Question

A stock had returns of 18.62 percent, 22.02 percent, −15.26 percent, 9.14 percent, and 28.21 percent...

A stock had returns of 18.62 percent, 22.02 percent, −15.26 percent, 9.14 percent, and 28.21 percent for the past five years. What is the standard deviation of the returns?

2.89%

28.92%

13.60%

21.26%

17.01%

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Answer #1

Average return=Total return/Total time period

=(18.62+22.02-15.26+9.14+28.21)/5=12.546%

Return (Return-Average Return)^2
18.62 (18.62-12.546)^2=36.893476
22.02 (22.02-12.546)^2=89.756676
-15.26 (-15.26-12.546)^2=773.173636
9.14 (9.14-12.546)^2=11.600836
28.21 (28.21-12.546)^2=245.360896
Total=1156.78552%

Standard deviation=[Total (Return-Average Return)^2/(Time period-1)]^(1/2)

=[1156.78552/(5-1)]^(1/2)

=[1156.78552/4]^(1/2)

=17.01%(Approx).

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