Practice Test: Portfolio Management - 3

Question 1

An analyst uses the Fama-French three-factor model to estimate the expected return for a portfolio. The following data are provided:

Risk-free rate: 3.0%
Market risk premium: 6.0%; portfolio market beta (β_mkt) = 1.10
SMB premium: 3.0%; portfolio SMB beta (β_SMB) = 0.50
HML premium: 4.0%; portfolio HML beta (β_HML) = 0.30

The expected return for the portfolio is closest to:

Accepted Answer

12.3%

Answer

10.8% (SMB contribution omitted)

Answer

13.5% (HML beta doubled in error)

Question 2

In the Fama-French three-factor model, the HML (High Minus Low) factor is best described as the:

Accepted Answer

Return spread between stocks with high and low book-to-market ratios

Answer

Return spread between small-capitalization and large-capitalization stocks

Answer

Return spread between recent winning and recent losing stocks

Question 3

A risk analyst runs a Fama-French three-factor regression on a mutual fund's monthly returns. The output is presented below:

Variable	Coefficient	t-Statistic
Alpha (intercept)	0.25%	1.85
Market beta	0.95	7.20
SMB coefficient	0.40	2.15
HML coefficient	−0.20	−1.60

The critical t-value at the 5% significance level (two-tailed) is 1.96. Based solely on statistical significance, which coefficients are significant at the 5% level?

Accepted Answer

Market beta and SMB coefficient only

Answer

Alpha and market beta only

Answer

Market beta, SMB coefficient, and HML coefficient

Question 4

A quantitative portfolio manager estimates a Carhart four-factor model for a hedge fund and finds a statistically significant negative loading on the momentum factor (WML - Winners Minus Losers). This result most likely indicates the fund:

Accepted Answer

Systematically holds stocks that have recently underperformed

Answer

Is tilted toward small-capitalization growth stocks

Answer

Has elevated tracking error relative to a market-cap-weighted benchmark

Question 5

An active equity fund reports the following performance statistics over the most recent fiscal year:

Portfolio return: 12.0%
Benchmark return: 9.0%
Tracking error (annualized): 4.0%

The fund's information ratio (IR) is closest to:

Accepted Answer

0.75

Answer

3.00

Answer

0.33

Question 6

The Black-Litterman model is best described as an approach that:

Accepted Answer

Combines market equilibrium implied returns with explicit investor views

Answer

Averages historical factor returns with forward-looking analyst earnings forecasts

Answer

Derives expected returns solely from the risk-free rate and a single market risk premium

Question 7

An analyst applies the Black-Litterman model. An investor expresses a high-confidence view that Stock A will outperform Stock B by 3%. Relative to the market equilibrium returns, the posterior expected return for Stock A will most likely:

Accepted Answer

Move closer to the investor's view relative to the market equilibrium return

Answer

Remain equal to the market equilibrium return regardless of the investor's view confidence

Answer

Be set exactly 3% above Stock B's market equilibrium return

Question 8

A trader places an order to buy 2,000 shares of a security. The order is only partially filled and some shares remain unexecuted at day's end. Implementation shortfall (IS) is best described as:

Accepted Answer

The difference between the return on a hypothetical paper portfolio and the actual executed portfolio

Answer

The difference between the VWAP of executed trades and the day's closing price

Answer

The total explicit commission paid on all executed shares

Question 9

A trader receives an order to buy 500 shares at a decision price of $40.00. All 500 shares are executed at $40.80 per share. The commission is $0.10 per share. The end-of-day price is $42.00. The implementation shortfall expressed in dollars is closest to:

Accepted Answer

$450

Answer

$400

Answer

$550

Question 10

A compliance officer reviews the firm's trade execution policy. The firm currently uses VWAP (Volume-Weighted Average Price) as its primary execution benchmark. A key limitation of VWAP as a benchmark is that it:

Accepted Answer

Can be manipulated by a trader who merely participates proportionally in observed market volume

Answer

Fails to account for intraday price volatility in any form

Answer

Does not incorporate any measure of market liquidity or bid-ask spread

Question 11

A US-based investor holds a position valued at €5,000,000 in European equities. The current EUR/USD spot rate is 1.10. To fully hedge the currency risk back to USD, the investor should:

