
Explanation:
The sample kurtosis here refers to the (non-excess) kurtosis coefficient computed from the fourth central moment divided by the square of the second central moment. In FRM Part 1 contexts (and many exam-style questions), this is typically calculated as:
(Note: This is equivalent to using the sample standard deviation in the denominator after adjusting for the population-style moments with divisor n.)
Step-by-step calculation:
Sample standard deviation .
Sample variance .
Sum of squared deviations:
.
Given: .
Plug into the formula:
(Slight differences may appear due to rounding of the given mean and standard deviation, but it rounds to 0.93.)
This value < 3 indicates the distribution is platykurtic (thinner tails than a normal distribution).
Correct answer: A: 0.93
Ultimate access to all questions.
Allen, FRM, is evaluating the property of monthly stock return data using a sample with a sample size of 359. The summarized statistics are listed below:
| Statistics | Monthly Return |
|---|---|
| Mean | 0.866% |
| Standard Deviation | 5.287% |
| -0.0236 | |
| 0.0026 | |
| 359 |
What is the sample kurtosis?
A
0.93
B
0.98
C
1.25
D
1.32