A stock had returns of 6 percent, -22 percent, 18percent, 12 percent, and -2 percent over...
A stock had returns of 6 percent, -22 percent, 18percent, 12 percent, and -2 percent over the past five years. What is the standard deviation of these returns?
Homework Answers
Average return=Total return/Total time period
=(6-22+18+12-2)/5=2.4%
| Return | (Return-Average Return)^2 |
| 6 | (6-2.4)^2=12.96 |
| -22 | (-22-2.4)^2=595.36 |
| 18 | (18-2.4)^2=243.36 |
| 12 | (12-2.4)^2=92.16 |
| -2 | (-2-2.4)^2=19.36 |
| Total=963.2% |
Standard deviation=[Total (Return-Average Return)^2/(Time period-1)]^(1/2)
=[963.2/(5-1)]^(1/2)
=[963.2/4]^(1/2)
=15.52%(Approx).
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