Practice Test: Portfolio Management - 1

Question 1

An analyst applies the Fama-French three-factor model to estimate the expected return for a domestic equity fund. The following data are available:

Risk-free rate: 2.0%
Market risk premium (R_m − R_f): 5.0%
SMB premium: 3.0%
HML premium: 4.0%
Fund beta (market): 1.20
Fund beta (SMB): 0.40
Fund beta (HML): 0.30

The expected return of the fund is closest to:

Accepted Answer

10.40%

Answer

9.20%

Answer

11.60%

Question 2

A researcher estimates the Carhart four-factor model for a domestic equity mutual fund using monthly returns over a five-year period. The regression output is shown below:

Factor	Coefficient	t-statistic
Intercept (α)	0.30%	1.85
Market (MKT)	1.10	9.20
Size (SMB)	0.45	2.30
Value (HML)	−0.25	−1.60
Momentum (WML)	0.55	3.10

The critical t-value at the 5% significance level (two-tailed) is 1.96. Which factor coefficients are statistically significant at the 5% level?

Accepted Answer

Market beta, SMB, and momentum only

Answer

Alpha, market beta, and momentum only

Answer

Market beta, SMB, HML, and momentum

Question 3

A portfolio analyst is discussing the theoretical underpinnings of the Arbitrage Pricing Theory (APT) with a junior colleague. Which of the following statements most accurately describes the APT?

Accepted Answer

APT is a multifactor model in which expected returns are determined by exposures to multiple systematic risk factors, and it does not require the market portfolio to be mean-variance efficient

Answer

APT requires all investors to hold the market portfolio as the optimal risky asset, consistent with the CAPM framework

Answer

APT specifies that all factor risk premiums must be positive and observable in cross-sectional return data

Question 4

A fixed-income portfolio manager generates an annualized active return of 1.30% relative to the benchmark. The annualized tracking error of the portfolio is 2.60%. The information ratio of the portfolio is closest to:

Accepted Answer

0.50

Answer

0.65

Answer

0.33

Question 5

A portfolio strategist is evaluating the Black-Litterman (BL) model for mean-variance optimization. Which of the following statements best describes the Black-Litterman model?

Accepted Answer

The Black-Litterman model blends market-implied equilibrium returns with investor views, addressing the problem of extreme portfolio weights common in unconstrained mean-variance optimization

Answer

The Black-Litterman model uses historical average returns over a prior estimation period as the equilibrium expected return prior

Answer

The Black-Litterman model constrains all portfolio weights to equal market-capitalization weights unless the manager specifies a quantitative view

Question 6

A U.S.-based portfolio manager holds EUR 20 million in European equities and wishes to calculate the minimum-variance currency hedge ratio. The following data are available:

Correlation between portfolio returns (EUR) and EUR/USD rate: 0.40
Standard deviation of portfolio returns (EUR): 18%
Standard deviation of EUR/USD exchange rate: 10%

The notional EUR amount the manager should sell forward to achieve the minimum-variance hedge is closest to:

Accepted Answer

EUR 14.40 million

Answer

EUR 8.00 million

Answer

EUR 20.00 million

Question 7

A trader receives an order to buy 1,000 shares of a stock. The decision price at the time the order is initiated is $50.00. Execution details are as follows:

500 shares filled at $50.40
400 shares filled at $50.80
100 shares remain unfilled
Closing market price: $51.00

No explicit commissions are charged. The implementation shortfall as a percentage of the paper portfolio value is closest to:

Accepted Answer

1.24%

Answer

0.76%

Answer

0.60%

Question 8

A trading desk compliance officer is reviewing benchmark selection criteria for evaluating order execution quality. Which of the following statements regarding the VWAP benchmark is most accurate?

Accepted Answer

VWAP measures execution quality by comparing trade prices to the volume-weighted average price over the trading period, but is less suitable for large orders that may themselves influence the benchmark

Answer

VWAP is equivalent to implementation shortfall when all shares in an order are fully executed within the trading day

Answer

VWAP measures pre-trade market conditions and is most appropriate for benchmarking large block trades that significantly affect market prices

Question 9

A fixed-income portfolio manager is constructing a classically immunized portfolio to meet a single liability due in seven years. Which of the following is not a necessary condition for classical single-period immunization?

