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 averag

Question

3 years ago

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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 averag

e annual return? b. What is the variance of the stock's returns? c. What is the standard deviation of the stock's returns?

Business

1 answer:

jeyben [28] · Answer 1 · 2021-12-19T02:04:17+03:00

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%

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 averag

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 averag