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The last four years of returns for a stock are as​ follows: Year 1 2 3 4 Return −4.5​% 28.1​% 12.2​% 3.7​% 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?

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jepessoa

Answer:

a. What is the average annual​ return?

average annual return (mean) = (-4.5% + 28.1% + 12.2% + 3.7%) / 4 = 9.875%

b. What is the variance of the​ stock's returns?

variance = [(-4.5% - 9.875%)² + (28.1% - 9.875%)² + (12.2% - 9.875%)²) + (3.7% - 9.875%)²] / 4 = (206.64 + 332.15 + 5.41 + 38.13) / 4 = 582.33 / 4 = 145.5825

c. What is the standard deviation of the​ stock's returns?

standard deviation = √145.5825 = 12.06%

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