Deck 27: The Theory of Active Portfolio Management

Question 1

The beta of an active portfolio is 1.20. The standard deviation of the returns on the market index is 20%. The nonsystematic variance of the active portfolio is 1%. The standard deviation of the returns on the active portfolio is

A) 3.84%.
B) 5.84%.
C) 19.60%.
D) 24.17%.
E) 26.0%.

Answer 1

E

Question 2

Even low-quality forecasts have proven to be valuable because R-squares of only ____________ in regressions of analysts' forecasts can be used to substantially improve portfolio performance.

A) 0.656
B) 0.452
C) 0.258
D) 0.153
E) 0.001

Answer 2

E

Question 3

The Treynor-Black model requires estimates of

A) alpha/beta.
B) alpha/beta/residual variance.
C) beta/residual variance.
D) alpha/residual variance.

Answer 3

B

Question 4

If a portfolio manager consistently obtains a high Sharpe measure, the manager's forecasting ability

A) is above average.
B) is average.
C) is below average.
D) does not exist.
E) cannot be determined based on the Sharpe measure.

Question 5

Tracking error is defined as

A) the difference between the returns on the overall risky portfolio versus the benchmark return.
B) the variance of the return of the benchmark portfolio.
C) the variance of the return difference between the portfolio and the benchmark.
D) the variance of the return of the actively-managed portfolio.

Question 6

Passive portfolio management consists of

A) market timing.
B) security analysis.
C) indexing.
D) market timing and security analysis.
E) None of the options are correct.

Question 7

Alpha forecasts must be ____________ to account for less-than-perfect forecasting quality. When alpha forecasts are ____________ to account for forecast imprecision, the resulting portfolio position becomes ____________.

A) shrunk; shrunk; far less moderate
B) shrunk; shrunk; far more moderate
C) grossed up; grossed up; far less moderate
D) grossed up; grossed up; far more moderate
E) None of the options are correct.

Question 8

Active portfolio management consists of

A) market timing.
B) security analysis.
C) indexing.
D) market timing and/or security analysis.
E) None of the options are correct.

Question 9

____________ can be used to measure forecast quality and guide in the proper adjustment of forecasts.

A) Regression analysis
B) Exponential smoothing
C) ARIMA
D) Moving average models
E) GAUSS

Question 10

Benchmark risk

A) is inevitable and is never a significant issue in practice.
B) is inevitable and is always a significant issue in practice.
C) cannot be constrained to keep a Treynor-Black portfolio within reasonable weights.
D) can be constrained to keep a Treynor-Black portfolio within reasonable weights.

Question 11

Active portfolio managers try to construct a risky portfolio with

A) a higher Sharpe measure than a passive strategy.
B) a lower Sharpe measure than a passive strategy.
C) the same Sharpe measure as a passive strategy.
D) very few securities.

Question 12

The critical variable in the determination of the success of the active portfolio is

A) alpha/systematic risk.
B) alpha/nonsystematic risk.
C) gamma/systematic risk.
D) gamma/nonsystematic risk.

Question 13

Benchmark risk is defined as

A) the return difference between the portfolio and the benchmark.
B) the standard deviation of the return of the benchmark portfolio.
C) the standard deviation of the return difference between the portfolio and the benchmark.
D) the standard deviation of the return of the actively-managed portfolio.

Question 14

Absent research, you should assume the alpha of a stock is

A) zero.
B) positive.
C) negative.
D) not zero.
E) zero or positive.

Question 15

The ____________ model allows the private views of the portfolio manager to be incorporated with market data in the optimization procedure.

A) Black-Litterman
B) Treynor-Black
C) Treynor-Mazuy
D) Black-Scholes

Question 16

The tracking error of an optimized portfolio can be expressed in terms of the ____________ of the portfolio, and thus reveals ____________.

A) return; portfolio performance
B) total risk; portfolio performance
C) beta; portfolio performance
D) beta; benchmark risk
E) relative return; benchmark risk

Question 17

If you begin with a ______ and obtain additional data from an experiment, you can form a ______.

A) posterior distribution; prior distribution
B) prior distribution; posterior distribution
C) tight posterior; Bayesian analysis
D) tight prior; Bayesian analysis
E) None of the options are correct.

