Explanation
This question tests understanding of skewness in return distributions.
Key Concepts:
- Skewness measures the asymmetry of a distribution around its mean.
- Positive skewness (right-skewed): The distribution has a longer tail on the right side, with more extreme positive values. The mean > median > mode.
- Negative skewness (left-skewed): The distribution has a longer tail on the left side, with more extreme negative values. The mean < median < mode.
Analyzing the question:
- The description states: "distributions concentrated to the right" - This means the bulk of the data is on the right side.
- "with a higher frequency of negative deviation from the mean" - This indicates more negative outliers or extreme negative values.
Interpretation:
- When a distribution is "concentrated to the right," it means most observations are on the higher end (right side) of the distribution.
- The "higher frequency of negative deviation from the mean" means there are more extreme negative values (left tail).
- This combination describes a negatively skewed (left-skewed) distribution: most values are concentrated on the right (higher values), but there are more extreme negative outliers pulling the mean downward.
Why not the other options:
- A. Kurtosis: Measures the "tailedness" or peakedness of a distribution, not its asymmetry.
- B. Positive skewness: Would have a longer right tail with more extreme positive values, not negative deviations.
Real-world context:
Stock market returns often exhibit negative skewness because:
- Markets tend to have gradual upward movements over time
- But experience sudden, sharp declines (crashes) that create extreme negative outliers
- This results in more negative deviations from the mean than positive ones
Answer: C. negative skewness