A stock had returns of 18.58 percent, −5.58 percent, 20.81 percent, and 8.89 percent for the past four years. What is the variance of the returns?
.12009
.01442
.00648
.01923
.01730
Average return=Total return/Total time period
=(18.58−5.58+20.81+8.89)/4=10.675%
Return | (Return-Average return)^2 |
18.58 | (18.58-10.675)^2=62.489025 |
−5.58 | (−5.58-10.675)^2=264.225025 |
20.81 | (20.81-10.675)^2=102.718225 |
8.89 | (8.89-10.675)^2=3.186225 |
Total=432.6185% |
Standard deviation=[Total (Return-Average return)^2/(Time period-1)]^(1/2)
=[432.6185/(4-1)]^(1/2)
=[432.6185/3]^(1/2)
=12.01%(Approx).
Variance=Standard deviation^2
=0.01442(Approx).
A stock had returns of 18.58 percent, −5.58 percent, 20.81 percent, and 8.89 percent for the...
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