Investments Zvi Bodie 11e - Test Bank

Investments Zvi Bodie 11e – Test Bank

 

Instant Download – Complete Test Bank With Answers

 

 

Sample Questions Are Posted Below

 

Chapter 06 Test Bank – Static

Student: ___________________________________________________________________________

 

Multiple Choice Questions

 

1. Which of the following statements regarding risk-averse investors is true?

 

1. They only care about the rate of return.
2. They accept investments that are fair games.
3. They only accept risky investments that offer risk premiums over the risk-free rate.
4. They are willing to accept lower returns and high risk.
5. They only care about the rate of return, and they accept investments that are fair games.

 

2. Which of the following statements is(are) true?

 

1. I) Risk-averse investors reject investments that are fair games.
2. II) Risk-neutral investors judge risky investments only by the expected returns.

III) Risk-averse investors judge investments only by their riskiness.

1. IV) Risk-loving investors will not engage in fair games.

 

1. I only
2. II only
3. I and II only
4. II and III only
5. II, III, and IV only

 

3. Which of the following statements is(are) false?

 

1. I) Risk-averse investors reject investments that are fair games.
2. II) Risk-neutral investors judge risky investments only by the expected returns.

III) Risk-averse investors judge investments only by their riskiness.

1. IV) Risk-loving investors will not engage in fair games.

 

1. I only
2. II only
3. I and II only
4. II and III only
5. III and IV only

 

4. In the mean-standard deviation graph, an indifference curve has a ________ slope.

 

1. negative
2. zero
3. positive
4. vertical
5. Cannot be determined.

 

5. In the mean-standard deviation graph, which one of the following statements is true regarding the indifference

curve of a risk-averse investor?

 

1. It is the locus of portfolios that have the same expected rates of return and different standard deviations.
2. It is the locus of portfolios that have the same standard deviations and different rates of return.
3. It is the locus of portfolios that offer the same utility according to returns and standard deviations.
4. It connects portfolios that offer increasing utilities according to returns and standard deviations.
5. None of the options are correct.

 

6. In a return-standard deviation space, which of the following statements is(are) true for risk-averse investors?

(The vertical and horizontal lines are referred to as the expected return-axis and the standard deviation-axis, respectively.)

 

1. I) An investor’s own indifference curves might intersect.
2. II) Indifference curves have negative slopes.

III) In a set of indifference curves, the highest offers the greatest utility.

1. IV) Indifference curves of two investors might intersect.

 

1. I and II only
2. II and III only
3. I and IV only
4. III and IV only
5. None of the options are correct.

 

7. Elias is a risk-averse investor. David is a less risk-averse investor than Elias. Therefore,

 

1. for the same risk, David requires a higher rate of return than Elias.
2. for the same return, Elias tolerates higher risk than David.
3. for the same risk, Elias requires a lower rate of return than David.
4. for the same return, David tolerates higher risk than Elias.
5. Cannot be determined.

 

8. When an investment advisor attempts to determine an investor’s risk tolerance, which factor would they be least

likely to assess?

 

1. The investor’s prior investing experience
2. The investor’s degree of financial security
3. The investor’s tendency to make risky or conservative choices
4. The level of return the investor prefers
5. The investor’s feelings about loss

 

9. Assume an investor with the following utility function: U = E(r) – 3/2(s2).

 

To maximize her expected utility, she would choose the asset with an expected rate of return of _______ and a standard deviation of ________, respectively.

 

1. 12%; 20%
2. 10%; 15%
3. 10%; 10%
4. 8%; 10%

 

10. To maximize her expected utility, which one of the following investment alternatives would she choose?

 

Assume an investor with the following utility function: U = E(r)  3/2(s2).

 

1. A portfolio that pays 10% with a 60% probability or 5% with 40% probability.
2. A portfolio that pays 10% with 40% probability or 5% with a 60% probability.
3. A portfolio that pays 12% with 60% probability or 5% with 40% probability.
4. A portfolio that pays 12% with 40% probability or 5% with 60% probability.

 

11. A portfolio has an expected rate of return of 0.15 and a standard deviation of 0.15. The risk-free rate is 6%. An

investor has the following utility function: U = E(r)  (A/2)s2. Which value of A makes this investor indifferent

between the risky portfolio and the risk-free asset?

 

1. 5
2. 6
3. 7
4. 8

 

12. According to the mean-variance criterion, which one of the following investments dominates all others?

 

1. E(r) = 0.15; Variance = 0.20
2. E(r) = 0.10; Variance = 0.20
3. E(r) = 0.10; Variance = 0.25
4. E(r) = 0.15; Variance = 0.25
5. None of these options dominates the other alternatives.

 

13. Consider a risky portfolio, A, with an expected rate of return of 0.15 and a standard deviation of 0.15, that lies on a given indifference curve. Which one of the following portfolios might lie on the same indifference curve for a risk averse investor?

 

1. E(r) = 0.15; Standard deviation = 0.20
2. E(r) = 0.15; Standard deviation = 0.10
3. E(r) = 0.10; Standard deviation = 0.10
4. E(r) = 0.20; Standard deviation = 0.15
5. E(r) = 0.10; Standard deviation = 0.20

 

14. Use the below information to answer the following question.

 

 

U = E(r ) – (A/2)s2,where A = 4.0.

 

Based on the utility function above, which investment would you select?

 

1. 1
2. 2
3. 3
4. 4
5. Cannot be determined from the information given.

 

15. Use the below information to answer the following question.

 

 

U = E(r ) – (A/2)s2

 

Which investment would you select if you were risk neutral?

1. 1
2. 2
3. 3
4. 4
5. Cannot be determined from the information given.

 

16. Use the below information to answer the following question.

 

 

U = E(r )  (A/2)s2,where A = 4.0.

 

The variable (A) in the utility function represents the

 

1. investor’s return requirement.
2. investor’s aversion to risk.
3. certainty-equivalent rate of the portfolio.
4. minimum required utility of the portfolio.

 

17. The exact indifference curves of different investors

 

1. cannot be known with perfect certainty.
2. can be calculated precisely with the use of advanced calculus.
3. are known with perfect certainty and allow the advisor to create more suitable portfolios for the client.
4. although not known with perfect certainty, do allow the advisor to create more suitable portfolios for the client.

 

18. The riskiness of individual assets

 

1. should be considered for the asset in isolation.
2. should be considered in the context of the effect on overall portfolio volatility.
3. should be combined with the riskiness of other individual assets in the proportions these assets constitute the

entire portfolio.

1. should be considered in the context of the effect on overall portfolio volatility and should be combined with the

riskiness of other individual assets in the proportions these assets constitute the entire portfolio.

19. A fair game

 

1. will not be undertaken by a risk-averse investor.
2. is a risky investment with a zero risk premium.
3. is a riskless investment.
4. will not be undertaken by a risk-averse investor and is a risky investment with a zero risk premium.
5. will not be undertaken by a risk-averse investor and is a riskless investment.

 

20. The presence of risk means that

 

1. investors will lose money.
2. more than one outcome is possible.
3. the standard deviation of the payoff is larger than its expected value.
4. final wealth will be greater than initial wealth.
5. terminal wealth will be less than initial wealth.
6. The utility score an investor assigns to a particular portfolio, other things equal,

 

1. will decrease as the rate of return increases.
2. will decrease as the standard deviation decreases.
3. will decrease as the variance decreases.
4. will increase as the variance increases.
5. will increase as the rate of return increases.

