A stock has had returns of −19.7 percent, 29.7 percent, 32.4 percent, −10.8 percent, 35.5 percent, and 27.7 percent over the last six years.
What are the arithmetic and geometric returns for the stock? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
Arithmetic average return |
% |
Geometric average return |
% |
Arithmetic average return is the simple average of all period returns
Arithmetic average return R
Arithmetic average return R = (−0.197 + 0.297+ 0.324 −0.108+ 0.355 + 0.277)/6
R = 0.948/6 = 0.158 or 15.8%
Arithmetic average return R = 15.8%
Geometric average return R
R=1.134157-1
R = 0.134157
Geometric average return R=13.42%
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You've observed the following returns on Yamauchi Corporation's stock over the past five years: -29.7 percent, 16.8 percent, 36.6 percent, 3.9 percent, and 22.9 percent. a. What was the arithmetic average return on the stock over this five-year period? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What was the variance of the returns over this period? (Do not round intermediate calculations and round your answer to 6...