What are common mistakes on Portfolio Performance Measures questions?
Watch out for these exam traps that candidates frequently miss on Portfolio Performance Measures questions:
Confusing Sharpe (total risk) vs Treynor (systematic risk) ratios
Forgetting alpha can be negative even with positive returns
Not understanding R-squared as measure of diversification
What do Series 65 Portfolio Performance Measures questions look like?
Which performance measure uses total risk in its calculation and is most appropriate for evaluating an undiversified portfolio?
B is correct. The Sharpe ratio uses total risk (standard deviation) in its calculation: (Return - Risk-free rate) ÷ Standard deviation. Because it considers total risk rather than just systematic risk, it is most appropriate for evaluating undiversified portfolios that still contain unsystematic risk.
A (Treynor ratio) uses systematic risk (beta) rather than total risk, making it better for diversified portfolios. C (Information ratio) measures active return per unit of tracking error and is used for active managers. D (Jensen's alpha) measures excess return versus CAPM predictions but is not a ratio comparing return to risk.
This concept appears frequently on the Series 65 exam and is critical for understanding when to use different performance measures. The key distinction between Sharpe (total risk) and Treynor (systematic risk) is one of the most commonly tested performance measure concepts. Remember: Sharpe is for undiversified portfolios because standard deviation captures both systematic and unsystematic risk. A rule of thumb: Sharpe ratios above 1.0 are generally considered good.
A portfolio earned a 12% return with a beta of 1.2. If the risk-free rate was 3% and the market returned 10%, what is the portfolio alpha?
A is correct. Alpha measures actual return minus expected return based on CAPM. First, calculate expected return using CAPM: 3% + 1.2(10% - 3%) = 3% + 8.4% = 11.4%. Then calculate alpha: 12% - 11.4% = 0.6%. The positive alpha indicates the portfolio outperformed expectations by 0.6%.
B (2.0%) incorrectly subtracts the risk-free rate from the actual return (12% - 10%). C (3.6%) appears to calculate excess return over the market (12% - 10% = 2%, then incorrectly adding something). D (9.0%) incorrectly subtracts the risk-free rate from the actual return (12% - 3%).
Alpha calculations appear regularly on the Series 65 exam. Understanding that alpha can be positive (outperformance), negative (underperformance), or zero (performance in line with expectations) is crucial. Many candidates forget that a portfolio can have positive returns but negative alpha if it underperformed relative to its risk level. Alpha is considered a measure of manager skill, isolating performance beyond what would be expected given the portfolio's systematic risk.
An investment adviser is comparing two portfolios for a well-diversified client. Portfolio X has a Sharpe ratio of 0.85 and Portfolio Y has a Treynor ratio of 8.5. Which statement is most accurate?
D is correct. Sharpe and Treynor ratios cannot be directly compared because they use different risk measures in their denominators. The Sharpe ratio uses standard deviation (total risk), while the Treynor ratio uses beta (systematic risk). They measure different aspects of risk-adjusted performance and are expressed in different units.
A, B, and C all incorrectly assume the ratios can be compared. The only way to meaningfully compare these portfolios would be to calculate both ratios for both portfolios, then compare Sharpe to Sharpe and Treynor to Treynor separately. For a well-diversified portfolio, the Treynor ratio would be the more appropriate measure since unsystematic risk has been diversified away.
This is a common exam trap. The Series 65 tests whether you understand that different performance measures serve different purposes and cannot be mixed. When comparing portfolios, use the same measure for both. For the exam, remember: if the portfolio is well-diversified, Treynor is preferred (uses beta). If the portfolio is concentrated or undiversified, Sharpe is preferred (uses standard deviation). Higher values are better for both ratios.
A mutual fund has an R-squared of 0.45 when compared to the S&P 500. What does this indicate?
A is correct. R-squared (coefficient of determination) measures the percentage of a portfolio's returns that can be explained by movements in the benchmark. An R-squared of 0.45 means only 45% of the fund's returns are explained by the S&P 500, indicating the fund is not well-diversified relative to that benchmark and likely follows a different strategy or holds different securities.