Question 18

The Black-Litterman model and Treynor-Black model are

A) nice in theory but practically useless in modern portfolio management.
B) complementary tools that should be used in portfolio management.
C) contradictory models that cannot be used together. Therefore, portfolio managers must choose which one suits their needs.
D) not useful due to their complexity.
E) None of the options are correct.

Question 19

The Black-Litterman model is geared toward ____________ while the Treynor-Black model is geared toward ____________.

A) security analysis; security analysis
B) asset allocation; asset allocation
C) security analysis; asset allocation
D) asset allocation; security analysis
E) None of the options are correct.

Question 20

The Treynor-Black model is a model that shows how an investment manager can use security analysis and statistics to construct

A) a market portfolio.
B) a passive portfolio.
C) an active portfolio.
D) an index portfolio.
E) a balanced portfolio.

Question 21

There appears to be a role for a theory of active portfolio management because

A) some portfolio managers have produced sequences of abnormal returns that are difficult to label as lucky outcomes.
B) the "noise" in the realized returns is enough to prevent the rejection of the hypothesis that some money managers have outperformed a passive strategy by a statistically small, yet economic, margin.
C) some anomalies in realized returns have been persistent enough to suggest that portfolio managers who identified these anomalies in a timely fashion could have outperformed a passive strategy over prolonged periods.
D) some portfolio managers have produced sequences of abnormal returns that are difficult to label as lucky outcomes, and the "noise" in the realized returns is enough to prevent the rejection of the hypothesis that some money managers have outperformed a passive strategy by a statistically small, yet economic, margin.
E) All of the options are correct.

Question 22

A manager who uses the mean-variance theory to construct an optimal portfolio will satisfy

A) investors with low risk-aversion coefficients.
B) investors with high risk-aversion coefficients.
C) investors with moderate risk-aversion coefficients.
D) all investors regardless of their level of risk aversion.
E) only clients with whom she has established long-term relationships because she knows their personal preferences.

Question 23

Consider the Treynor-Black model. The alpha of an active portfolio is 3%. The expected return on the market index is 18%. The standard deviation of the return on the market portfolio is 25%. The nonsystematic standard deviation of the active portfolio is 15%. The risk-free rate of return is 6%. The beta of the active portfolio is 1.2. The optimal proportion to invest in the active portfolio is

A) 50.0%.
B) 69.4%.
C) 72.3%.
D) 80.6%.
E) 100.0%.

Question 24

Which of the following are not true regarding the Treynor-Black model?

A) It considers both macroeconomic and microeconomic risks.
B) It considers security selection only.
C) It is nearly impossible to implement.
D) It considers both macroeconomic and microeconomic risks, and it is nearly impossible to implement.
E) It considers security selection only, and it is nearly impossible to implement.

Question 25

A purely passive strategy

A) uses only index funds.
B) uses weights that change in response to market conditions.
C) uses only risk-free assets.
D) is best if there is "noise" in realized returns.
E) is useless if abnormal returns are available.

Question 26

An active portfolio manager faces a trade-off betweenI) using the Sharpe measure.II) using mean-variance analysis.III) exploiting perceived security mispricings.IV) holding too much of the risk-free asset.V) letting a few stocks dominate the portfolio.

A) I and II
B) II and V
C) III and V
D) III and IV
E) II and III

Question 27

Consider the Treynor-Black model. The alpha of an active portfolio is 2%. The expected return on the market index is 16%. The variance of return on the market portfolio is 4%. The nonsystematic variance of the active portfolio is 1%. The risk-free rate of return is 8%. The beta of the active portfolio is 1. The optimal proportion to invest in the active portfolio is

A) 0%.
B) 25%.
C) 50%.
D) 100%.

Question 28

Ideally, clients would like to invest with the portfolio manager who has

A) a moderate personal risk-aversion coefficient.
B) a low personal risk-aversion coefficient.
C) the highest Sharpe measure.
D) the highest record of realized returns.
E) the lowest record of standard deviations.

Question 29

Consider the Treynor-Black model. The alpha of an active portfolio is 1%. The expected return on the market index is 16%. The variance of the return on the market portfolio is 4%. The nonsystematic variance of the active portfolio is 1%. The risk-free rate of return is 8%. The beta of the active portfolio is 1.05. The optimal proportion to invest in the active portfolio is

A) 48.7%.
B) 50.0%.
C) 51.3%.
D) 100.0%.

