You\'ve observed the following returns on Doyscher corporations stock over the p

Question

You've observed the following returns on Doyscher corporations stock over the past five years. -29.4 percent. 16.6 percent 36.2 percent 3.8 percent 22.8 percent Requirement 1: what was the arithmetic average return on the stock over this five-year period? (Do not round intermediate calculations. enter your answer as a percentage rounded to 2 decimal places(e.g., 32.16).) Requirement 2: what was the variance of the returns over this period? (Do not round intermediate calculations. Round your answer to 6 decimal places(e.g., 32.161616).) what was the standard deviation of the returns over this period? (Do not round intermediate calculations. enter your answer as a percentage rounded to 2 decimal places(e.g., 32.16).)

Explanation / Answer

Year(No of count) Return 1 -29.40% 2 16.60% 3 36.20% 4 3.80% 5 22.80% Total 50.00% Average (Mean) = Total/No of count 50%/5 10% Squares of (return-mean) -39.400% 0.155236 6.600% 0.004356 26.200% 0.068644 -6.200% 0.003844 12.800% 0.016384 Sum Total 0.248464 Variance = Sum of squares of (return-Mean)/No of count 0.248464/5 0.049693 Standard Deviation = Sqrt of variance 0.049693^1/2 0.222919268

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