 

22. The certainty equivalent rate of a portfolio is
23. the rate that a risk-free investment would need to offer with certainty to be considered equally attractive as the

risky portfolio.

1. the rate that the investor must earn for certain to give up the use of his money.
2. the minimum rate guaranteed by institutions such as banks.
3. the rate that equates “A” in the utility function with the average risk aversion coefficient for all risk-averse

investors.

1. represented by the scaling factor “-.005” in the utility function.

 

23. According to the mean-variance criterion, which of the statements below is correct?

 

 

1. Investment B dominates investment A.
2. Investment B dominates investment C.
3. Investment D dominates all of the other investments.
4. Investment D dominates only investment B.
5. Investment C dominates investment A.

 

24. Steve is more risk-averse than Edie. On a graph that shows Steve and Edie’s indifference curves, which of the

following is true? Assume that the graph shows expected return on the vertical axis and standard deviation on the

horizontal axis.

 

1. I) Steve and Edie’s indifference curves might intersect.
2. II) Steve’s indifference curves will have flatter slopes than Edie’s.

III) Steve’s indifference curves will have steeper slopes than Edie’s.

1. IV) Steve and Edie’s indifference curves will not intersect.
2. V) Steve’s indifference curves will be downward sloping, and Edie’s will be upward sloping.

 

1. I and V
2. I and III
3. III and IV
4. I and II
5. II and IV

 

25. The capital allocation line can be described as the

 

1. investment opportunity set formed with a risky asset and a risk-free asset.
2. investment opportunity set formed with two risky assets.
3. line on which lie all portfolios that offer the same utility to a particular investor.
4. line on which lie all portfolios with the same expected rate of return and different standard deviations.
5. Which of the following statements regarding the capital allocation line (CAL) is false?

 

1. The CAL shows risk-return combinations.
2. The slope of the CAL equals the increase in the expected return of the complete portfolio per unit of additional

standard deviation.

1. The slope of the CAL is also called the reward-to-volatility ratio.
2. The CAL is also called the efficient frontier of risky assets in the absence of a risk-free asset.

 

27. Given the capital allocation line, an investor’s optimal portfolio is the portfolio that

 

1. maximizes her expected profit.
2. maximizes her risk.
3. minimizes both her risk and return.
4. maximizes her expected utility.
5. None of the options are correct.

 

28. An investor invests 30% of his wealth in a risky asset with an expected rate of return of 0.15 and a variance of

0.04 and 70% in a T-bill that pays 6%. His portfolio’s expected return and standard deviation are __________ and

__________, respectively.

 

1. 0.114; 0.12
2. 0.087; 0.06
3. 0.295; 0.06
4. 0.087; 0.12
5. None of the options are correct.

 

29. An investor invests 30% of his wealth in a risky asset with an expected rate of return of 0.13 and a variance of

0.03 and 70% in a T-bill that pays 6%. His portfolio’s expected return and standard deviation are __________ and

__________, respectively.

 

1. 0.114; 0.128
2. 0.087; 0.063
3. 0.295; 0.125
4. 0.081; 0.052

 

30. An investor invests 40% of his wealth in a risky asset with an expected rate of return of 0.17 and a variance of 0.08 and 60% in a T-bill that pays 4.5%. His portfolio’s expected return and standard deviation are __________ and

__________, respectively.

 

1. 0.114; 0.126
2. 0.087; 0.068
3. 0.095; 0.113
4. 0.087; 0.124
5. None of the options are correct.

 

31. An investor invests 70% of his wealth in a risky asset with an expected rate of return of 0.15 and a variance of

0.04 and 30% in a T-bill that pays 5%. His portfolio’s expected return and standard deviation are __________ and

__________, respectively.

 

1. 0.120; 0.14
2. 0.087; 0.06
3. 0.295; 0.12
4. 0.087; 0.12

 

32. You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.15 and a Tbill with a rate of return of 0.05.

 

What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to form a portfolio with an expected return of 0.09?

 

1. 85% and 15%
2. 75% and 25%
3. 67% and 33%
4. 57% and 43%
5. Cannot be determined.

 

33. You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.15 and a Tbill with a rate of return of 0.05.

 

What percentages of your money must be invested in the risk-free asset and the risky asset, respectively, to form a

portfolio with a standard deviation of 0.06?

 

1. 30% and 70%
2. 50% and 50%
3. 60% and 40%
4. 40% and 60%
5. Cannot be determined.

 

34. You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.15 and a Tbill with a rate of return of 0.05.

 

A portfolio that has an expected outcome of $115 is formed by

1. investing $100 in the risky asset.
2. investing $80 in the risky asset and $20 in the risk-free asset.
3. borrowing $43 at the risk-free rate and investing the total amount ($143) in the risky asset.
4. investing $43 in the risky asset and $57 in the riskless asset.
5. Such a portfolio cannot be formed.

 

35. You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.15 and a Tbill with a rate of return of 0.05.

 

The slope of the capital allocation line formed with the risky asset and the risk-free asset is equal to

 

1. 0.4667.
2. 0.8000.
3. 2.14.
4. 0.41667.
5. Cannot be determined.

 

36. Consider a T-bill with a rate of return of 5% and the following risky securities:

 

Security A: E(r) = 0.15; Variance = 0.04

Security B: E(r) = 0.10; Variance = 0.0225

Security C: E(r) = 0.12; Variance = 0.01

Security D: E(r) = 0.13; Variance = 0.0625

 

From which set of portfolios, formed with the T-bill and any one of the four risky securities, would a risk-averse

investor always choose his portfolio?

 

1. The set of portfolios formed with the T-bill and security A.
2. The set of portfolios formed with the T-bill and security B.
3. The set of portfolios formed with the T-bill and security C.
4. The set of portfolios formed with the T-bill and security D.
5. Cannot be determined.

 

37. You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with two risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081.

 

If you want to form a portfolio with an expected rate of return of 0.11, what percentages of your money must you

invest in the T-bill and P, respectively?

 

1. 0.25; 0.75
2. 0.19; 0.81
3. 0.65; 0.35
4. 0.50; 0.50
5. Cannot be determined.

 

38. You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with two risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081.

 

If you want to form a portfolio with an expected rate of return of 0.10, what percentages of your money must you

invest in the T-bill, X, and Y, respectively, if you keep X and Y in the same proportions to each other as in portfolio

P?

1. 0.25; 0.45; 0.30
2. 0.19; 0.49; 0.32
3. 0.32; 0.41; 0.27
4. 0.50; 0.30; 0.20
5. Cannot be determined.

 

39. You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with two risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081.

 

What would be the dollar values of your positions in X and Y, respectively, if you decide to hold 40% of your money

in the risky portfolio and 60% in T-bills?

 

1. $240; $360
2. $360; $240
3. $100; $240
4. $240; $160
5. Cannot be determined.

 

40. You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with two risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081.

 

What would be the dollar value of your positions in X, Y, and the T-bills, respectively, if you decide to hold a

portfolio that has an expected outcome of $1,120?

 

1. $568; $378; $54
2. $568; $54; $378
3. $378; $54; $568
4. $108; $514; $378
5. Cannot be determined.

 

 

41. A reward-to-volatility ratio is useful in
42. measuring the standard deviation of returns.
43. understanding how returns increase relative to risk increases.
44. analyzing returns on variable-rate bonds.
45. assessing the effects of inflation.
46. None of the options are correct.

 

42. The change from a straight to a kinked capital allocation line is a result of

 

1. reward-to-volatility ratio increasing.
2. borrowing rate exceeding lending rate.
3. an investor’s risk tolerance decreasing.
4. increase in the portfolio proportion of the risk-free asset.