Accepted Answer

Sell &euro;5,000,000 forward at the current EUR/USD forward rate

Answer

Buy &euro;5,000,000 forward at the current EUR/USD forward rate

Answer

Sell $5,500,000 forward at the current spot rate

Question 12

The USD/GBP spot rate is 1.2500. The one-year USD risk-free rate is 4.0% and the one-year GBP risk-free rate is 2.0%. Using covered interest rate parity, the one-year USD/GBP forward rate is closest to:

Accepted Answer

1.2745

Answer

1.2500

Answer

1.2255

Question 13

A defined benefit pension fund adopts a liability-driven investing (LDI) framework. The primary objective of surplus optimization within an LDI approach is to:

Accepted Answer

Maximize expected surplus return while controlling the volatility of surplus changes

Answer

Maximize the Sharpe ratio of the asset portfolio independently of the fund's liabilities

Answer

Minimize total asset return volatility without reference to liability cash flows

Question 14

A fixed income portfolio manager seeks to immunize a single liability. The manager has matched the duration of the asset portfolio to the duration of the liability. Which of the following statements about this immunization strategy is most accurate?

Accepted Answer

Duration matching is necessary but not sufficient; the present value of assets must also be at least equal to the present value of the liability

Answer

Duration matching alone is sufficient to guarantee the liability will be met under any interest rate environment

Answer

Higher asset convexity than liability convexity is unnecessary and may introduce unwanted exposure

Question 15

A risk manager is analyzing the risk contribution of individual assets within a portfolio. The portfolio has an annualized volatility (σ_P) of 15%. Asset A has a beta of 1.30 relative to the overall portfolio. The marginal contribution to risk (MCTR) of Asset A is closest to:

Accepted Answer

19.5%

Answer

11.5%

Answer

15.0%

Question 16

A chief investment officer implements a formal risk budgeting process across four strategies. The portfolio is considered optimally risk-budgeted when:

Accepted Answer

The ratio of expected excess return to marginal contribution to risk is equal across all positions

Answer

Each strategy contributes an equal dollar amount to total portfolio volatility

Answer

The portfolio's aggregate tracking error is minimized relative to the policy benchmark

Question 17

Which of the following is an assumption of Arbitrage Pricing Theory (APT) that is not required by the Capital Asset Pricing Model (CAPM)?

Accepted Answer

Asset returns are generated by multiple common systematic risk factors

Answer

Investors are rational and risk-averse

Answer

Capital markets are in equilibrium with no transaction costs

Question 18

In institutional portfolio management, BARRA multifactor models are most commonly used to:

Accepted Answer

Decompose and attribute portfolio risk across fundamental factors such as industry and style

Answer

Forecast future equity returns using macroeconomic leading indicators

Answer

Determine optimal strategic asset allocation between equities and fixed income

Question 19

A portfolio manager running a Carhart four-factor model for a long/short equity strategy finds the following regression output:

Variable	Coefficient	t-Statistic
Alpha (intercept)	0.25%	1.85
Market beta	0.95	7.20
SMB coefficient	0.40	2.15
HML coefficient	−0.20	−1.60

The significant negative momentum loading most likely indicates the strategy:

Accepted Answer

Systematically holds stocks that have recently underperformed relative to the market

Answer

Is tilted toward small-capitalization growth stocks with low book-to-market ratios

Answer

Exhibits elevated market beta sensitivity relative to a passive benchmark

Question 20

Two active equity managers report the following annual performance statistics:

Variable	Coefficient	t-Statistic
Alpha (intercept)	0.25%	1.85
Market beta	0.95	7.20
SMB coefficient	0.40	2.15
HML coefficient	−0.20	−1.60

Which manager demonstrates superior risk-adjusted active performance, and why?

