NASAA Series 65, Uniform Investment Adviser Law ExaminationEconomic Factors and Business InformationHard
A portfolio manager is employing a quantitative strategy that relies heavily on statistical analysis of historical stock prices. The manager is concerned about the potential for 'fat tails' in the distribution of returns, which could lead to an underestimation of risk. What does the term 'fat tails' refer to in the context of financial returns?
- AA higher probability of extreme positive or negative returns.
- BA higher probability of small, consistent gains.
- CA lower probability of extreme positive or negative returns.
- DA normal distribution of returns with no outliers.
Show answer & explanationAnswer & explanation
Correct answer: A. A higher probability of extreme positive or negative returns.
In statistics, 'fat tails' (or leptokurtosis) refer to a distribution where extreme outcomes (very large positive or negative returns) occur more frequently than predicted by a normal distribution. This implies a higher probability of rare, significant events.
Why the other options are wrong
- B. Fat tails refer to extreme events, not small, consistent gains.
- C. This is the opposite; fat tails indicate a *higher* probability of extreme returns.
- D. A normal distribution has 'thin' tails; fat tails indicate a departure from normality with more outliers.
Fat Tails (Leptokurtosis)
Fat tails, or leptokurtosis, describe a statistical distribution where extreme outcomes occur more frequently than predicted by a normal distribution.
- Implies higher probability of large gains or losses.
- Increases risk for investors and makes modeling difficult.
- Commonly observed in financial market returns.
Memory trick: Fat tails mean 'F'requent 'A'nd 'T'remendous events.