 

43. The first major step in asset allocation is

 

1. assessing risk tolerance.
2. analyzing financial statements.
3. estimating security betas.
4. identifying market anomalies.

 

44. Based on their relative degrees of risk tolerance,

 

1. investors will hold varying amounts of the risky asset in their portfolios.
2. all investors will have the same portfolio asset allocations.
3. investors will hold varying amounts of the risk-free asset in their portfolios.
4. investors will hold varying amounts of the risky asset and varying amounts of the risk-free asset in their

portfolios.

 

45. Asset allocation may involve

 

1. the decision as to the allocation between a risk-free asset and a risky asset.
2. the decision as to the allocation among different risky assets.
3. considerable security analysis.
4. the decision as to the allocation between a risk-free asset and a risky asset and the decision as to the allocation

among different risky assets.

1. the decision as to the allocation between a risk-free asset and a risky asset and considerable security analysis.

 

46. In the mean-standard deviation graph, the line that connects the risk-free rate and the optimal risky portfolio, P, is called

 

1. the security market line.
2. the capital allocation line.
3. the indifference curve.
4. the investor’s utility line.

 

47. Treasury bills are commonly viewed as risk-free assets because

 

1. their short-term nature makes their values insensitive to interest rate fluctuations.
2. the inflation uncertainty over their time to maturity is negligible.
3. their term to maturity is identical to most investors’ desired holding periods.
4. their short-term nature makes their values insensitive to interest rate fluctuations, and the inflation uncertainty

over their time to maturity is negligible.

1. the inflation uncertainty over their time to maturity is negligible, and their term to maturity is identical to most

investors’ desired holding periods.

 

48. Your client, Bo Regard, holds a complete portfolio that consists of a portfolio of risky assets (P) and T-Bills. The information below refers to these assets.

 

 

What is the expected return on Bo’s complete portfolio?

 

10. 10.32%
11. 5.28%
12. 9.62%
13. 8.44%
14. 7.58%

 

49. Your client, Bo Regard, holds a complete portfolio that consists of a portfolio of risky assets (P) and T-Bills. The information below refers to these assets.

 

 

 

What is the standard deviation of Bo’s complete portfolio?

 

7. 7.20%
8. 5.40%
9. 6.92%
10. 4.98%
11. 5.76%

 

50. Your client, Bo Regard, holds a complete portfolio that consists of a portfolio of risky assets (P) and T-Bills. The information below refers to these assets.

 

 

What is the equation of Bo’s capital allocation line?

 

7. E(rC) = 7.2 + 3.6 × Standard Deviation of P
8. E(rC) = 3.6 + 1.167 × Standard Deviation of P
9. E(rC) = 3.6 + 12.0 × Standard Deviation of P
10. E(rC) = 0.2 + 1.167 × Standard Deviation of P
11. E(rC) = 3.6 + 0.857 × Standard Deviation of P

 

51. Your client, Bo Regard, holds a complete portfolio that consists of a portfolio of risky assets (P) and T-Bills. The information below refers to these assets.

 

 

What are the proportions of stocks A, B, and C, respectively, in Bo’s complete portfolio?

 

1. 40%, 25%, 35%
2. 8%, 5%, 7%
3. 32%, 20%, 28%
4. 16%, 10%, 14%
5. 20%, 12.5%, 17.5%

 

 

 

 

52. To build an indifference curve, we can first find the utility of a portfolio with 100% in the risk-free asset, then

 

1. find the utility of a portfolio with 0% in the risk-free asset.
2. change the expected return of the portfolio and equate the utility to the standard deviation.
3. find another utility level with 0% risk.
4. change the standard deviation of the portfolio and find the expected return the investor would require to maintain

the same utility level.

1. change the risk-free rate and find the utility level that results in the same standard deviation.

 

53. The capital market line

 

1. I) is a special case of the capital allocation line.
2. II) represents the opportunity set of a passive investment strategy.

III) has the one-month T-Bill rate as its intercept.

1. IV) uses a broad index of common stocks as its risky portfolio.

 

1. I, III, and IV
2. II, III, and IV
3. III and IV
4. I, II, and III
5. I, II, III, and IV

 

54. An investor invests 35% of his wealth in a risky asset with an expected rate of return of 0.18 and a variance of

0.10 and 65% in a T-bill that pays 4%. His portfolio’s expected return and standard deviation are __________ and

__________, respectively.

 

1. 0.089; 0.111
2. 0.087; 0.063
3. 0.096; 0.126
4. 0.087; 0.144

 

55. An investor invests 30% of his wealth in a risky asset with an expected rate of return of 0.11 and a variance of

0.12 and 70% in a T-bill that pays 3%. His portfolio’s expected return and standard deviation are __________ and

__________, respectively.

 

1. 0.086; 0.242
2. 0.054; 0.104
3. 0.295; 0.123
4. 0.087; 0.182
5. None of the options are correct.

 

56. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.20 and a Tbill with a rate of return of 0.03.

 

What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to form a

portfolio with an expected return of 0.08?

 

1. 85% and 15%
2. 75% and 25%
3. 62.5% and 37.5%
4. 57% and 43%
5. Cannot be determined.

 

57. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.20 and a Tbill with a rate of return of 0.03.

 

What percentages of your money must be invested in the risk-free asset and the risky asset, respectively, to form a

portfolio with a standard deviation of 0.08?

 

1. 30% and 70%
2. 50% and 50%
3. 60% and 40%
4. 40% and 60%
5. Cannot be determined.

 

58. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.20 and a Tbill with a rate of return of 0.03.

 

The slope of the capital allocation line formed with the risky asset and the risk-free asset is equal to

 

1. 0.47.
2. 0.80.
3. 2.14.
4. 0.40.
5. Cannot be determined.

 

59. You invest $1,000 in a risky asset with an expected rate of return of 0.17 and a standard deviation of 0.40 and a Tbill with a rate of return of 0.04.

 

What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to form a

portfolio with an expected return of 0.11?

 

53. 53.8% and 46.2%
54. 75% and 25%
55. 62.5% and 37.5%
56. 46.2% and 53.8%
57. Cannot be determined.
58. You invest $1,000 in a risky asset with an expected rate of return of 0.17 and a standard deviation of 0.40 and a Tbill with a rate of return of 0.04.

 

What percentages of your money must be invested in the risk-free asset and the risky asset, respectively, to form a

portfolio with a standard deviation of 0.20?

 

1. 30% and 70%
2. 50% and 50%
3. 60% and 40%
4. 40% and 60%
5. Cannot be determined.

 

61. You invest $1,000 in a risky asset with an expected rate of return of 0.17 and a standard deviation of 0.40 and a Tbill with a rate of return of 0.04.

 

The slope of the capital allocation line formed with the risky asset and the risk-free asset is equal to

 

1. 0.325.
2. 0.675.
3. 0.912.
4. 0.407.
5. Cannot be determined.

 

62. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.21 and a Tbill with a rate of return of 0.045.

What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to form a

portfolio with an expected return of 0.13?

 

130. 130.77% and –30.77%
131. –30.77% and 130.77%
132. 67.67% and 33.33%
133. 57.75% and 42.25%
134. Cannot be determined.

 

63. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.21 and a Tbill with a rate of return of 0.045.

 

What percentages of your money must be invested in the risk-free asset and the risky asset, respectively, to form a

portfolio with a standard deviation of 0.08?

 

30. 30.1% and 69.9%
31. 50.5% and 49.50%
32. 60.0% and 40.0%
33. 61.9% and 38.1%
34. Cannot be determined.

