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Free CFA Specialized Pathway - Portfolio Management Practice Questions & Answers
253 exam-style Specialized Pathway - Portfolio Management questions. Pick your answer, hit Check answer, and see the worked solution — free to start, no signup.
100% free · No login to startQuestion 1
The Fama-French five-factor model (2015) identifies which of the following as one of the five risk factors explaining variation in equity returns?
Select an option first.
Correct answer: B — Operating profitability measured as operating income divided by beginning shareholders equity
Explanation: B is correct. The Fama-French five-factor model includes: (1) market risk premium, (2) firm size, (3) book-to-market ratio, (4) operating profitability (operating income / beginning shareholders equity), and (5) investment intensity (growth rate of total assets). Momentum (A) is NOT one of the five Fama-French factors, though it is a common factor in other models. Earnings growth (C) and dividend yield (D) are not Fama-French factors.
Question 2
A minimum-variance investing strategy that selects portfolios minimizing portfolio variance subject to constraints is BEST classified as which type of factor-based strategy?
Select an option first.
Correct answer: C — Risk-oriented
Explanation: C is correct. Risk-oriented strategies aim to reduce portfolio risk. Minimum-variance investing (using the Markowitz framework to minimize variance subject to constraints) is explicitly classified as a risk-oriented strategy in the reading. Volatility weighting (inverse-volatility weights) is the other main risk-oriented strategy. Return-oriented (A) strategies like momentum or dividend yield aim to capture return premiums. Diversification-oriented (B) includes equal-weighting and maximum diversification. Fundamentally-weighted (D) is a return-oriented sub-type.
Question 3
An equally weighted portfolio strategy is BEST classified as:
Select an option first.
Correct answer: C — Diversification-oriented, because it spreads capital evenly to maximize diversification
Explanation: C is correct. The reading explicitly classifies equally weighted portfolios as diversification-oriented strategies. The goal is to maximize diversification by spreading capital across all securities equally, avoiding the concentration in the largest stocks inherent in market-cap weighting. A is a secondary observation (small-cap tilt) but not the classification. B is wrong — equal weighting does not minimize variance. D is factually incorrect about momentum.
Question 4
A maximum diversification strategy achieves diversification by maximizing:
Select an option first.
Correct answer: B — The ratio of the weighted average volatility of individual stocks to the portfolio volatility
Explanation: B is correct. The reading defines maximum diversification strategies as 'achieved by maximizing the ratio of the weighted average volatility of the individual stocks to the portfolio volatility.' This ratio captures how much diversification benefit is being achieved — the higher the ratio, the more the portfolio is benefiting from diversification. A (number of securities) is a simplistic but incorrect answer. C (Sharpe ratio) is an optimization criterion, not the definition of this strategy. D describes equal factor weighting, not this strategy.
Question 5
Which statement BEST explains why factor-based strategies can reduce the opportunity for excess returns over time?
Select an option first.
Correct answer: B — Decisions on factor selection and weighting are transparent and replicable, allowing other investors to mimic the strategy
Explanation: B is correct. The reading states: 'Decisions regarding factor selection, weighting, and rebalancing tend to be transparent, allowing other investors to mimic the strategy. This can reduce or eliminate the opportunity for higher returns. The buy-sell actions of investors may move prices and reduce or eliminate the opportunity for increased factor returns.' Transparency is the core reason — when everyone can copy the strategy, the factor premium gets arbitraged away. A, C, and D are not explanations offered in the reading.
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Question 6
Relative to large-cap market-cap-weighted index strategies, factor-based index strategies MOST LIKELY have:
Select an option first.
Correct answer: B — Higher management fees and higher trading commissions
Explanation: B is correct. The reading states: 'A disadvantage is that, relative to market-cap weighted strategies, management fees and trading commissions are typically higher.' Factor-based strategies require more frequent rebalancing (e.g., to maintain factor tilts) and more active portfolio management than a simple market-cap-weighted index, which drives up both management fees and trading costs. A directly contradicts the reading. C and D are not supported.
Question 7
A volatility-weighting strategy assigns portfolio weights that are inversely proportional to price volatility. This strategy is BEST described as:
Select an option first.
Correct answer: B — Risk-oriented because it reduces the weight of higher-volatility (higher-risk) securities
Explanation: B is correct. The reading classifies volatility weighting as a risk-oriented strategy. By assigning higher weights to lower-volatility stocks and lower weights to higher-volatility stocks, the strategy explicitly aims to reduce portfolio risk. The advantages noted are that risk-oriented strategies 'are simple and provide risk reduction.' The disadvantage is they 'are based on past return data and may not reflect future conditions.' A, C, and D are not how the reading classifies this strategy.
Question 8
A momentum-based index that overweights stocks with recent price outperformance is BEST classified as which type of factor-based strategy?
