Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. |
Returns | ||
Year | X | Y |
1 | 12 % | 21 % |
2 | 30 | 42 |
3 | 19 | -7 |
4 | -20 | -21 |
5 | 21 | 50 |
Requirement 1: | |
(a) | Calculate the arithmetic average return for X. |
A. 12.40% B. 10.04% C. 15.13% D. 15.50% E. 14.01% |
(b) | Calculate the arithmetic average return for Y. |
A. 20.74% B. 21.25% C. 13.77% D. 17.00% E. 19.21% |
Requirement 2: | |
(a) | Calculate the variance for X. (Do not round intermediate calculations.) |
A. 0.046014 B. 0.036930 C. 0.036812 D. 0.029913 E. 0.046163 |
(b) | Calculate the variance for Y. (Do not round intermediate calculations.) |
A. 0.075938 B. 0.117188 C. 0.093750 D. 0.110825 E. 0.088660 |
Requirement 3: | |
(a) |
Calculate the standard deviation for X. (Do not round intermediate calculations.) |
A. 19.22% B. 19.09% C. 24.02% D. 15.57% E. 21.45% |
(b) |
Calculate the standard deviation for Y. (Do not round intermediate calculations.) |
A. 24.80% B. 33.29% C. 38.27% D. 30.62% E. 29.78% |
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