 

64. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.21 and a Tbill with a rate of return of 0.045.

 

A portfolio that has an expected outcome of $114 is formed by

 

1. investing $100 in the risky asset.
2. investing $80 in the risky asset and $20 in the risk-free asset.
3. borrowing $46 at the risk-free rate and investing the total amount ($146) in the risky asset.
4. investing $43 in the risky asset and $57 in the risk-free asset.
5. Such a portfolio cannot be formed.

 

65. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.21 and a Tbill with a rate of return of 0.045.

 

The slope of the capital allocation line formed with the risky asset and the risk-free asset is equal to

 

1. 0.4667.
2. 0.8000.
3. 0.3095.
4. 0.41667.
5. Cannot be determined.

 

 

 

 

 

 

 

 

 

 

Chapter 06 Test Bank – Static Key

 

Multiple Choice Questions

 

1. Which of the following statements regarding risk-averse investors is true?

 

1. They only care about the rate of return.
2. They accept investments that are fair games.
3. They only accept risky investments that offer risk premiums over the risk-free rate.
4. They are willing to accept lower returns and high risk.
5. They only care about the rate of return, and they accept investments that are fair games.

 

Risk-averse investors only accept risky investments that offer risk premiums over the risk-free rate.

 

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Topic: Risk aversion

 

2. Which of the following statements is(are) true?

 

1. I) Risk-averse investors reject investments that are fair games.
2. II) Risk-neutral investors judge risky investments only by the expected returns.

III) Risk-averse investors judge investments only by their riskiness.

1. IV) Risk-loving investors will not engage in fair games.

 

1. I only
2. II only
3. I and II only
4. II and III only
5. II, III, and IV only

 

Risk-averse investors consider a risky investment only if the investment offers a risk premium. Risk-neutral

investors look only at expected returns when making an investment decision.

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Topic: Risk aversion

 

3. Which of the following statements is(are) false?

 

1. I) Risk-averse investors reject investments that are fair games.
2. II) Risk-neutral investors judge risky investments only by the expected returns.

III) Risk-averse investors judge investments only by their riskiness.

1. IV) Risk-loving investors will not engage in fair games.

 

1. I only
2. II only
3. I and II only
4. II and III only
5. III and IV only

 

Risk-averse investors consider a risky investment only if the investment offers a risk premium. Risk-neutral

investors look only at expected returns when making an investment decision.

 

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Topic: Risk aversion

 

4. In the mean-standard deviation graph, an indifference curve has a ________ slope.

 

1. negative
2. zero
3. positive
4. vertical
5. Cannot be determined.

 

The risk-return trade-off is one in which greater risk is taken if greater returns can be expected, resulting in a

positive slope.

 

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Topic: Indifference curves

 

5. In the mean-standard deviation graph, which one of the following statements is true regarding the indifference

curve of a risk-averse investor?

 

1. It is the locus of portfolios that have the same expected rates of return and different standard deviations.
2. It is the locus of portfolios that have the same standard deviations and different rates of return.
3. It is the locus of portfolios that offer the same utility according to returns and standard deviations.
4. It connects portfolios that offer increasing utilities according to returns and standard deviations.
5. None of the options are correct.

 

Indifference curves plot trade-off alternatives that provide equal utility to the individual (in this case, the tradeoffs

are the risk-return characteristics of the portfolios).

 

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Topic: Indifference curves

 

6. In a return-standard deviation space, which of the following statements is(are) true for risk-averse investors?

(The vertical and horizontal lines are referred to as the expected return-axis and the standard deviation-axis,

respectively.)

 

1. I) An investor’s own indifference curves might intersect.
2. II) Indifference curves have negative slopes.

III) In a set of indifference curves, the highest offers the greatest utility.

1. IV) Indifference curves of two investors might intersect.

 

1. I and II only
2. II and III only
3. I and IV only
4. III and IV only
5. None of the options are correct.

 

An investor’s indifference curves are parallel (thus they cannot intersect) and have positive slopes. The highest

indifference curve (the one in the most northwestern position) offers the greatest utility. Indifference curves of

investors with similar risk-return trade-offs might intersect.

 

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Topic: Indifference curves

 

7. Elias is a risk-averse investor. David is a less risk-averse investor than Elias. Therefore,

 

1. for the same risk, David requires a higher rate of return than Elias.
2. for the same return, Elias tolerates higher risk than David.
3. for the same risk, Elias requires a lower rate of return than David.
4. for the same return, David tolerates higher risk than Elias.
5. Cannot be determined.

 

The more risk averse the investor, the less risk that is tolerated for a given rate of return.

 

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Topic: Risk aversion

 

8. When an investment advisor attempts to determine an investor’s risk tolerance, which factor would they be

least likely to assess?

 

1. The investor’s prior investing experience
2. The investor’s degree of financial security
3. The investor’s tendency to make risky or conservative choices
4. The level of return the investor prefers
5. The investor’s feelings about loss

 

Investment advisors would be least likely to assess the level of return the investor prefers. The investor’s

investing experience, financial security, feelings about loss, and disposition toward risky or conservative

choices will impact risk tolerance.

 

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Topic: Risk aversion

 

9. Assume an investor with the following utility function: U = E(r) – 3/2(s2).

 

To maximize her expected utility, she would choose the asset with an expected rate of return of _______ and a

standard deviation of ________, respectively.

 

1. 12%; 20%
2. 10%; 15%
3. 10%; 10%
4. 8%; 10%

 

U = 0.10 – 3/2(0.10) 2 = 8.5%; highest utility of choices.

 

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Topic: Utility values

 

10. To maximize her expected utility, which one of the following investment alternatives would she choose?

 

Assume an investor with the following utility function: U = E(r)  3/2(s2).

 

1. A portfolio that pays 10% with a 60% probability or 5% with 40% probability.
2. A portfolio that pays 10% with 40% probability or 5% with a 60% probability.
3. A portfolio that pays 12% with 60% probability or 5% with 40% probability.
4. A portfolio that pays 12% with 40% probability or 5% with 60% probability.

 

U(c) = 9.02%; highest utility of possibilities.

 

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11. A portfolio has an expected rate of return of 0.15 and a standard deviation of 0.15. The risk-free rate is 6%. An

investor has the following utility function: U = E(r)  (A/2)s2. Which value of A makes this investor indifferent

between the risky portfolio and the risk-free asset?

 

1. 5
2. 6
3. 7
4. 8

 

0.06 = 0.15 – A/2(0.15)2; 0.06 – 0.15 = A/2(0.0225); 0.09 = –0.01125A; A = 8; U

= 0.15  8/2(0.15)2 = 6%; U(Rf ) = 6%.

 

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12. According to the mean-variance criterion, which one of the following investments dominates all others?

 

1. E(r) = 0.15; Variance = 0.20
2. E(r) = 0.10; Variance = 0.20
3. E(r) = 0.10; Variance = 0.25
4. E(r) = 0.15; Variance = 0.25
5. None of these options dominates the other alternatives.

 

A gives the highest return with the least risk; return per unit of risk is 0.75, which dominates the reward-risk ratio

for the other choices.

 

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Topic: Risk and return

 

13. Consider a risky portfolio, A, with an expected rate of return of 0.15 and a standard deviation of 0.15, that lies

on a given indifference curve. Which one of the following portfolios might lie on the same indifference curve for

a risk averse investor?