Select an option first.
Correct answer: C — Return-oriented
Explanation: C is correct. Return-oriented strategies include momentum-based, dividend yield, and fundamental-weighted strategies. The reading lists momentum-based indexes as return-oriented because they 'typically overweight stocks that have outperformed a benchmark index over the most recent period of a specified length.' The rationale is to capture the momentum return premium. A and B are incorrect classifications. D (fundamental-weighted) is a separate sub-category within return-oriented strategies.
Question 9
The primary ADVANTAGE of factor-based investing over traditional active management is:
Select an option first.
Correct answer: B — Factor-based investing is typically less costly while still allowing different factor exposures based on views on future factor returns
Explanation: B is correct. The reading states: 'The advantage of factor-based investing is that it is typically less costly than active management but still allows for different factor exposures based on the investor's view of future factor returns.' This is the key value proposition — factor-based investing provides the ability to tilt exposures like an active manager but at lower cost. A is too strong — factor-based strategies do not always outperform. C is wrong — factor tilts create tracking error. D is wrong — factor strategies require rebalancing.
Question 10
When a portfolio manager uses both a factor-based index benchmark AND a market-cap-weighted benchmark to evaluate performance, what is the MOST LIKELY consequence?
Select an option first.
Correct answer: B — Tracking error increases because performance is measured against multiple standards
Explanation: B is correct. The reading explicitly states: 'Portfolio managers who employ factor-based strategies often use multiple benchmarks, including both factor-based and market-cap-weighted indexes, which can increase tracking error.' Using multiple benchmarks means the portfolio return may deviate from one benchmark even when it closely tracks another, resulting in measured tracking error relative to at least one benchmark. A, C, and D are incorrect — multiple benchmarks complicate, not simplify, performance evaluation.
Question 11
Which of the following is a PRIMARY advantage of ETFs over open-end mutual funds for index-based equity investing?
Select an option first.
Correct answer: B — ETFs do not have to sell stocks in response to shareholder redemptions, reducing taxable gains
Explanation: B is correct. The reading states ETFs 'do not have to sell stocks in response to shareholder redemption requests. This eliminates taxable gains from portfolio stock sales that shareholders are exposed to with open-end mutual funds.' ETFs use in-kind redemptions (delivering a basket of stocks rather than cash), which avoids triggering taxable events. A is incorrect — some ETF secondary markets may be illiquid. C is incorrect — ETFs do have management fees. D is incorrect — some ETF markets can be illiquid.
Question 12
A COMPLETION OVERLAY using equity index derivatives is designed to:
Select an option first.
Correct answer: B — Adjust the portfolio back to the risk exposure of the index by matching the portfolio beta to the index beta
Explanation: B is correct. The reading defines a completion overlay as one that 'can move the portfolio back to the risk exposure of the index, for example, by adjusting the portfolio's beta to match the index beta.' Completion overlays are used when the active holdings have deviated from the intended index exposure and the manager wants to restore index-like characteristics efficiently. A (leverage) is not the purpose of a completion overlay. C (replacing all equity) is not what overlays do. D (currency conversion) describes a currency overlay.
Question 13
Which of the following is a DISADVANTAGE of using equity index derivatives versus cash-based strategies?
Select an option first.
Correct answer: C — OTC derivatives introduce counterparty risk
Explanation: C is correct. The reading explicitly lists 'OTC derivatives introduce counterparty risk' as a disadvantage of derivatives-based strategies. Other disadvantages include: finite expirations (must roll over), position limits, specialty needs not met by exchange-traded contracts, and basis risk increasing tracking error. A is wrong — derivatives typically trade in highly liquid markets. B is wrong — derivatives are specifically valued for quickly adjusting factor exposures. D is wrong — derivatives make leveraging easy.
Question 14
A REBALANCING OVERLAY using equity index derivatives is MOST useful for:
Select an option first.
Correct answer: B — Efficiently and cheaply matching the reconstitution of the index as securities are added and dropped
Explanation: B is correct. The reading defines rebalancing overlays as those that 'can efficiently and cheaply match the reconstitution of the index as securities are added and dropped.' When an index reconstitutes (adds/removes stocks), instead of buying and selling physical shares immediately, the manager can use derivatives to temporarily maintain the desired exposure while gradually adjusting the physical portfolio. A describes active management. C describes options income strategies. D describes fixed-income duration management.
Question 15
A separately managed equity index-based portfolio REQUIRES all of the following EXCEPT:
Select an option first.