Accepted Answer

Fund B, because its information ratio of 0.72 exceeds Fund A's information ratio of 0.50

Answer

Fund A, because its active return of 2.5% exceeds Fund B's active return of 1.8%

Answer

Fund A, because its higher tracking error provides greater potential for outperformance

Question 21

In the Black-Litterman model, the equilibrium expected returns that form the starting point (prior) are derived by:

Accepted Answer

Applying reverse optimization to market-capitalization weights and the asset covariance matrix

Answer

Averaging historical asset returns over a rolling 10-year window adjusted for inflation

Answer

Regressing asset returns on the market factor and extracting the model intercept

Question 22

A US-based fund manager holds a substantial position denominated in Thai Baht (THB). Because the forward market for THB is illiquid, the manager hedges the currency exposure using Singapore Dollar (SGD) forward contracts, relying on the historical correlation between THB and SGD. This hedging strategy is best described as:

Accepted Answer

A proxy (cross) hedge using a correlated currency as a substitute

Answer

A minimum-variance hedge using the optimal hedge ratio formula

Answer

A dynamic delta hedge adjusted periodically to maintain neutrality

Question 23

A trader submits an order to purchase 10,000 shares at a decision price of $25.00. By end of day, only 6,000 shares have been filled at an average price of $25.40. The remaining 4,000 shares are unfilled. The end-of-day price is $26.00. The component of implementation shortfall attributable to shares that were never executed is best described as:

Accepted Answer

Opportunity cost, equal to the price appreciation on the unexecuted portion

Answer

Market impact cost, equal to the execution slippage on filled shares

Answer

Explicit trading cost, captured by commissions on executed shares

Question 24

A fixed income portfolio manager is immunizing a single liability due in 8 years. After setting the asset portfolio duration equal to 8 years, the manager evaluates the convexity profile of the portfolio. Regarding convexity, the manager should prefer a portfolio with:

Accepted Answer

Higher convexity than the liability to provide protection against non-parallel yield curve shifts

Answer

Lower convexity than the liability to reduce second-order sensitivity to interest rate changes

Answer

Zero convexity to eliminate all second-order interest rate risk from the portfolio

Question 25

A performance analyst decomposes a fund manager's reported alpha using a multifactor model. The analysis reveals that the majority of the fund's excess return over the benchmark is attributable to systematic factor exposures (size and value tilts) rather than to individual stock selection. This finding most likely indicates:

Accepted Answer

The reported alpha overstates the manager's true stock-selection ability attributable to skill

Answer

The manager's alpha is genuine and reflects superior information processing skill

Answer

The fund should increase its exposure to market beta to further enhance total returns

Question 26

A risk manager is calculating the minimum-variance hedge ratio for a currency overlay. The following data are available:

Correlation between spot and futures returns (ρ): 0.85
Standard deviation of spot returns (σ_S): 12%
Standard deviation of futures returns (σ_F): 10%

The minimum-variance hedge ratio is closest to:

Accepted Answer

1.02

Answer

0.71

Answer

0.85

Question 27

According to the Arbitrage Pricing Theory (APT), an arbitrage opportunity most likely arises when:

Accepted Answer

Two assets have identical systematic factor exposures but offer different expected returns

Answer

A portfolio's expected return exceeds the risk-free rate by any positive margin

Answer

Factor risk premiums differ across assets in the same industry sector

Question 28

An analyst is selecting between the CAPM and the Fama-French three-factor model to explain the historical returns of two portfolios. Portfolio X is a diversified market-index fund with negligible style tilts. Portfolio Y is a small-cap value strategy with concentrated size and book-to-market exposures. The Fama-French model is most likely to provide superior explanatory power for:

Accepted Answer

Portfolio Y, because its concentrated small-cap and value tilts are captured by the SMB and HML factors

Answer

Portfolio X, because its diversified holdings reduce idiosyncratic risk to near zero

Answer

Both portfolios equally, since the Fama-French model nests the CAPM as a special case

Question 29

A risk manager is computing each asset's percentage contribution to total portfolio risk. The following information is provided:

Weight of Asset X in portfolio: 20%
Beta of Asset X relative to the portfolio: 1.40
Portfolio volatility (σ_P): 10%

The percentage contribution of Asset X to total portfolio risk is closest to:

