Find the standard deviation for a security that has three one-year returns of -5%, 15%, and 20%.
|
5.00% |
||
|
11.41% |
||
|
13.23% |
||
|
6.25% |
Average return=Total return/Total time period
=(-5+15+20)/3=10%
| Return | (Return-Average return)^2 |
| -5 | (-5-10)^2=225 |
| 15 | (15-10)^2=25 |
| 20 | (20-10)^2=100 |
| Total=350% |
Standard deviation=[Total (Return-Average return)^2/(Time period-1)]^(1/2)
=[350/(3-1)]^(1/2)
=[350/2]^(1/2)
=13.23%(Approx).
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