IFC - Investment Funds in Canada Analyzing Mutual Fund Performance Questions and Answers — Questions and Answers
Question 1: An investor is comparing two Canadian equity funds. Fund A generated a 12% return with a standard deviation of 15%. Fund B generated a 10% return with a standard deviation of 8%. Assuming a risk-free rate of 2%, which performance metric is most appropriate for determining which fund delivered a better risk-adjusted return?
- Alpha
- Beta
- Sharpe Ratio (Correct answer)
- R-squared
Correct answer: Sharpe Ratio
The Sharpe Ratio is the most appropriate metric here because it measures a fund's excess return (return above the risk-free rate) per unit of total risk (measured by standard deviation). It allows for a direct comparison of how well each fund performed relative to the amount of volatility it experienced. A higher Sharpe Ratio indicates better risk-adjusted performance.
Question 2: A fund manager for an actively managed large-cap fund claims to have exceptional stock-picking ability. If this claim is true, what would you expect the fund's alpha to be?
- Significantly positive (Correct answer)
- Close to zero
- Negative
- Equal to the fund's beta
Correct answer: Significantly positive
Alpha measures the value a fund manager adds or subtracts from a fund's return, independent of the market's movement. A significantly positive alpha indicates that the manager has generated returns in excess of what would be expected based on the fund's level of market risk (beta), suggesting superior performance from active management decisions like stock selection.
Question 3: An analyst observes that a global equity fund has an R-squared of 0.92 against its benchmark, the MSCI World Index. Which of the following is the most accurate interpretation of this figure?
- The fund has a 92% chance of outperforming the benchmark.
- The fund is 8% less volatile than the benchmark.
- 92% of the fund's returns can be attributed to the movements of the MSCI World Index. (Correct answer)
- The fund manager's active decisions contributed 92% of the fund's total return.
Correct answer: 92% of the fund's returns can be attributed to the movements of the MSCI World Index.
R-squared measures the percentage of a fund's price movements that can be explained by movements in its benchmark index. An R-squared of 0.92 means that 92% of the fund's performance is correlated with the performance of the MSCI World Index, while the remaining 8% is due to factors unique to the fund (such as the manager's stock selections).
Question 4: A mutual fund's performance report indicates that it is ranked in the 1st quartile for the past five years. What does this ranking signify?
- The fund's performance was in the bottom 25% of its peer group.
- The fund's performance was average compared to its peer group.
- The fund performed better than at least 75% of its peer group. (Correct answer)
- The fund's returns were within the top 1% of its peer group.
Correct answer: The fund performed better than at least 75% of its peer group.
Quartile rankings divide a category of funds into four equal groups based on performance. The 1st quartile represents the top 25% of performers. Therefore, a fund in the 1st quartile has outperformed at least 75% of the other funds in its category over the specified period.
Question 5: A Canadian equity fund has a beta of 1.3. If its benchmark, the S&P/TSX Composite Index, falls by 5% in a month, what is the fund's expected performance?
- A decrease of 3.85%
- A decrease of 5%
- An increase of 6.5%
- A decrease of 6.5% (Correct answer)
Correct answer: A decrease of 6.5%
Beta measures a fund's volatility relative to its benchmark. A beta of 1.3 indicates the fund is 30% more volatile than the market. To estimate the fund's movement, multiply the benchmark's movement by the fund's beta: -5% * 1.3 = -6.5%. The fund would be expected to decrease by 6.5%.
Question 6: When analyzing a mutual fund's risk, what does a higher standard deviation indicate?
- A higher likelihood of positive returns.
- The fund's returns are more volatile and less consistent. (Correct answer)
- The fund is highly correlated with its benchmark index.
- The fund manager is taking on less risk than the market.
Correct answer: The fund's returns are more volatile and less consistent.
Standard deviation is a statistical measure of the dispersion of a fund's returns around its average return. A higher standard deviation signifies greater volatility, meaning the fund's returns have historically fluctuated more widely, making them less consistent or predictable.
IFC - Investment Funds in Canada Analyzing Mutual Fund Performance Questions and Answers
An investor is comparing two Canadian equity funds.
Fund A generated a 12% return with a standard deviation of 15%.
Fund B generated a 10% return with a standard deviation of 8%.
Assuming a risk-free rate of 2%, which performance metric is most appropriate for determining which fund delivered a better risk-adjusted return?