B (45% systematic risk) misunderstands R-squared as a risk measure rather than a correlation measure. C (fund beta is 0.45) confuses R-squared with beta, which are different measures. D (outperformed by 45%) incorrectly interprets R-squared as a return measure rather than a diversification measure.
R-squared is frequently tested on the Series 65, especially regarding its role in determining the reliability of beta. When R-squared is below 0.70, beta may be unreliable as a risk measure. This makes R-squared critical for deciding whether to use beta-based measures like the Treynor ratio. High R-squared (close to 1.0) indicates the portfolio closely tracks the benchmark, while low R-squared suggests active management or different holdings.
A portfolio manager is evaluating two funds. Fund A has a return of 14% and standard deviation of 18%. Fund B has a return of 11% and standard deviation of 10%. The risk-free rate is 2%. Which fund has the higher Sharpe ratio?
C is correct. The Sharpe ratio is calculated as (Return - Risk-free rate) ÷ Standard deviation. Fund A: (14% - 2%) ÷ 18% = 0.67. Fund B: (11% - 2%) ÷ 10% = 0.90. Fund B has the higher Sharpe ratio despite having lower absolute returns, because it achieved better risk-adjusted performance by taking on less total risk.
A (Fund A) correctly calculates Fund A's Sharpe ratio but incorrectly concludes it is higher. B (same Sharpe ratio) is mathematically incorrect. D (cannot be determined without beta) confuses the Sharpe ratio with the Treynor ratio, which uses beta rather than standard deviation.
This type of calculation question appears regularly on the Series 65. The exam tests whether you understand that higher returns do not necessarily mean better performance when risk is considered. The Sharpe ratio penalizes portfolios that take excessive risk. A key exam strategy: when comparing Sharpe ratios, remember that a higher ratio is better, and ratios above 1.0 are generally considered strong. This question reinforces that risk-adjusted returns matter more than absolute returns.
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Get More Free Practice →Which of the following statements about beta is most accurate?
D is correct. Beta measures systematic risk relative to the market. A beta of 1.5 indicates the security is expected to move 1.5 times as much as the market, or 50% more than the market's movements. If the market rises 10%, the security would be expected to rise 15%.
A (reliable when R-squared below 0.50) is backwards. Beta is most reliable when R-squared is high (above 0.70). B (total risk) is incorrect because beta only measures systematic risk, not total risk (which is measured by standard deviation). C (negative beta impossible) is wrong because some securities can have negative beta (moving opposite to the market), though this is rare for equity securities.
Beta is one of the most important and frequently tested concepts on the Series 65. Understanding how to interpret beta values is crucial: beta = 1 means moves with market, beta > 1 means more volatile than market, beta < 1 means less volatile than market, and beta = 0 means no correlation with market. The exam often tests beta in conjunction with R-squared, since low R-squared makes beta unreliable. Beta is used in CAPM, Treynor ratio, and alpha calculations.
An actively managed equity fund generated a 16% return while its benchmark index returned 14%. The standard deviation of the excess returns was 4%. What is the information ratio?
D is correct. The information ratio measures active return per unit of active risk (tracking error). It is calculated as (Portfolio return - Benchmark return) ÷ Tracking error. In this case: (16% - 14%) ÷ 4% = 2% ÷ 4% = 0.50. This indicates the manager generated 0.50 units of excess return for each unit of tracking error.
A (4.00) uses only the tracking error without performing the division, confusing the input with the output. B (3.50) appears to subtract tracking error from the excess return before dividing. C (0.25) incorrectly inverts the calculation (4% ÷ 16%).
The information ratio is tested on the Series 65 as a measure specific to active management. It differs from Sharpe and Treynor by focusing specifically on active returns (returns above the benchmark) rather than total returns. Higher information ratios indicate more efficient active management. This measure is particularly relevant when evaluating whether an active manager's tracking error (deviations from the benchmark) is justified by excess returns. Understanding all three risk-adjusted measures (Sharpe, Treynor, Information) and when each applies is critical for exam success.
A portfolio had a return of 9% with a beta of 0.80. The risk-free rate is 3% and the market returned 12%. What is Jensen's alpha for this portfolio?
