A stock had returns of 17.39 percent, −11.26 percent, 22.94 percent, and 13.59 percent for the...
A stock had returns of 17.39 percent, −11.26 percent, 22.94 percent, and 13.59 percent for the past four years. What is the standard deviation of the returns? Multiple Choice 13.60% 2.28% 12.09% 15.11% 22.84%
Homework Answers
Average return=Total return/Total time period
=(17.39-11.26+22.94+13.59)/4=10.665%
| Return | (Return-Average return)^2 |
| 17.39 | (17.39-10.665)^2=45.225625 |
| -11.26 | (-11.26-10.665)^2=480.705625 |
| 22.94 | (22.94-10.665)^2=150.675625 |
| 13.59 | (13.59-10.665)^2=8.555625 |
| Total=685.1625% |
Standard deviation=[Total (Return-Average return)^2/(Time period-1)]^(1/2)
=[685.1625/(4-1)]^(1/2)
=[685.1625/3]^(1/2)
=15.11%(Approx)
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