The last four years of returns for a stock are as follows:
Year |
1 |
2 |
3 |
4 |
Return |
−4.0% |
28% |
12% |
4.0% |
a. What is the average annual return?
b. What is the variance of the stock's returns?
c. What is the standard deviation of the stock's returns?
a) Average return = (-4%+28%+12%+4%)/4 = 10%
b) Variance = [(-4%-10%)2 + (28%-10%)2 +
(12%-10%)2 + (4%-10%)2]/(4-1) = 1.87%
c) Standard Deviation = Variance0.5 =
(1.87%)0.5 = 13.66%
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