Correct answer: D — Unlimited capital to purchase all securities including illiquid micro-cap stocks
Explanation: D is correct. The reading lists requirements for separately managed index-based portfolios: 'regularly updated data on the index; sophisticated trading and accounting systems; well-established broker relationships to facilitate program trading and lower trading commissions; and compliance systems to ensure compliance with laws, regulations, and internal company policies.' Unlimited capital (D) is not listed — in fact, stratified sampling exists precisely because full replication may not be feasible for all portfolios.
Question 16
Which portfolio construction approach for an index fund BEST accounts for the covariances of constituent stock returns in minimizing tracking error?
Select an option first.
Correct answer: C — Optimization
Explanation: C is correct. The reading states that an advantage of optimization is that it 'explicitly accounts for the covariances of constituent stock returns, rather than relying on a characteristic, such as industry sector, in constructing the portfolio.' Stratified sampling groups stocks by observable characteristics but does not directly incorporate the covariance matrix. Full replication holds all stocks so tracking error is minimized regardless of covariances. Equal weighting ignores covariances entirely.
Question 17
For a large index like the Wilshire 5000 containing stocks ranging from large liquid to small thinly-traded, the MOST appropriate index construction approach is:
Select an option first.
Correct answer: D — Full replication for large liquid stocks combined with stratified sampling or optimization for thinly traded stocks
Explanation: D is correct. The reading states: 'For indexes with a large number of stocks—ranging from large and liquid to small and thinly traded, such as the Wilshire 5000—the manager may use a blended approach, with full replication for large liquid index stocks and stratified sampling or optimization for index stocks that are thinly traded.' This blended approach captures the accuracy benefits of full replication for liquid stocks while avoiding the high costs of replicating thinly traded small-cap stocks.
Question 18
A drawback of using OPTIMIZATION to construct an index portfolio is that:
Select an option first.
Correct answer: B — Optimization is based on historical relationships that may not reflect future conditions, and maintaining optimal weights as relationships change can be costly
Explanation: B is correct. The reading states: 'A drawback of optimization is that it is based on historical relationships, which will change over time. Maintaining the optimal weights as these relationships change can be costly.' Additionally, 'minimization of tracking error can result in portfolios that are not mean-variance efficient.' A is wrong — optimization can minimize tracking error. C is wrong — optimization selects a subset, not all securities. D is not stated in the reading.
Question 19
In stratified sampling, the strata of constituent stocks must satisfy which two requirements?
Select an option first.
Correct answer: B — They must be mutually exclusive and exhaustive
Explanation: B is correct. The reading explicitly states: 'The strata of the constituent stocks must be mutually exclusive and exhaustive.' Mutually exclusive means each stock belongs to only one stratum. Exhaustive means every stock in the index is assigned to a stratum. A is wrong — strata need not be value-weighted. C is wrong — strata can be formed across many dimensions (capitalization, dividend yield, momentum, sector, country, etc.). D is wrong — strata need not have equal numbers of stocks.
Question 20
Full replication of an index is MOST appropriate when:
Select an option first.
Correct answer: B — The index contains a small number of similar liquid stocks
Explanation: B is correct. The reading states: 'Full replication is preferred for indexes with small numbers of similar liquid stocks.' When there are few liquid stocks, the cost of buying all of them is manageable, and holding all stocks minimizes tracking error. A describes the scenario where stratified sampling or optimization is preferable — thinly traded stocks make full replication prohibitively expensive. C ignores the practical concern of transaction costs. D would actually argue against full replication because frequent reconstitution creates high turnover.
Question 21
Tracking error is BEST defined as:
Select an option first.
Correct answer: B — The standard deviation of the differences between index portfolio returns and published index returns over time
Explanation: B is correct. The reading defines tracking error as 'the standard deviation of the differences between index portfolio returns and published index returns.' Tracking error is a measure of consistency of tracking over time, not just the single-period deviation. A describes the single-period active return, not tracking error. C is cumulative underperformance, not the definition. D is a fee metric. Tracking error is preferable to excess return as a skill measure because it captures consistency, not just a single outcome.
Question 22
CASH DRAG causes tracking error in an index fund primarily because:
Select an option first.
Correct answer: B — Cash balances reduce portfolio returns in rising markets and increase returns in falling markets, creating systematic differences from index returns
Explanation: B is correct. The reading states: 'Cash drag—portfolios may hold cash balances that reduce returns in rising markets and increase returns in falling markets, as cash returns differ from index returns.' Because indexes represent theoretically fully invested performance with no cash, any cash holding creates a drag in rising markets and a boost in falling markets, systematically deviating from the index. Index futures can be used to reduce cash drag by providing equity market exposure on idle cash.
Question 23
Which of the following would MOST LIKELY reduce tracking error in an index-based equity portfolio?
Select an option first.