Accepted Answer

All asset cash flows must occur on or before the liability payment date

Answer

The present value of the asset portfolio must equal the present value of the liability

Answer

The Macaulay duration of the asset portfolio must equal the time horizon of the liability

Question 10

A risk analyst is conducting a risk attribution analysis for an equity portfolio. The following data are provided:

Portfolio standard deviation: 12%
Asset Z weight in portfolio: 30%
Covariance of Asset Z with portfolio: 0.0216

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

Accepted Answer

45%

Answer

18%

Answer

5.4%

Question 11

An analyst is computing the economic value added (EVA) for a manufacturing company. The following data are available:

Net operating profit after tax (NOPAT): $80 million
Invested capital: $600 million
Weighted average cost of capital (WACC): 8%

The EVA for the company is closest to:

Accepted Answer

$32 million

Answer

$48 million

Answer

$80 million

Question 12

A quantitative strategist explains the role of the investor confidence parameter in the Black-Litterman model to an investment committee. Which of the following statements regarding the effect of confidence on posterior expected returns is most accurate?

Accepted Answer

As confidence in investor views increases, posterior expected returns converge toward the investor's stated views rather than toward market equilibrium implied returns

Answer

As confidence in investor views increases, posterior expected returns converge toward market equilibrium implied returns rather than toward the investor's stated views

Answer

The confidence parameter in the Black-Litterman model affects only the variance of posterior returns and has no effect on the posterior mean expected returns

Question 13

A U.S. institutional investor holds a GBP 5 million position in UK equities. The current spot rate is GBP/USD = 1.25 and the three-month forward rate is GBP/USD = 1.24. The investor sells GBP 5 million forward at the three-month forward rate to fully hedge currency exposure. The USD-hedged value of the position at contract expiry is closest to:

Accepted Answer

$6.20 million

Answer

$6.25 million

Answer

$6.00 million

Question 14

A research analyst runs the Fama-French three-factor regression for an equity mutual fund. The output is as follows:

Factor	Coefficient	t-statistic
Intercept (α)	0.30%	1.85
Market (MKT)	1.10	9.20
Size (SMB)	0.45	2.30
Value (HML)	−0.25	−1.60
Momentum (WML)	0.55	3.10

The critical t-value at the 5% level (two-tailed) is 1.96. Which conclusion is most accurate?

Accepted Answer

The fund has statistically significant tilts toward small-cap and growth stocks, while alpha is not statistically significant at the 5% level

Answer

The fund generates statistically significant alpha at the 5% level, indicating manager skill beyond factor exposures

Answer

The negative HML coefficient indicates a statistically significant value tilt in the fund's portfolio

Question 15

A compliance officer is reviewing the trading cost measurement framework used by a portfolio management team. Which of the following statements regarding implementation shortfall is most accurate?

Accepted Answer

Implementation shortfall captures explicit costs, realized price impact, delay costs, and missed trade opportunity costs, representing the total cost of executing an order relative to a paper portfolio

Answer

Implementation shortfall includes only explicit trading costs such as commissions and bid-ask spreads, and excludes market impact

Answer

Implementation shortfall is equivalent to VWAP slippage and is most appropriate for evaluating very large block orders relative to daily volume

Question 16

A defined benefit pension fund has total assets of $100 million and a present value of liabilities of $100 million. The asset portfolio has a Macaulay duration of 6 years and the liability has a duration of 10 years. If interest rates rise by 50 basis points across all maturities, the approximate change in surplus is closest to:

Accepted Answer

+$2 million

Answer

&minus;$2 million

Answer

+$3 million

Question 17

A chief investment officer is designing a risk budgeting framework to allocate active risk across multiple portfolio managers. In this framework, the optimal allocation of active risk is achieved when:

Accepted Answer

The marginal contribution to the information ratio is equalized across all active positions

Answer

Each active position receives an equal share of the total active risk (tracking error) budget regardless of expected alpha

Answer

Active positions are sized proportional to their standalone tracking error independent of their expected excess return

Question 18

A portfolio manager uses the Carhart four-factor model to estimate the expected return for an equity fund. The following factor data are available:

Risk-free rate: 3.0%
Market risk premium: 5.0%; fund market beta: 1.00
SMB premium: 2.0%; fund SMB beta: 0.30
HML premium: 3.0%; fund HML beta: −0.20
WML (momentum) premium: 4.0%; fund WML beta: 0.40

The expected return of the fund is closest to:

Accepted Answer

9.60%

Answer

8.00%

Answer

11.20%

Question 19

A global portfolio manager holds a significant position denominated in Korean Won (KRW). Due to limited liquidity in the KRW forward market, the manager considers using Japanese Yen (JPY) forward contracts as a proxy hedge. Which statement most accurately describes a key risk of this approach?

