Calculate the variance of an investment with five year returns of 10%, (15%), 12%, 8% and...
Calculate the variance of an investment with five year returns of 10%, (15%), 12%, 8% and (5%).
Homework Answers
Average return=Total return/Total time period
=(10-15+12+8-5)/5=2%
| Return | (Return-Average return)^2 |
| 10 | (10-2)^2=64 |
| -15 | (-15-2)^2=289 |
| 12 | (12-2)^2=100 |
| 8 | (8-2)^2=36 |
| -5 | (-5-2)^2=49 |
| Total=538% |
Standard deviation=[Total (Return-Average return)^2/(Time period-1)]^(1/2)
=[538/(5-1)]^(1/2)
=[538/4]^(1/2)
=11.60%(Approx).
Variance=Standard deviation^2
=134.5%
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