Question

In: Finance

A stock had returns of 18.66 percent, 22.09 percent, −15.35 percent, 9.17 percent, and 28.24 percent...

A stock had returns of 18.66 percent, 22.09 percent, −15.35 percent, 9.17 percent, and 28.24 percent for the past five years. What is the standard deviation of the returns?

Solutions

Expert Solution

Standard deviation is 17.06%

Step-1:Calculation of average return
Year Return
1 18.66%
2 22.09%
3 -15.35%
4 9.17%
5 28.24%
Total 62.81%
Average return 62.81% / 5 = 0.12562
Step-2:Calculation of variance
Year Return Average return
a b c=(a-b)^2
1 18.66% 12.56% 0.003719
2 22.09% 12.56% 0.009078
3 -15.35% 12.56% 0.077908
4 9.17% 12.56% 0.001151
5 28.24% 12.56% 0.02458
Total 0.116435
Variance = 0.116435 / 4 =    0.02911
Step-3:Calculation of standard deviation
Standard deviation = Variance ^ (1/2)
=    0.02911 ^ (1/2)
= 17.06%

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