Question 30

Consider these two investment strategies: $\begin{array}{cc}& \text { Strategy1\%} &\text { Strategy2\%} \\ \text { Expected return } &6&9\\ \text { Standard deviation } &0&4\\ \text {Highest return } &6&15\\ \text { Lowest return } &6&6\\\end{array}$
Strategy __________ is the dominant strategy because __________.

A) 1; it is riskless
B) 1; it has the highest reward/risk ratio
C) 2; its return is greater than or equal to the return of Strategy 1
D) 2; it has the highest reward/risk ratio
E) Both strategies are equally preferred.

Question 31

The beta of an active portfolio is 1.45. The standard deviation of the returns on the market index is 22%. The nonsystematic variance of the active portfolio is 0.03. The standard deviation of the returns on the active portfolio is

A) 36.30%.
B) 5.84%.
C) 19.60%.
D) 24.17%.
E) 26.0%.

Question 32

The Treynor-Black model does not assume that

A) the objective of security analysis is to form an active portfolio of a limited number of mispriced securities.
B) the cost of less than full diversification comes from the nonsystematic risk of the mispriced stock.
C) the optimal weight of a mispriced security in the active portfolio is a function of the degree of mispricing, the market sensitivity of the security, and its degree of nonsystematic risk.
D) indexing is always optimal.

Question 33

The Treynor-Black model assumes that

A) the objective of security analysis is to form an active portfolio of a limited number of mispriced securities.
B) the cost of less than full diversification comes from the nonsystematic risk of the mispriced stock.
C) the optimal weight of a mispriced security in the active portfolio is a function of the degree of mispricing, the market sensitivity of the security, and its degree of nonsystematic risk.
D) All of the options are correct.
E) None of the options are correct.

Question 34

According to the Treynor-Black model, the weight of a security in the active portfolio depends on the ratio of __________ to __________.

A) the degree of mispricing; the nonsystematic risk of the security
B) the degree of mispricing; the systematic risk of the security
C) the market sensitivity of the security; the nonsystematic risk of the security
D) the nonsystematic risk of the security; the systematic risk of the security
E) the total return on the security; the nonsystematic risk of the security

Question 35

A purely passive strategy is defined as

A) one that uses only index funds.
B) one that allocates assets in fixed proportions that do not vary with market conditions.
C) one that is mean-variance efficient.
D) one that uses only index funds and allocates assets in fixed proportions that do not vary with market conditions.
E) All of the options are correct.

Question 36

To determine the optimal risky portfolio in the Treynor-Black model, macroeconomic forecasts are used for the _________, and composite forecasts are used for the __________.

A) passive index portfolio; active portfolio
B) active portfolio, passive index portfolio
C) expected return; standard deviation
D) expected return ; beta coefficient
E) alpha coefficient; beta coefficient

Question 37

One property of a risky portfolio that combines an active portfolio of mispriced securities with a market portfolio is that, when optimized, its squared Sharpe measure increases by the square of the active portfolio's

A) Sharpe ratio.
B) information ratio.
C) alpha.
D) Treynor measure.
E) None of the options are correct.

Question 38

The beta of an active portfolio is 1.36. The standard deviation of the returns on the market index is 22%. The nonsystematic variance of the active portfolio is 1.2%. The standard deviation of the returns on the active portfolio is

A) 3.19%.
B) 31.86%.
C) 42.00%.
D) 27.57%.
E) 2.86%.

Question 39

The Treynor-Black model

A) considers both macroeconomic and microeconomic risks.
B) considers security selection only.
C) is nearly impossible to implement.
D) considers both macroeconomic and microeconomic risks and is nearly impossible to implement.
E) considers security selection only and is nearly impossible to implement.

Question 40

Consider these two investment strategies: $\begin{array}{cc}& \text { Strategy1\%} &\text { Strategy2\%} \\ \text { Expected return } &6&9\\ \text { Standard deviation } &0&4\\ \text {Highest return } &6&15\\ \text { Lowest return } &6&6\\\end{array}$

Strategy __________ is the dominant strategy because __________.

A) 1; it is riskless
B) 1; it has the highest reward/risk ratio
C) 2; its return is greater than or equal to the return of Strategy 1
D) 2; it has the highest reward/risk ratio
E) Both strategies are equally preferred.