Accepted Answer

28%

Answer

14%

Answer

20%

Question 30

In a liability-driven investing (LDI) framework, the term surplus is best defined as:

Accepted Answer

The difference between the market value of assets and the present value of liabilities

Answer

The excess return of the asset portfolio above the risk-free rate over a measurement period

Answer

The tracking error of the asset portfolio relative to the liability-matching benchmark

Factor	Coefficient	t-Statistic
Market (MKT-RF)	0.85	9.40
SMB	0.22	1.80
HML	0.15	1.55
Momentum (WML)	−0.55	−3.10

Portfolio Management - 3 - Free MCQ Practice Test with solutions, CFA Level

MCQ Practice Test & Solutions: Practice Test: Portfolio Management - 3 (30 Questions)

In the Fama-French three-factor model, the HML (High Minus Low) factor is best described as the:

A quantitative portfolio manager estimates a Carhart four-factor model for a hedge fund and finds a statistically significant negative loading on the momentum factor (WML - Winners Minus Losers). This result most likely indicates the fund:

An active equity fund reports the following performance statistics over the most recent fiscal year:
Portfolio return: 12.0%
Benchmark return: 9.0%
Tracking error (annualized): 4.0%
The fund's information ratio (IR) is closest to:

The Black-Litterman model is best described as an approach that:

An analyst applies the Black-Litterman model. An investor expresses a high-confidence view that Stock A will outperform Stock B by 3%. Relative to the market equilibrium returns, the posterior expected return for Stock A will most likely:

A trader places an order to buy 2,000 shares of a security. The order is only partially filled and some shares remain unexecuted at day's end. Implementation shortfall (IS) is best described as:

A trader receives an order to buy 500 shares at a decision price of $40.00. All 500 shares are executed at $40.80 per share. The commission is $0.10 per share. The end-of-day price is $42.00. The implementation shortfall expressed in dollars is closest to:

A compliance officer reviews the firm's trade execution policy. The firm currently uses VWAP (Volume-Weighted Average Price) as its primary execution benchmark. A key limitation of VWAP as a benchmark is that it:

A US-based investor holds a position valued at €5,000,000 in European equities. The current EUR/USD spot rate is 1.10. To fully hedge the currency risk back to USD, the investor should:

The USD/GBP spot rate is 1.2500. The one-year USD risk-free rate is 4.0% and the one-year GBP risk-free rate is 2.0%. Using covered interest rate parity, the one-year USD/GBP forward rate is closest to:

A defined benefit pension fund adopts a liability-driven investing (LDI) framework. The primary objective of surplus optimization within an LDI approach is to:

A fixed income portfolio manager seeks to immunize a single liability. The manager has matched the duration of the asset portfolio to the duration of the liability. Which of the following statements about this immunization strategy is most accurate?

A risk manager is analyzing the risk contribution of individual assets within a portfolio. The portfolio has an annualized volatility (σ_P) of 15%. Asset A has a beta of 1.30 relative to the overall portfolio. The marginal contribution to risk (MCTR) of Asset A is closest to:

A chief investment officer implements a formal risk budgeting process across four strategies. The portfolio is considered optimally risk-budgeted when:

Which of the following is an assumption of Arbitrage Pricing Theory (APT) that is not required by the Capital Asset Pricing Model (CAPM)?

In institutional portfolio management, BARRA multifactor models are most commonly used to:

Two active equity managers report the following annual performance statistics:
Manager Active Return Tracking Error
Fund A 2.5% 5.0%
Fund B 1.8% 2.5%
Which manager demonstrates superior risk-adjusted active performance, and why?

