What are the arithmetic and geometric average returns for a stock with annual returns of 19 percent, 9 percent, –4 percent, and 13 percent?
Multiple Choice
9.25%; 8.91%
8.91%; 9.25%
11.11%; 8.91%
11.11%; 9.25%
9.25%; 11.11%
arithmetic return = (sum of returns)/count
= (19 + 9 -4 + 13)/4
= 9.25%
Geometric return = [(1+r1) * (1+r2) ....(1+rn)]^(1/n) - 1
= [1.19 * 1.09 *0.96*1.13]^(1/4) - 1
= 8.91%
hence choose 9.25%; 8.91%
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