A stock had returns of 17.48 percent, −4.92 percent, 20.15 percent, and 8.45 percent for the past four years. What is the variance of the returns?
Average return=Total return/Total time period
=(17.48-4.92+20.15+8.45)/4=10.29%
Return | (Return-Average return)^2 |
17.48 | (17.48-10.29)^2=51.6961 |
-4.92 | (-4.92-10.29)^2=231.3441 |
20.15 | (20.15-10.29)^2=97.2196 |
8.45 | (8.45-10.29)^2=3.3856 |
Total=383.6454% |
Standard deviation=[Total (Return-Average return)^2/(Time Period-1)]^(1/2)
=[383.6454/(4-1)]^(1/2)
=[383.6454/3]^(1/2)
=11.31%(Approx)
Variance=Standard deviation^2
=127.8818%
A stock had returns of 17.48 percent, −4.92 percent, 20.15 percent, and 8.45 percent for the...
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