Some comments:
- The mean (average) return is 5.5 percent.
- The median return is 6.6 percent. So half the stocks in the index returned less than this and half returned more (roughly).
- Skewness is 0.18, meaning the returns are skewed to the right.
- Kurtosis is -0.02, meaning the graph is flattish, not peaked (relative to a certain standard distribution).
- 35 percent of the stocks in the index earned a positive return.
- The 10th percentile return is -31 percent -- for these stocks, 2018 was a very bad year.
- The 90th percentile return is +18 percent -- in other words, despite a pretty bad year for the market, a reasonable number of stocks did quite well.
The following figure takes the above returns and converts them to their continuously compounded equivalents:
The continuously compounded return is related to the annual return by the following relation:
\[
CtsCompReturn=ln(1 + AnnualReturn)
\]
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