A is correct. Jensen's alpha measures actual return minus expected return based on CAPM. Expected return = Risk-free rate + Beta × (Market return - Risk-free rate) = 3% + 0.80 × (12% - 3%) = 3% + 7.2% = 10.2%. Alpha = Actual return - Expected return = 9% - 10.2% = -1.2%. The negative alpha indicates underperformance relative to expectations given the portfolio's beta.
B (0.0%) would suggest performance exactly matched expectations. C (+1.2%) has the correct magnitude but wrong sign. D (+6.0%) incorrectly calculates excess return over risk-free rate (9% - 3%) rather than using CAPM.
This question reinforces a critical Series 65 concept: alpha can be negative even when returns are positive. Many candidates incorrectly assume positive returns always mean good performance. Jensen's alpha isolates manager skill by asking whether returns exceeded what would be expected given the portfolio's systematic risk (beta). This question also demonstrates that lower-beta portfolios should be expected to earn lower returns in rising markets, and the manager is penalized (negative alpha) for failing to meet even those reduced expectations.
Which return calculation method eliminates the impact of cash flows and is most appropriate for comparing the performance of different portfolio managers?
C is correct. Time-weighted return (TWR) eliminates the impact of cash flows (deposits and withdrawals) by breaking the performance period into sub-periods and geometrically linking the returns. This makes it the preferred method for comparing portfolio managers, as it isolates the manager's investment decisions from the client's timing of deposits and withdrawals.
A (Dollar-weighted return) and B (Internal rate of return) are the same thing and both include the impact of cash flows, measuring the investor's actual experience rather than manager performance. D (Holding period return) is a simple return calculation for a single period that does not eliminate cash flow impact.
The distinction between time-weighted and dollar-weighted returns appears frequently on the Series 65 exam. Remember this key rule: TWR answers "How did the manager perform?" while dollar-weighted/IRR answers "How did the investor do?" Time-weighted is the industry standard for manager comparisons because it would be unfair to penalize or reward a manager for client decisions about when to add or withdraw money. This concept connects to performance presentation standards and ethical practices.
An investment adviser is evaluating a concentrated portfolio that holds only 8 stocks. Which performance measure would be MOST appropriate for assessing this portfolio's risk-adjusted return?
B is correct. The Sharpe ratio is most appropriate for concentrated or undiversified portfolios because it uses standard deviation, which captures total risk (both systematic and unsystematic). Since this portfolio holds only 8 stocks, it likely contains significant unsystematic risk that has not been diversified away. The Sharpe ratio will properly account for this total risk.
A (Treynor ratio) uses beta, which only measures systematic risk. This would be inappropriate for an undiversified portfolio because it would ignore the unsystematic risk still present. C (Information ratio) measures active return versus a benchmark and is not specifically designed for undiversified portfolios. D (Jensen's alpha) measures excess return but is not a ratio and does not specifically capture unsystematic risk.
This scenario-based question tests your ability to select the appropriate performance measure based on portfolio characteristics. The Series 65 frequently asks you to choose between Sharpe and Treynor ratios. The key decision point: is the portfolio well-diversified? If yes, use Treynor (beta-based). If no or uncertain, use Sharpe (standard deviation-based). A portfolio of 8 stocks is clearly not well-diversified, so Sharpe is the better choice. This concept appears in multiple exam questions and connects to diversification, risk management, and suitability.
What key terms appear in Portfolio Performance Measures questions?
Alpha
The excess return of an investment relative to the return predicted by CAPM for its level of systematic risk. Positive a...
Beta
A measure of a security's volatility relative to the overall market (systematic risk). Beta of 1.0 means the security mo...
Sharpe Ratio
A measure of risk-adjusted return calculated as (portfolio return - risk-free rate) / standard deviation. Higher ratios ...
Treynor Ratio
A measure of risk-adjusted return calculated as (portfolio return - risk-free rate) / beta. Higher ratios indicate bette...
Standard Deviation
A statistical measure of the dispersion of returns for a security or portfolio. Indicates total risk (both systematic an...
R-Squared
A statistical measure indicating the percentage of a portfolio's movements that can be explained by movements in a bench...
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