Question 41

The beta of an active portfolio is .80. The standard deviation of the returns on the market index is 25%. The nonsystematic variance of the active portfolio is 0.03. The standard deviation of the returns on the active portfolio is

A) 28.32%.
B) 26.46%.
C) 24.62%.
D) 22.17%.
E) 20.08%.

Question 42

Consider the Treynor-Black model. The alpha of an active portfolio is 2%. The expected return on the market index is 12%. The variance of the return on the market portfolio is 0.04. The nonsystematic variance of the active portfolio is 0.02. The risk-free rate of return is 3%. The beta of the active portfolio is 1.15. The optimal proportion to invest in the active portfolio is

A) 48.7%.
B) 98.3%.
C) 47.6%.
D) 100.0%.

Question 43

Consider the Treynor-Black model. The alpha of an active portfolio is 1%. The expected return on the market index is 11%. The variance of return on the market portfolio is 0.06. The nonsystematic variance of the active portfolio is 0.02. The risk-free rate of return is 4%. The beta of the active portfolio is 1.1. The optimal proportion to invest in the active portfolio is

A) 45%.
B) 25%.
C) 50%.
D) 100%.

Question 44

The beta of an active portfolio is 2.03. The standard deviation of the returns on the market index is 25%. The nonsystematic variance of the active portfolio is 0.06. The standard deviation of the returns on the active portfolio is

A) 56.35%.
B) 42.62%.
C) 39.60%.
D) 34.17%.
E) 26.00%.

Question 45

The beta of an active portfolio is 1.36. The standard deviation of the returns on the market index is 14%. The nonsystematic variance of the active portfolio is 0.04. The standard deviation of the returns on the active portfolio is

A) 36.46%.
B) 22.62%.
C) 19.60%.
D) 24.17%.
E) 27.61%.

Question 46

Kane, Marcus, and Trippi (1999) show that the annualized fee that investors should be willing to pay for active management, over and above the fee charged by a passive index fund, does not depend onI) the investor's coefficient of risk aversion.II) the value of the at-the-money call option on the market portfolio.III) the value of the out-of-the-money call option on the market portfolio.IV) the precision of the security analyst.V) the distribution of the squared information ratio in the universe of securities.

A) I, II, and IV
B) II, III, and V
C) II and III
D) I, IV, and V
E) II, IV, and V

Question 47

The beta of an active portfolio is 1.17. The standard deviation of the returns on the market index is 23%. The nonsystematic variance of the active portfolio is 0.06. The standard deviation of the returns on the active portfolio is

A) 32.46%.
B) 30.62%.
C) 29.60%.
D) 27.17%.
E) 36.39%.

Question 48

Perfect timing ability is equivalent to having __________ on the market portfolio.

A) a call option
B) a futures contract
C) a put option
D) a commodities contract

Question 49

The beta of an active portfolio is .97. The standard deviation of the returns on the market index is 15%. The nonsystematic variance of the active portfolio is 0.03. The standard deviation of the returns on the active portfolio is

A) 36.30%.
B) 22.62%.
C) 19.60%.
D) 24.17%.
E) 27.61%.

Question 50

Kane, Marcus, and Trippi (1999) show that the annualized fee that investors should be willing to pay for active management, over and above the fee charged by a passive index fund, depends onI) the investor's coefficient of risk aversion.II) the value of the at-the-money call option on the market portfolio.III) the value of the out-of-the-money call option on the market portfolio.IV) the precision of the security analyst.V) the distribution of the squared information ratio in the universe of securities.

A) I, II, and IV
B) I, III, and V
C) II, IV, and V
D) I, IV, and V
E) II, III, and V

Question 51

Consider the Treynor-Black model. The alpha of an active portfolio is 3%. The expected return on the market index is 10%. The variance of the return on the market portfolio is 0.04. The nonsystematic variance of the active portfolio is 0.02. The risk-free rate of return is 3%. The beta of the active portfolio is 1.15. The optimal proportion to invest in the active portfolio is

A) 48.7%.
B) 98.4%.
C) 51.3%.
D) 100.0%.

Question 52

The beta of an active portfolio is 1.60. The standard deviation of the returns on the market index is 18%. The nonsystematic variance of the active portfolio is 0.05. The standard deviation of the returns on the active portfolio is

A) 36.46%.
B) 22.62%.
C) 19.60%.
D) 24.17%.
E) 27.61%.