Question

Asset M has annual returns of 10%, -10%, 20%, -15%, 8%, and -7% for the past six years. What is the coefficient of variation

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Answer #1

Average return=Total return/Total time period

=(10-10+20-15+8-7)/6=1%

Return (Return-Average Return)^2
10 (10-1)^2=81
-10 (-10-1)^2=121
20 (20-1)^2=361
-15 (-15-1)^2=256
8 (8-1)^2=49
-7 (-7-1)^2=64
Total=932%

Standard deviation=[Total (Return-Average Return)^2/(Time period-1)]^(1/2)

=[932/(6-1)]^(1/2)

=[932/5]^(1/2)

=13.65%(Approx)

Coefficient of variation=Standard deviation/Expected return

=13.65/1

=13.65(Approx)

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