 

1. E(r) = 0.15; Standard deviation = 0.20
2. E(r) = 0.15; Standard deviation = 0.10
3. E(r) = 0.10; Standard deviation = 0.10
4. E(r) = 0.20; Standard deviation = 0.15
5. E(r) = 0.10; Standard deviation = 0.20

 

Portfolio A has a reward to risk ratio of 1.0; portfolio C is the only choice with the same risk-return trade-off.

 

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14. Use the below information to answer the following question.

 

 

U = E(r ) – (A/2)s2,where A = 4.0.

 

Based on the utility function above, which investment would you select?

 

1. 1
2. 2
3. 3
4. 4
5. Cannot be determined from the information given.

 

U(c) = 0.21 – 4/2(0.16)2 = 15.88 (highest utility of choices).

 

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15. Use the below information to answer the following question.

 

 

U = E(r ) – (A/2)s2

 

Which investment would you select if you were risk neutral?

 

1. 1
2. 2
3. 3
4. 4
5. Cannot be determined from the information given.

If you are risk neutral, your only concern is with return, not risk.

 

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Topic: Utility values

 

16. Use the below information to answer the following question.

 

 

U = E(r )  (A/2)s2,where A = 4.0.

 

The variable (A) in the utility function represents the

 

1. investor’s return requirement.
2. investor’s aversion to risk.
3. certainty-equivalent rate of the portfolio.
4. minimum required utility of the portfolio.

 

A is an arbitrary scale factor used to measure investor risk tolerance. The higher the value of A, the more risk

averse the investor.

 

 

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Topic: Utility values

 

17. The exact indifference curves of different investors

 

1. cannot be known with perfect certainty.
2. can be calculated precisely with the use of advanced calculus.
3. are known with perfect certainty and allow the advisor to create more suitable portfolios for the client.
4. although not known with perfect certainty, do allow the advisor to create more suitable portfolios for the

client.

 

Indifference curves cannot be calculated precisely, but the theory does allow for the creation of more suitable

portfolios for investors of differing levels of risk tolerance.

 

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Topic: Indifference curves

 

18. The riskiness of individual assets

 

1. should be considered for the asset in isolation.
2. should be considered in the context of the effect on overall portfolio volatility.
3. should be combined with the riskiness of other individual assets in the proportions these assets constitute

the entire portfolio.

1. should be considered in the context of the effect on overall portfolio volatility and should be combined with the

riskiness of other individual assets in the proportions these assets constitute the entire portfolio.

 

The relevant risk is portfolio risk; thus, the riskiness of an individual security should be considered in the context

of the portfolio as a whole.

 

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Topic: Diversification

 

19. A fair game

 

1. will not be undertaken by a risk-averse investor.
2. is a risky investment with a zero risk premium.
3. is a riskless investment.
4. will not be undertaken by a risk-averse investor and is a risky investment with a zero risk premium.
5. will not be undertaken by a risk-averse investor and is a riskless investment.

 

A fair game is a risky investment with a payoff exactly equal to its expected value. Since it offers no risk

premium, it will not be acceptable to a risk-averse investor.

 

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Topic: Risk and return

 

 

20. The presence of risk means that

 

1. investors will lose money.
2. more than one outcome is possible.
3. the standard deviation of the payoff is larger than its expected value.
4. final wealth will be greater than initial wealth.
5. terminal wealth will be less than initial wealth.

 

The presence of risk means that more than one outcome is possible.

 

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Topic: Risk and return

 

21. The utility score an investor assigns to a particular portfolio, other things equal,

 

1. will decrease as the rate of return increases.
2. will decrease as the standard deviation decreases.
3. will decrease as the variance decreases.
4. will increase as the variance increases.
5. will increase as the rate of return increases.

 

Utility is enhanced by higher expected returns and diminished by higher risk.

 

 

 

 

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Topic: Utility values

 

22. The certainty equivalent rate of a portfolio is

 

1. the rate that a risk-free investment would need to offer with certainty to be considered equally attractive as

the risky portfolio.

1. the rate that the investor must earn for certain to give up the use of his money.
2. the minimum rate guaranteed by institutions such as banks.
3. the rate that equates “A” in the utility function with the average risk aversion coefficient for all risk-averse

investors.

1. represented by the scaling factor “-.005” in the utility function.

 

The certainty equivalent rate of a portfolio is the rate that a risk-free investment would need to offer with

certainty to be considered equally attractive as the risky portfolio.

 

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Topic: Risk and return

 

 

23. According to the mean-variance criterion, which of the statements below is correct?

 

 

 

1. Investment B dominates investment A.
2. Investment B dominates investment C.
3. Investment D dominates all of the other investments.
4. Investment D dominates only investment B.
5. Investment C dominates investment A.

 

Investment B dominates investment C because investment B has a higher return and a lower standard

deviation (risk) than investment C.

 

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Topic: Risk and return

 

24. Steve is more risk-averse than Edie. On a graph that shows Steve and Edie’s indifference curves, which of the

following is true? Assume that the graph shows expected return on the vertical axis and standard deviation on

the horizontal axis.

 

1. I) Steve and Edie’s indifference curves might intersect.
2. II) Steve’s indifference curves will have flatter slopes than Edie’s.

III) Steve’s indifference curves will have steeper slopes than Edie’s.

1. IV) Steve and Edie’s indifference curves will not intersect.
2. V) Steve’s indifference curves will be downward sloping, and Edie’s will be upward sloping.

 

1. I and V
2. I and III
3. III and IV
4. I and II
5. II and IV

 

This question tests whether the student understands the graphical properties of indifference curves and how

they relate to the degree of risk tolerance.

 

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Topic: Indifference curves

 

25. The capital allocation line can be described as the

 

1. investment opportunity set formed with a risky asset and a risk-free asset.
2. investment opportunity set formed with two risky assets.
3. line on which lie all portfolios that offer the same utility to a particular investor.
4. line on which lie all portfolios with the same expected rate of return and different standard deviations.

 

The CAL has an intercept equal to the risk-free rate. It is a straight line through the point representing the riskfree

asset and the risky portfolio, in expected-return/standard deviation space.

 

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Topic: Capital allocation line

 

26. Which of the following statements regarding the capital allocation line (CAL) is false?

 

1. The CAL shows risk-return combinations.
2. The slope of the CAL equals the increase in the expected return of the complete portfolio per unit of

additional standard deviation.

1. The slope of the CAL is also called the reward-to-volatility ratio.
2. The CAL is also called the efficient frontier of risky assets in the absence of a risk-free asset.

 

The CAL consists of combinations of a risky asset and a risk-free asset whose slope is the reward-to-volatility

ratio; thus, all statements except D are true.

 

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27. Given the capital allocation line, an investor’s optimal portfolio is the portfolio that

 

1. maximizes her expected profit.
2. maximizes her risk.
3. minimizes both her risk and return.
4. maximizes her expected utility.
5. None of the options are correct.

 

 

By maximizing expected utility, the investor is obtaining the best risk-return relationships possible and

acceptable for her.

 

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28. An investor invests 30% of his wealth in a risky asset with an expected rate of return of 0.15 and a variance of

0.04 and 70% in a T-bill that pays 6%. His portfolio’s expected return and standard deviation are __________

and __________, respectively.

 

1. 0.114; 0.12
2. 0.087; 0.06
3. 0.295; 0.06
4. 0.087; 0.12
5. None of the options are correct.

 

E(r P) = 0.3(15%) + 0.7(6%) = 8.7%; sP = 0.3(0.04)1/2 = 6%.