Accepted Answer

A proxy hedge introduces basis risk because the hedging currency and the exposure currency may not move together perfectly, leaving residual currency exposure

Answer

A proxy hedge eliminates all currency risk because JPY forward contracts provide an economically equivalent hedge to KRW forwards

Answer

A proxy hedge is appropriate only when the direct forward market offers a forward rate less favorable than the spot rate

Question 20

A pension consultant is comparing cash flow matching (dedicated portfolio) strategies with classical duration-matching immunization for a defined benefit plan. Which of the following most accurately distinguishes cash flow matching from duration immunization?

Accepted Answer

Cash flow matching eliminates reinvestment risk for matched cash flows but typically requires a larger initial investment than duration immunization

Answer

Cash flow matching requires more frequent rebalancing than duration immunization to maintain the hedge as interest rates change

Answer

Cash flow matching is more sensitive to non-parallel yield curve shifts than duration immunization due to its reliance on a single duration measure

Question 21

A performance analyst decomposes the active return of an equity fund. The fund generated an active return of 2.40% relative to its benchmark with a tracking error of 4.0%. The Fama-French three-factor model attributes 1.80% of active return to factor tilts (size and value exposures). The portion of active return attributable to security selection is closest to:

Accepted Answer

0.60%

Answer

2.40%

Answer

1.80%

Question 22

A risk manager is explaining the BARRA multifactor model to a new analyst. Which of the following statements most accurately describes the BARRA model?

Accepted Answer

The BARRA model is a commercially implemented multifactor risk model that uses fundamental and style factors estimated from cross-sectional return data to decompose portfolio risk

Answer

The BARRA model is a theoretical no-arbitrage pricing framework analogous to APT, with factor premiums derived from equilibrium conditions rather than empirical data

Answer

The BARRA model requires the analyst to pre-specify all factor risk premiums before estimating individual security factor exposures

Question 23

A portfolio manager places a buy order for 1,000 shares. The decision price is $50.00. Execution proceeds as follows:

Day 1: 500 shares filled at $50.40
Day 2: 300 shares filled at $51.00
300 shares remain unfilled at the end of Day 2
Closing price at end of Day 2: $51.50

No commissions are charged. The implementation shortfall as a percentage of the paper portfolio value is closest to:

Accepted Answer

1.60%

Answer

1.10%

Answer

0.80%

Question 24

A quantitative analyst is explaining how the Black-Litterman model derives its starting point for expected returns. Which of the following most accurately describes how equilibrium expected returns are determined in the Black-Litterman framework?

Accepted Answer

Equilibrium expected returns are derived through reverse optimization, using market-capitalization portfolio weights, a risk aversion parameter, and the asset covariance matrix

Answer

Equilibrium expected returns are derived from a ten-year historical return average for each asset class, adjusted for current volatility levels

Answer

Equilibrium expected returns represent a simple equal-weighted average of analyst consensus forecasts and CAPM-implied expected returns

Question 25

A risk analyst calculates the marginal contribution to risk (MCTR) for Asset Y in a portfolio. The following data are provided:

Portfolio standard deviation: 15%
Covariance of Asset Y with the portfolio: 0.030

The marginal contribution to risk (MCTR) for Asset Y is closest to:

Accepted Answer

20%

Answer

5%

Answer

45%

Question 26

An active equity manager applies the Fundamental Law of Active Management. The manager has an information coefficient (IC) of 0.08 and makes 100 independent investment decisions per year. The expected information ratio is closest to:

Accepted Answer

0.80

Answer

0.08

Answer

8.00

Question 27

A U.S.-based portfolio manager holds EUR 8 million in a European equity portfolio. The following data are available for the minimum-variance currency hedge:

Correlation between equity portfolio returns (EUR) and EUR/USD exchange rate movements: 0.40
Standard deviation of portfolio returns (EUR): 18%
Standard deviation of EUR/USD exchange rate: 10%

The notional EUR amount to be sold forward to minimize portfolio variance is closest to:

Accepted Answer

EUR 5.76 million

Answer

EUR 3.20 million

Answer

EUR 8.00 million

Question 28

An investment consultant is presenting the liability-driven investing (LDI) framework to a corporate pension fund board. Which of the following statements regarding surplus risk in the LDI framework is most accurate?

