You\'ve observed the following returns on Doyscher Corporation\'s stock over the

Question

You've observed the following returns on Doyscher Corporation's stock over the past five years: -29.7 percent, 16.8 percent, 36.6 percent, 3.9 percent, and 22.9 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).) 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

Mean= (-29.7+ 16.8+ 36.6+ 3.9+ 22.9)/5= 10.1

Variance= (Mean-xi) 2/n= ((10.1+29.7)2+ (10.1-16.8)2+ (10.1-36.6)2+ (10.1-3.9)2+ (10.1-22.9)2)/5

= (1584.04+ 44.89+ 702.25+ 38.44+ 163.84)/5= 506.692

S.D= Variance= 506.692= 22.5

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