 

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Topic: Standard deviation and variance

29. An investor invests 30% of his wealth in a risky asset with an expected rate of return of 0.13 and a variance of

0.03 and 70% in a T-bill that pays 6%. His portfolio’s expected return and standard deviation are __________

and __________, respectively.

 

1. 0.114; 0.128
2. 0.087; 0.063
3. 0.295; 0.125
4. 0.081; 0.052

 

E(r P) = 0.3(13%) + 0.7(6%) = 8.1%; sP = 0.3(0.03)1/2 = 5.19%.

 

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Topic: Standard deviation and variance

 

30. An investor invests 40% of his wealth in a risky asset with an expected rate of return of 0.17 and a variance of

0.08 and 60% in a T-bill that pays 4.5%. His portfolio’s expected return and standard deviation are __________

and __________, respectively.

 

1. 0.114; 0.126
2. 0.087; 0.068
3. 0.095; 0.113
4. 0.087; 0.124
5. None of the options are correct.

 

E(r P) = 0.4(17%) + 0.6(4.5%) = 9.5%; sP = 0.4(0.08)1/2 = 11.31%.

 

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Topic: Standard deviation and variance

 

31. An investor invests 70% of his wealth in a risky asset with an expected rate of return of 0.15 and a variance of

0.04 and 30% in a T-bill that pays 5%. His portfolio’s expected return and standard deviation are __________

and __________, respectively.

 

1. 0.120; 0.14
2. 0.087; 0.06
3. 0.295; 0.12
4. 0.087; 0.12

E(r P) = 0.7(15%) + 0.3(5%) = 12.0%; sP = 0.7(0.04)1/2 = 14%.

 

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Topic: Standard deviation and variance

 

32. You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.15 and a

T-bill with a rate of return of 0.05.

 

What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to

form a portfolio with an expected return of 0.09?

 

1. 85% and 15%
2. 75% and 25%
3. 67% and 33%
4. 57% and 43%
5. Cannot be determined.

 

9% = w1(12%) + (1 – w1)(5%); 9% = 12%w1 + 5% – 5%w1; 4% = 7%w1; w1 = 0.57; 1 – w1 =

0.43; 0.57(12%) + 0.43(5%) = 8.99%.

 

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Topic: Portfolio weights

 

33. You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.15 and a

T-bill with a rate of return of 0.05.

 

What percentages of your money must be invested in the risk-free asset and the risky asset, respectively, to

form a portfolio with a standard deviation of 0.06?

 

1. 30% and 70%
2. 50% and 50%
3. 60% and 40%
4. 40% and 60%
5. Cannot be determined.

 

0.06 = x(0.15); x = 40% in risky asset.

 

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34. You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.15 and a

T-bill with a rate of return of 0.05.

A portfolio that has an expected outcome of $115 is formed by

 

1. investing $100 in the risky asset.
2. investing $80 in the risky asset and $20 in the risk-free asset.
3. borrowing $43 at the risk-free rate and investing the total amount ($143) in the risky asset.
4. investing $43 in the risky asset and $57 in the riskless asset.
5. Such a portfolio cannot be formed.

 

For $100: (115 – 100)/100 = 15%; .15 = w1(0.12) + (1  w1)(0.05); .15 = 0.12w1 + 0.05 – 0.05w1; 0.10 = 0.07w1;

w1 = 1.43($100) = $143; (1 – w1)$100 = –$43.

 

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35. You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.15 and a

T-bill with a rate of return of 0.05.

 

The slope of the capital allocation line formed with the risky asset and the risk-free asset is equal to

 

1. 0.4667.
2. 0.8000.
3. 2.14.
4. 0.41667.
5. Cannot be determined.

 

(0.12 – 0.05)/0.15 = 0.4667.

 

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Topic: Capital allocation line

 

36. Consider a T-bill with a rate of return of 5% and the following risky securities:

 

Security A: E(r) = 0.15; Variance = 0.04

Security B: E(r) = 0.10; Variance = 0.0225

Security C: E(r) = 0.12; Variance = 0.01

Security D: E(r) = 0.13; Variance = 0.0625

 

From which set of portfolios, formed with the T-bill and any one of the four risky securities, would a risk-averse

investor always choose his portfolio?

 

1. The set of portfolios formed with the T-bill and security A.
2. The set of portfolios formed with the T-bill and security B.
3. The set of portfolios formed with the T-bill and security C.
4. The set of portfolios formed with the T-bill and security D.
5. Cannot be determined.

 

Security C has the highest reward-to-volatility ratio.

 

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Topic: Risk aversion

 

37. You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with two

risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate

of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081.

If you want to form a portfolio with an expected rate of return of 0.11, what percentages of your money must

you invest in the T-bill and P, respectively?

 

1. 0.25; 0.75
2. 0.19; 0.81
3. 0.65; 0.35
4. 0.50; 0.50
5. Cannot be determined.

 

E(r p) = 0.6(14%) + 0.4(10%) = 12.4%; 11% = 5x + 12.4(1 – x); x = 0.189 (T-bills)

(1–x) = 0.811 (risky asset).

 

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Topic: Portfolio weights

 

 

38. You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with two

risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate

of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081.

If you want to form a portfolio with an expected rate of return of 0.10, what percentages of your money must

you invest in the T-bill, X, and Y, respectively, if you keep X and Y in the same proportions to each other as in

portfolio P?

 

1. 0.25; 0.45; 0.30
2. 0.19; 0.49; 0.32
3. 0.32; 0.41; 0.27
4. 0.50; 0.30; 0.20
5. Cannot be determined.

 

10 = 5w + 12.4(1 – w); w = 0.32 (weight of T-bills); as composition of X and Y are 0.6 and 0.4 of P, respectively,

then for 0.68 weight in P, the respective weights must be 0.41 and 0.27; .6(0.68) = 41%; .4(0.68) = 27%.

 

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Topic: Portfolio weights

 

39. You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with two

risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate

of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081.

What would be the dollar values of your positions in X and Y, respectively, if you decide to hold 40% of your

money in the risky portfolio and 60% in T-bills?

 

1. $240; $360
2. $360; $240
3. $100; $240
4. $240; $160
5. Cannot be determined.

 

$400(0.6) = $240 in X; $400(0.4) = $160 in Y.

 

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Topic: Portfolio weights

 

40. You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with two

risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate

of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081.

What would be the dollar value of your positions in X, Y, and the T-bills, respectively, if you decide to hold a

portfolio that has an expected outcome of $1,120?

 

1. $568; $378; $54
2. $568; $54; $378
3. $378; $54; $568
4. $108; $514; $378
5. Cannot be determined.

 

($1,120 – $1,000)/$1,000 = 12%; (0.6)14% + (0.4)10% = 12.4%; 12% = w5% + 12.4%(1 – w);w = 0.054; 1-w

= 0.946; w = 0.054($1,000) = $54 (T-bills); 1 – w = 1 – 0.054 = 0.946($1,000) = $946; $946 × 0.6 = $568 in X;

$946 × 0.4 = $378 in Y.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 3 Challenge

Topic: Portfolio weights

 

41. A reward-to-volatility ratio is useful in

 

1. measuring the standard deviation of returns.
2. understanding how returns increase relative to risk increases.
3. analyzing returns on variable-rate bonds.
4. assessing the effects of inflation.
5. None of the options are correct.

 

A reward-to-volatility ratio is useful in understanding how returns increase relative to risk increases.

 

AACSB: Reflective Thinking

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Blooms: Understand

Difficulty: 2 Intermediate

Topic: Risk-adjusted performance measures (Sharpe, Treynor, Jensen, Information ratio, M2, etc.)