Correct answer: C — Lending portfolio securities to generate fee income that offsets management costs
Explanation: C is correct. The reading explains that securities lending 'can generate fee income to offset some of the costs of managing the portfolio and reduce tracking error.' By generating income that offsets management fees, the net cost drag on the portfolio decreases, allowing the portfolio return to more closely match the index return. A increases cash drag, worsening tracking error. B reduces the number of securities, increasing sampling risk. D increases intraday trading costs and introduces tracking error from intraday price differences.
Question 24
Why is tracking error a BETTER measure of index fund manager skill than excess return alone?
Select an option first.
Correct answer: B — The goal of index management is to consistently match index performance; low tracking error indicates consistent closeness to the index regardless of market direction
Explanation: B is correct. The reading states: 'The goal is to consistently match the index performance and zero (or low) tracking error indicates a perfect (or close) match.' A manager could have positive excess return in one period purely by chance (e.g., from cash drag in a falling market) but still be doing a poor job of tracking. Tracking error measures consistency over time. A is wrong — tracking error can be any positive value, and being positive is not what makes it useful. C is wrong — excess return is relative. D is not mentioned in the reading.
Question 25
An index fund manager uses index futures to reduce cash drag. This technique works because:
Select an option first.
Correct answer: B — Futures positions can provide equity market exposure on idle cash without fully deploying the cash into physical equities
Explanation: B is correct. Index futures provide economic exposure to the equity index with only a small margin requirement, leaving the bulk of the cash available for other purposes. By holding futures equal to the cash's notional equity exposure, the portfolio effectively has full equity exposure without selling the cash. This reduces cash drag. A is wrong — futures provide the index return, not index + risk-free rate (the risk-free is embedded in the futures pricing). C is wrong — futures have transaction costs. D is wrong — futures expire and must be rolled.
Question 26
Attribution analysis for an index fund manager is MOST valuable because it helps to:
Select an option first.
Correct answer: B — Identify the sources of tracking error so the manager can reduce them
Explanation: B is correct. The reading states: 'Attribution analysis can be used to help the manager identify the sources of tracking error and hopefully reduce them.' For an index manager, the goal is not to generate alpha or determine optimal tilts — it is to replicate the index. Attribution helps identify which holdings, sectors, or decisions are causing the portfolio to deviate from the index. A and D describe active management tools. C is a business decision unrelated to attribution.
Question 27
An investor uses proxy voting services when managing a large index fund primarily because:
Select an option first.
Correct answer: B — Proxy voting is costly and time-consuming for an index manager covering many companies, and services can handle the research efficiently
Explanation: B is correct. The reading states: 'Voting proxies effectively can be a costly undertaking for an index fund manager who must research a myriad of corporate issues across a broad portfolio of companies. Because of that, many index fund managers use proxy-voting services.' Index managers may hold hundreds or thousands of stocks, making independent proxy research for each company prohibitively expensive. A is wrong — it is a fiduciary duty, not a legal mandate to use services. C is wrong — proxy services are a cost. D is wrong — services cannot guarantee outcomes.
Question 28
Which of the following pairs represents a CAUSE of tracking error and a METHOD to CONTROL it?
Select an option first.
Correct answer: C — Cash drag (cause) and using index futures to provide equity exposure on idle cash (control)
Explanation: C is correct. Cash drag causes tracking error by creating returns that differ from the index (which is theoretically fully invested). Using index futures to provide equity market exposure on idle cash balances reduces this drag, thereby controlling tracking error. A is wrong — speculative securities would increase, not control, tracking error. B is wrong — increasing cash worsens cash drag. D is partially right (stratified sampling causes tracking error) but full replication for all stocks is often impractical and has its own costs.
Question 29
As an index portfolio manager increases the number of stocks held (expanding toward full replication), tracking error MOST LIKELY:
Select an option first.
Correct answer: C — First decreases as liquid stocks are added, then eventually increases as illiquid stocks add cost-related tracking error
Explanation: C is correct. The reading states: 'Initially, tracking error declines as the size of the sample is increased. The manager will naturally first purchase the largest, most liquid, lowest cost stocks. But as more stocks are added and the portfolio approaches full replication, the added stocks will be less liquid, increasing the effect of transaction costs on tracking error.' This creates a U-shaped relationship with tracking error declining at first (as large liquid stocks are added) and then rising (as expensive illiquid stocks are included).
Question 30
The Fama-French FIVE-FACTOR model adds which TWO factors to the original three-factor (market, size, value) model?
Select an option first.
Correct answer: B — Operating profitability and investment intensity (growth rate of total assets)
Explanation: B is correct. The Fama-French five-factor model (2015) adds operating profitability (operating income / beginning shareholders equity) and investment intensity (growth rate of total assets) to the original three-factor model's market risk premium, firm size, and book-to-market ratio. The five factors explain the cross-sectional variation in equity returns better than the three-factor model.
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