Accepted Answer

In LDI, surplus risk measures the volatility of the difference between asset values and the present value of liabilities, making liability duration a central input in portfolio construction

Answer

In LDI, the primary optimization target is to minimize the absolute volatility of the total asset portfolio independently of the liability structure

Answer

In LDI, tracking error relative to a broad bond market index is minimized by constructing a portfolio composed exclusively of zero-coupon bonds matched to liability cash flows

Question 29

A risk officer is evaluating the use of a multifactor risk model within a risk budgeting framework. Which of the following statements about factor model-based risk budgeting is most accurate?

Accepted Answer

Factor model-based risk budgeting identifies which factor exposures and individual positions contribute most to total portfolio variance, enabling more informed active risk allocation decisions

Answer

Factor model-based risk budgeting allocates only idiosyncratic (security-specific) risk across positions, treating systematic factor contributions as non-attributable

Answer

Within a factor model risk budgeting framework, positions with equal capital allocation always have equal marginal contributions to total portfolio risk

Question 30

A multi-manager portfolio strategist applies the extended Fundamental Law of Active Management, incorporating the transfer coefficient (TC) to account for portfolio construction constraints. The following data are provided:

Information coefficient (IC): 0.06
Investment breadth (BR): 225 independent decisions per year
Transfer coefficient (TC): 0.70

The realized information ratio after accounting for portfolio constraints is closest to:

Accepted Answer

0.63

Answer

0.90

Answer

0.42

Portfolio Management - 1 - Free MCQ Practice Test with solutions, CFA Level

MCQ Practice Test & Solutions: Practice Test: Portfolio Management - 1 (30 Questions)

A portfolio analyst is discussing the theoretical underpinnings of the Arbitrage Pricing Theory (APT) with a junior colleague. Which of the following statements most accurately describes the APT?

A fixed-income portfolio manager generates an annualized active return of 1.30% relative to the benchmark. The annualized tracking error of the portfolio is 2.60%. The information ratio of the portfolio is closest to:

A portfolio strategist is evaluating the Black-Litterman (BL) model for mean-variance optimization. Which of the following statements best describes the Black-Litterman model?

A trading desk compliance officer is reviewing benchmark selection criteria for evaluating order execution quality. Which of the following statements regarding the VWAP benchmark is most accurate?

A fixed-income portfolio manager is constructing a classically immunized portfolio to meet a single liability due in seven years. Which of the following is not a necessary condition for classical single-period immunization?

An analyst is computing the economic value added (EVA) for a manufacturing company. The following data are available:
Net operating profit after tax (NOPAT): $80 million
Invested capital: $600 million
Weighted average cost of capital (WACC): 8%
The EVA for the company is closest to:

A quantitative strategist explains the role of the investor confidence parameter in the Black-Litterman model to an investment committee. Which of the following statements regarding the effect of confidence on posterior expected returns is most accurate?

A compliance officer is reviewing the trading cost measurement framework used by a portfolio management team. Which of the following statements regarding implementation shortfall is most accurate?

A chief investment officer is designing a risk budgeting framework to allocate active risk across multiple portfolio managers. In this framework, the optimal allocation of active risk is achieved when:

A global portfolio manager holds a significant position denominated in Korean Won (KRW). Due to limited liquidity in the KRW forward market, the manager considers using Japanese Yen (JPY) forward contracts as a proxy hedge. Which statement most accurately describes a key risk of this approach?

A pension consultant is comparing cash flow matching (dedicated portfolio) strategies with classical duration-matching immunization for a defined benefit plan. Which of the following most accurately distinguishes cash flow matching from duration immunization?

A risk manager is explaining the BARRA multifactor model to a new analyst. Which of the following statements most accurately describes the BARRA model?

A quantitative analyst is explaining how the Black-Litterman model derives its starting point for expected returns. Which of the following most accurately describes how equilibrium expected returns are determined in the Black-Litterman framework?

A risk analyst calculates the marginal contribution to risk (MCTR) for Asset Y in a portfolio. The following data are provided:
Portfolio standard deviation: 15%
Covariance of Asset Y with the portfolio: 0.030
The marginal contribution to risk (MCTR) for Asset Y is closest to:

An active equity manager applies the Fundamental Law of Active Management. The manager has an information coefficient (IC) of 0.08 and makes 100 independent investment decisions per year. The expected information ratio is closest to:

An investment consultant is presenting the liability-driven investing (LDI) framework to a corporate pension fund board. Which of the following statements regarding surplus risk in the LDI framework is most accurate?