 

42. The change from a straight to a kinked capital allocation line is a result of

 

1. reward-to-volatility ratio increasing.
2. borrowing rate exceeding lending rate.
3. an investor’s risk tolerance decreasing.
4. increase in the portfolio proportion of the risk-free asset.

 

The linear capital allocation line assumes that the investor may borrow and lend at the same rate (the risk-free

rate), which obviously is not true. Relaxing this assumption and incorporating the higher borrowing rates into

the model results in the kinked capital allocation line.

 

AACSB: Reflective Thinking

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Blooms: Understand

Difficulty: 3 Challenge

Topic: Capital allocation line

 

43. The first major step in asset allocation is

 

1. assessing risk tolerance.
2. analyzing financial statements.
3. estimating security betas.
4. identifying market anomalies.

 

Assessing risk tolerance should be the first consideration in asset allocation. The other options refer to security

selection.

 

AACSB: Reflective Thinking

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Blooms: Remember

Difficulty: 2 Intermediate

Topic: Risk aversion

 

44. Based on their relative degrees of risk tolerance,

 

1. investors will hold varying amounts of the risky asset in their portfolios.
2. all investors will have the same portfolio asset allocations.
3. investors will hold varying amounts of the risk-free asset in their portfolios.
4. investors will hold varying amounts of the risky asset and varying amounts of the risk-free asset in their

portfolios.

 

By determining levels of risk tolerance, investors can select the optimum portfolio for their own needs; these

asset allocations will vary between amounts of risk-free and risky assets based on risk tolerance.

 

AACSB: Reflective Thinking

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Blooms: Remember

Difficulty: 1 Basic

Topic: Risk aversion

 

45. Asset allocation may involve

 

1. the decision as to the allocation between a risk-free asset and a risky asset.
2. the decision as to the allocation among different risky assets.
3. considerable security analysis.
4. the decision as to the allocation between a risk-free asset and a risky asset and the decision as to the

allocation among different risky assets.

1. the decision as to the allocation between a risk-free asset and a risky asset and considerable security

analysis.

 

The decision as to the allocation between a risk-free asset and a risky asset and the decision as to the

allocation among different risky assets are possible steps in asset allocation. Considerable security analysis is

related to security selection.

 

AACSB: Reflective Thinking

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Blooms: Understand

Difficulty: 1 Basic

Topic: Portfolio weights

 

46. In the mean-standard deviation graph, the line that connects the risk-free rate and the optimal risky portfolio, P,

is called

 

1. the security market line.
2. the capital allocation line.
3. the indifference curve.
4. the investor’s utility line.

 

The capital allocation line (CAL) illustrates the possible combinations of a risk-free asset and a risky asset

available to the investor.

 

AACSB: Reflective Thinking

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Blooms: Remember

Difficulty: 2 Intermediate

Topic: Capital allocation line

 

47. Treasury bills are commonly viewed as risk-free assets because

 

1. their short-term nature makes their values insensitive to interest rate fluctuations.
2. the inflation uncertainty over their time to maturity is negligible.
3. their term to maturity is identical to most investors’ desired holding periods.
4. their short-term nature makes their values insensitive to interest rate fluctuations, and the inflation

uncertainty over their time to maturity is negligible.

1. the inflation uncertainty over their time to maturity is negligible, and their term to maturity is identical to most

investors’ desired holding periods.

 

Treasury bills do not exactly match most investors’ desired holding periods, but because they mature in only a

few weeks or months they are relatively free of interest rate sensitivity and inflation uncertainty.

 

AACSB: Reflective Thinking

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Blooms: Remember

Difficulty: 1 Basic

Topic: U.S. Treasury and agency securities

 

48. Your client, Bo Regard, holds a complete portfolio that consists of a portfolio of risky assets (P) and T-Bills. The information below refers to these assets.

 

 

What is the expected return on Bo’s complete portfolio?

 

10. 10.32%
11. 5.28%
12. 9.62%
13. 8.44%
14. 7.58%

 

E(r C) = 0.8 × 12.00% + 0.2 × 3.6% = 10.32%.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 1 Basic

Topic: Expected return

 

 

49. Your client, Bo Regard, holds a complete portfolio that consists of a portfolio of risky assets (P) and T-Bills. The information below refers to these assets.

 

 

 

What is the standard deviation of Bo’s complete portfolio?

 

7. 7.20%
8. 5.40%
9. 6.92%
10. 4.98%
11. 5.76%

 

Std. Dev. of C = 0.8 × 7.20% = 5.76%.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 1 Basic

Topic: Standard deviation and variance

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

50. Your client, Bo Regard, holds a complete portfolio that consists of a portfolio of risky assets (P) and T-Bills. The information below refers to these assets.

 

 

What is the equation of Bo’s capital allocation line?

 

7. E(rC) = 7.2 + 3.6 × Standard Deviation of P
8. E(rC) = 3.6 + 1.167 × Standard Deviation of P
9. E(rC) = 3.6 + 12.0 × Standard Deviation of P
10. E(rC) = 0.2 + 1.167 × Standard Deviation of P
11. E(rC) = 3.6 + 0.857 × Standard Deviation of P

 

The intercept is the risk-free rate (3.60%) and the slope is (12.00% – 3.60%)/7.20% = 1.167.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 2 Intermediate

Topic: Capital allocation line

 

51. Your client, Bo Regard, holds a complete portfolio that consists of a portfolio of risky assets (P) and T-Bills. The information below refers to these assets.

 

 

What are the proportions of stocks A, B, and C, respectively, in Bo’s complete portfolio?

 

1. 40%, 25%, 35%
2. 8%, 5%, 7%
3. 32%, 20%, 28%
4. 16%, 10%, 14%
5. 20%, 12.5%, 17.5%

 

Proportion in A = 0.8 × 40% = 32%; proportion in B = 0.8 × 25% = 20%; proportion in C = 0.8 × 35% = 28%.

 

AACSB: Knowledge Application

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Difficulty: 2 Intermediate

Topic: Portfolio weights

 

52. To build an indifference curve, we can first find the utility of a portfolio with 100% in the risk-free asset, then

 

1. find the utility of a portfolio with 0% in the risk-free asset.
2. change the expected return of the portfolio and equate the utility to the standard deviation.
3. find another utility level with 0% risk.
4. change the standard deviation of the portfolio and find the expected return the investor would require to

maintain the same utility level.

1. change the risk-free rate and find the utility level that results in the same standard deviation.

 

 

This question references the procedure described in the text. The authors describe how to trace out

indifference curves using a spreadsheet.

 

AACSB: Reflective Thinking

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Blooms: Understand

Difficulty: 3 Challenge

Topic: Indifference curves

 

53. The capital market line

 

1. I) is a special case of the capital allocation line.
2. II) represents the opportunity set of a passive investment strategy.

III) has the one-month T-Bill rate as its intercept.

1. IV) uses a broad index of common stocks as its risky portfolio.

 

1. I, III, and IV
2. II, III, and IV
3. III and IV
4. I, II, and III
5. I, II, III, and IV

 

The capital market line is the capital allocation line based on the one-month T-Bill rate and a broad index of

common stocks. It applies to an investor pursuing a passive management strategy.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 2 Intermediate

Topic: Capital market line

 

54. An investor invests 35% of his wealth in a risky asset with an expected rate of return of 0.18 and a variance of

0.10 and 65% in a T-bill that pays 4%. His portfolio’s expected return and standard deviation are __________

and __________, respectively.

