Q:
A:
The
ABC Global mutual fund exhibited the following rates
of return over the last five years, starting with the
most recent year: 15%, 7%, 6.5%, 11.3% and 32.7%.
How much would the difference between the arithmetic
mean and the geometric mean of this historical performance
be?
a) Arithmetic mean is higher by 1.14%.
b) Both means would be the same, so the difference is zero.
c) Arithmetic mean is 1.14 times greater than geometric mean.
d) Arithmetic mean is lower by 1.14%.
a) Arithmetic mean is higher by 1.14%.
b) Both means would be the same, so the difference is zero.
c) Arithmetic mean is 1.14 times greater than geometric mean.
d) Arithmetic mean is lower by 1.14%.
The correct answer is: a)
Arithmetic Mean = (15 + 7 + 6.5 + 11.3 + 32.7)/5
= 7.18%
Geometric Mean =[(1.15 x 0.93 x 1.065 x 0.887 x 1.327)^(1/5)] 
1 = 6.04
Therefore, the arithmetic mean is higher than the
geometric mean by 1.14% (7.18  6.04)
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