You’ve observed the following returns on Crash-n-Burn Computer’s stock over the past five years: 6 percent, –9 percent, 28 percent, 17 percent, and 14 percent. |
What was the arithmetic average return on the company's stock over this five-year period? |
What was the variance of the company's returns over this period? |
What was the standard deviation of the company’s returns over this period? |
Arithmetic Return on the company's stock over this 5 year period
=(6%-9%+28%+17%+14%)/5 =11.20%
Variance of the company's returns over this period
=(6%-11.20%)^2+(-9%-11.20%)^2+(28%11.20%)^2+(17%11.20%)^2+(14%-11.20%)^2/(5-1)
=1.897%
Standard Deviation =Variance^0.5 =1.897%^0.5 =13.77%
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