 

1. 0.089; 0.111
2. 0.087; 0.063
3. 0.096; 0.126
4. 0.087; 0.144

 

E(r P) = 0.35(18%) + 0.65(4%) = 8.9%; sP = 0.35(0.10)1/2 = 11.07%.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 2 Intermediate

Topic: Standard deviation and variance

 

55. An investor invests 30% of his wealth in a risky asset with an expected rate of return of 0.11 and a variance of

0.12 and 70% in a T-bill that pays 3%. His portfolio’s expected return and standard deviation are __________

and __________, respectively.

 

1. 0.086; 0.242
2. 0.054; 0.104
3. 0.295; 0.123
4. 0.087; 0.182
5. None of the options are correct.

 

 

E(r P) = 0.3(11%) + 0.7(3%) = 5.4%; sP = 0.3(0.12)1/2 = 10.4%.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 2 Intermediate

Topic: Standard deviation and variance

 

56. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.20 and a

T-bill with a rate of return of 0.03.

 

What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to

form a portfolio with an expected return of 0.08?

 

1. 85% and 15%
2. 75% and 25%
3. 62.5% and 37.5%
4. 57% and 43%
5. Cannot be determined.

 

8% = w1(11%) + (1  w1)(3%); 8% = 11%w1 + 3%  3%w1; 5% = 8%w1; w1 = 0.625; 1  w1

= 0.375; 0.625(11%) + 0.375(3%) = 8.0%.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 2 Intermediate

Topic: Portfolio weights

 

57. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.20 and a

T-bill with a rate of return of 0.03.

 

What percentages of your money must be invested in the risk-free asset and the risky asset, respectively, to

form a portfolio with a standard deviation of 0.08?

 

1. 30% and 70%
2. 50% and 50%
3. 60% and 40%
4. 40% and 60%
5. Cannot be determined.

 

0.08 = x(0.20); x = 40% in risky asset.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 2 Intermediate

Topic: Portfolio weights

 

58. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.20 and a

T-bill with a rate of return of 0.03.

 

The slope of the capital allocation line formed with the risky asset and the risk-free asset is equal to

 

1. 0.47.
2. 0.80.
3. 2.14.
4. 0.40.
5. Cannot be determined.

(0.11 – 0.03)/0.20 = 0.40.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 2 Intermediate

Topic: Capital allocation line

 

59. You invest $1,000 in a risky asset with an expected rate of return of 0.17 and a standard deviation of 0.40 and a

T-bill with a rate of return of 0.04.

 

What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to

form a portfolio with an expected return of 0.11?

 

53. 53.8% and 46.2%
54. 75% and 25%
55. 62.5% and 37.5%
56. 46.2% and 53.8%
57. Cannot be determined.

 

11% = w1(17%) + (1 – w1)(4%); 11% = 17%w1 + 4% – 4%w1; 7% = 13%w1; w1 = 0.538; 1 –

w1 = 0.462; 0.538(17%) + 0.462(4%) = 11.0%.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 2 Intermediate

Topic: Portfolio weights

 

60. You invest $1,000 in a risky asset with an expected rate of return of 0.17 and a standard deviation of 0.40 and a

T-bill with a rate of return of 0.04.

 

What percentages of your money must be invested in the risk-free asset and the risky asset, respectively, to

form a portfolio with a standard deviation of 0.20?

 

1. 30% and 70%
2. 50% and 50%
3. 60% and 40%
4. 40% and 60%
5. Cannot be determined.

 

0.20 = x(0.40); x = 50% in risky asset.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 2 Intermediate

Topic: Portfolio weights

 

61. You invest $1,000 in a risky asset with an expected rate of return of 0.17 and a standard deviation of 0.40 and a

T-bill with a rate of return of 0.04.

 

The slope of the capital allocation line formed with the risky asset and the risk-free asset is equal to

 

1. 0.325.
2. 0.675.
3. 0.912.
4. 0.407.
5. Cannot be determined.

(0.17 – 0.04)/0.40 = 0.325.

 

AACSB: Knowledge Application

Accessibility: Keyboard Navigation

Blooms: Apply

Difficulty: 2 Intermediate

Topic: Capital allocation line

 

62. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.21 and a

T-bill with a rate of return of 0.045.

 

What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to

form a portfolio with an expected return of 0.13?

 

130. 130.77% and –30.77%
131. –30.77% and 130.77%
132. 67.67% and 33.33%
133. 57.75% and 42.25%
134. Cannot be determined.

 

13% = w1(11%) + (1 – w1)(4.5%); 13% = 11%w1 + 4.5% – 4.5%w1; 8.5% = 6.5%w1; w1 = 1.3077; 1 – w1 =

0.3077; 1.308(11%) + (–0.3077)(4.5%) = 13.00%.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 2 Intermediate

Topic: Portfolio weights

 

63. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.21 and a

T-bill with a rate of return of 0.045.

 

What percentages of your money must be invested in the risk-free asset and the risky asset, respectively, to

form a portfolio with a standard deviation of 0.08?

 

30. 30.1% and 69.9%
31. 50.5% and 49.50%
32. 60.0% and 40.0%
33. 61.9% and 38.1%
34. Cannot be determined.

 

0.08 = x(0.21); x = 38.1% in risky asset.

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 2 Intermediate

Topic: Portfolio weights

 

64. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.21 and a

T-bill with a rate of return of 0.045.

 

A portfolio that has an expected outcome of $114 is formed by

 

1. investing $100 in the risky asset.
2. investing $80 in the risky asset and $20 in the risk-free asset.
3. borrowing $46 at the risk-free rate and investing the total amount ($146) in the risky asset.
4. investing $43 in the risky asset and $57 in the risk-free asset.
5. Such a portfolio cannot be formed.

For $100: (114 – 100)/100 = 14%; 0.14 = w1(0.11) + (1 – w1)(0.045); 0.14 = 0.11w1

+ 0.045 – 0.045w1; 0.095 = 0.065w1; w1 = 1.46($100) = $146; (1 – w1)$100 = –$46.

 

AACSB: Knowledge Application

Accessibility: Keyboard Navigation

Blooms: Understand

Difficulty: 3 Challenge

Topic: Portfolio weights

 

65. You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.21 and a

T-bill with a rate of return of 0.045.

 

The slope of the capital allocation line formed with the risky asset and the risk-free asset is equal to

 

1. 0.4667.
2. 0.8000.
3. 0.3095.
4. 0.41667.
5. Cannot be determined.

 

(0.11 – 0.045)/0.21 = 0.3095.

 

 

AACSB: Knowledge Application

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Blooms: Apply

Difficulty: 2 Intermediate

Topic: Capital allocation line

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Chapter 06 Test Bank – Static Summary

 

Category	# of Questions
AACSB: Knowledge Application	36
AACSB: Reflective Thinking	29
Accessibility: Keyboard Navigation	65
Blooms: Apply	35
Blooms: Remember	8
Blooms: Understand	22
Difficulty: 1 Basic	10
Difficulty: 2 Intermediate	42
Difficulty: 3 Challenge	13
Topic: Capital allocation line	10
Topic: Capital market line	0
Topic: Diversification	0
Topic: Expected return	0
Topic: Indifference curves	7
Topic: Portfolio weights	16
Topic: Risk and return	5
Topic: Risk aversion	2
Topic: Risk-adjusted performance measures (Sharpe, Treynor, Jensen, Information ratio, M2, etc.)	1
Topic: Standard deviation and variance	7
Topic: U.S. Treasury and agency securities	1
Topic: Utility values	7