.(1 + nom rate) = (1+real rate)(1+inflation rate)
= (1.08)(1.03) = 1.1124 so nominal rate = 11.24%
32.Expected return on the risky portfolio = (0.4)(0.12) + (0.6)(0.02) = 0.06
No point in investing in the risky portfolio since you can get the same rate of return from the risk free asset (there is no risk premium)
33.Calculate the slope of the CAL between the risk free asset and each of the risky securities. Slope of the CAL
= (Expected return on risky asset – risk free rate)/std dev of risky asset
For A:(0.15-0.05)/sqr root of 0.0400 = 0.5
For B:= 0.66
For C:= 0.22
For D:= 0.32
Security B is best since it allows for a CAL with the highest slope.
34.Expected return on portfolio = (0.4)(0.15) + (0.6)(0.06) = 0.096
Standard deviation = (0.4)(sqr root of 0.04) = 0.08
35.Expected return on risky portfolio = (0.6)(0.15)+(0.4)(0.05) = 0.11
The risk premium = 0.11 – risk free rate = 0.11-0.10 = 0.01
36.Expected return on portfolio = x(0.12) + (1-x)(0.05)
We want the expected return to equal 0.07 so
0.07 = x(0.12) + (1-x)(0.05) solving for x yields 28%
37.using the equation for variance of returns on a portfolio:
0.0050 = (0.2)2(0.25)2 + (0.8)2(0.05)2 + 2(0.2)(0.8)(0.25)(0.05)(corr)
solving for correlation yields 0.225
38.correlation coeff = covariance/(std dev of A x std dev of B)
= 0.00385/(0.1*0.05) = 0.77
39.using the equation for solving the weight of asset B in the minimum variance portfolio
= (0.2)2 - (0.2)(0.15)(0)
(0.15)2 + (0.2)2 - 2(0.2)(0.15)(0)
= 0.64 = 64%
40.using the equation for variance of returns on a portfolio
= (0.4)2(0.05)2 + (0.6)2(0.15)2 + 2(0.4)(0.6)(0.05)(0.15)(0.8)
= 0.0004 + 0.0081 + (0.00288) = 0.01138
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