Suppose the past four years, the returns of your portfolio were 10%, 5%, -6% and 12%. What was the standard deviation of the returns of your portfolio?
Select one:
a. 5.25%
b. 5.50%
c. 6.00%
d. 8.06%
Ans d. 8.06%
YEAR | RETURN | (X -Average Return of X)^2 |
1 | 10 | 22.562500 |
2 | 5 | 0.062500 |
3 | -6 | 126.562500 |
4 | 12 | 45.562500 |
Total | 21 | 194.750000 |
arithmetic mean = | Total Return / NO of years | |
21 / 4 | ||
5.250 | ||
Variance = | sum of (X -Average Return of X)^2 / ( no of years - 1) | |
194.75 / (4 - 1) | ||
64.9167 | ||
Standard Deviation = | Square root of Variance | |
Square root of 64.9167 | ||
8.06 |
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