In the Black-Litterman model, the equilibrium expected returns that form the starting point (prior) are derived by:

A fixed income portfolio manager is immunizing a single liability due in 8 years. After setting the asset portfolio duration equal to 8 years, the manager evaluates the convexity profile of the portfolio. Regarding convexity, the manager should prefer a portfolio with:

According to the Arbitrage Pricing Theory (APT), an arbitrage opportunity most likely arises when:

In a liability-driven investing (LDI) framework, the term surplus is best defined as:

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Portfolio Management - 3 - Free MCQ Practice Test with solutions, CFA Level

MCQ Practice Test & Solutions: Practice Test: Portfolio Management - 3 (30 Questions)

In the Fama-French three-factor model, the HML (High Minus Low) factor is best described as the:

A quantitative portfolio manager estimates a Carhart four-factor model for a hedge fund and finds a statistically significant negative loading on the momentum factor (WML - Winners Minus Losers). This result most likely indicates the fund:

An active equity fund reports the following performance statistics over the most recent fiscal year:Portfolio return: 12.0%Benchmark return: 9.0%Tracking error (annualized): 4.0%The fund's information ratio (IR) is closest to:

The Black-Litterman model is best described as an approach that:

An analyst applies the Black-Litterman model. An investor expresses a high-confidence view that Stock A will outperform Stock B by 3%. Relative to the market equilibrium returns, the posterior expected return for Stock A will most likely:

A trader places an order to buy 2,000 shares of a security. The order is only partially filled and some shares remain unexecuted at day's end. Implementation shortfall (IS) is best described as:

A trader receives an order to buy 500 shares at a decision price of $40.00. All 500 shares are executed at $40.80 per share. The commission is $0.10 per share. The end-of-day price is $42.00. The implementation shortfall expressed in dollars is closest to:

A compliance officer reviews the firm's trade execution policy. The firm currently uses VWAP (Volume-Weighted Average Price) as its primary execution benchmark. A key limitation of VWAP as a benchmark is that it:

A US-based investor holds a position valued at €5,000,000 in European equities. The current EUR/USD spot rate is 1.10. To fully hedge the currency risk back to USD, the investor should:

The USD/GBP spot rate is 1.2500. The one-year USD risk-free rate is 4.0% and the one-year GBP risk-free rate is 2.0%. Using covered interest rate parity, the one-year USD/GBP forward rate is closest to:

A defined benefit pension fund adopts a liability-driven investing (LDI) framework. The primary objective of surplus optimization within an LDI approach is to:

A fixed income portfolio manager seeks to immunize a single liability. The manager has matched the duration of the asset portfolio to the duration of the liability. Which of the following statements about this immunization strategy is most accurate?

A risk manager is analyzing the risk contribution of individual assets within a portfolio. The portfolio has an annualized volatility (σP) of 15%. Asset A has a beta of 1.30 relative to the overall portfolio. The marginal contribution to risk (MCTR) of Asset A is closest to:

A chief investment officer implements a formal risk budgeting process across four strategies. The portfolio is considered optimally risk-budgeted when:

Which of the following is an assumption of Arbitrage Pricing Theory (APT) that is not required by the Capital Asset Pricing Model (CAPM)?

In institutional portfolio management, BARRA multifactor models are most commonly used to:

Two active equity managers report the following annual performance statistics:ManagerActive ReturnTracking ErrorFund A2.5%5.0%Fund B1.8%2.5%Which manager demonstrates superior risk-adjusted active performance, and why?

In the Black-Litterman model, the equilibrium expected returns that form the starting point (prior) are derived by:

A fixed income portfolio manager is immunizing a single liability due in 8 years. After setting the asset portfolio duration equal to 8 years, the manager evaluates the convexity profile of the portfolio. Regarding convexity, the manager should prefer a portfolio with:

According to the Arbitrage Pricing Theory (APT), an arbitrage opportunity most likely arises when:

In a liability-driven investing (LDI) framework, the term surplus is best defined as:

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An active equity fund reports the following performance statistics over the most recent fiscal year:
Portfolio return: 12.0%
Benchmark return: 9.0%
Tracking error (annualized): 4.0%
The fund's information ratio (IR) is closest to:

A risk manager is analyzing the risk contribution of individual assets within a portfolio. The portfolio has an annualized volatility (σ_P) of 15%. Asset A has a beta of 1.30 relative to the overall portfolio. The marginal contribution to risk (MCTR) of Asset A is closest to:

Two active equity managers report the following annual performance statistics:
Manager Active Return Tracking Error
Fund A 2.5% 5.0%
Fund B 1.8% 2.5%
Which manager demonstrates superior risk-adjusted active performance, and why?