A risk officer is evaluating the use of a multifactor risk model within a risk budgeting framework. Which of the following statements about factor model-based risk budgeting is most accurate?

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Factor	Coefficient	t-statistic
Intercept (α)	0.15%	0.90
Market (MKT)	0.95	12.30
Size (SMB)	0.68	3.40
Value (HML)	−0.42	−2.10

Portfolio Management - 1 - Free MCQ Practice Test with solutions, CFA Level

MCQ Practice Test & Solutions: Practice Test: Portfolio Management - 1 (30 Questions)

A portfolio analyst is discussing the theoretical underpinnings of the Arbitrage Pricing Theory (APT) with a junior colleague. Which of the following statements most accurately describes the APT?

A fixed-income portfolio manager generates an annualized active return of 1.30% relative to the benchmark. The annualized tracking error of the portfolio is 2.60%. The information ratio of the portfolio is closest to:

A portfolio strategist is evaluating the Black-Litterman (BL) model for mean-variance optimization. Which of the following statements best describes the Black-Litterman model?

A trading desk compliance officer is reviewing benchmark selection criteria for evaluating order execution quality. Which of the following statements regarding the VWAP benchmark is most accurate?

A fixed-income portfolio manager is constructing a classically immunized portfolio to meet a single liability due in seven years. Which of the following is not a necessary condition for classical single-period immunization?

An analyst is computing the economic value added (EVA) for a manufacturing company. The following data are available:Net operating profit after tax (NOPAT): $80 millionInvested capital: $600 millionWeighted average cost of capital (WACC): 8%The EVA for the company is closest to:

A quantitative strategist explains the role of the investor confidence parameter in the Black-Litterman model to an investment committee. Which of the following statements regarding the effect of confidence on posterior expected returns is most accurate?

A compliance officer is reviewing the trading cost measurement framework used by a portfolio management team. Which of the following statements regarding implementation shortfall is most accurate?

A chief investment officer is designing a risk budgeting framework to allocate active risk across multiple portfolio managers. In this framework, the optimal allocation of active risk is achieved when:

A global portfolio manager holds a significant position denominated in Korean Won (KRW). Due to limited liquidity in the KRW forward market, the manager considers using Japanese Yen (JPY) forward contracts as a proxy hedge. Which statement most accurately describes a key risk of this approach?

A pension consultant is comparing cash flow matching (dedicated portfolio) strategies with classical duration-matching immunization for a defined benefit plan. Which of the following most accurately distinguishes cash flow matching from duration immunization?

A risk manager is explaining the BARRA multifactor model to a new analyst. Which of the following statements most accurately describes the BARRA model?

A quantitative analyst is explaining how the Black-Litterman model derives its starting point for expected returns. Which of the following most accurately describes how equilibrium expected returns are determined in the Black-Litterman framework?

A risk analyst calculates the marginal contribution to risk (MCTR) for Asset Y in a portfolio. The following data are provided:Portfolio standard deviation: 15%Covariance of Asset Y with the portfolio: 0.030The marginal contribution to risk (MCTR) for Asset Y is closest to:

An active equity manager applies the Fundamental Law of Active Management. The manager has an information coefficient (IC) of 0.08 and makes 100 independent investment decisions per year. The expected information ratio is closest to:

An investment consultant is presenting the liability-driven investing (LDI) framework to a corporate pension fund board. Which of the following statements regarding surplus risk in the LDI framework is most accurate?

A risk officer is evaluating the use of a multifactor risk model within a risk budgeting framework. Which of the following statements about factor model-based risk budgeting is most accurate?

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An analyst is computing the economic value added (EVA) for a manufacturing company. The following data are available:
Net operating profit after tax (NOPAT): $80 million
Invested capital: $600 million
Weighted average cost of capital (WACC): 8%
The EVA for the company is closest to:

A risk analyst calculates the marginal contribution to risk (MCTR) for Asset Y in a portfolio. The following data are provided:
Portfolio standard deviation: 15%
Covariance of Asset Y with the portfolio: 0.030
The marginal contribution to risk (MCTR) for Asset Y is closest to: