Question

over the past six years, a stock and annual returns of 14%, -3%, 8%, 21%, -16%,...

over the past six years, a stock and annual returns of 14%, -3%, 8%, 21%, -16%, and 4%. what is the Standard Deviation of these returns?

13.05
11.27
15.08
14.40
13.59

Homework Answers

Answer #1

Answer,

FORMULA

μ=Mean

σ=Standard deviation

N=Total number of population

xi=Each value of the population


Calculation of standard deviation

YEAR Annual returns(xi) Xi-μ (Xi-μ)^2

1

14 9.33 87.11
2 -3 -7.67 58.78
3 8 3.33 11.11
4 21 16.33 266.78
5 -16 -20.67 427.11
6 4 -0.67 0.44
TOTAL 28 851.33

μ=28/6=4.67

Standard deviation=root of 851.33/6

the root of 141.89

=11.912

This is the method to find out the standard deviation but the option given is not matching. During the test, it is better to select a nearby amount so we can select 11.27 even though it is not precise answer to the question.

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