Question: Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. Returns Year X Y 1 6
| Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. |
| Returns | ||
| Year | X | Y |
| 1 | 6 % | 20 % |
| 2 | 24 | 41 |
| 3 | 13 | -14 |
| 4 | -14 | -28 |
| 5 | 15 | 49 |
| Requirement 1: | |
| (a) | Calculate the arithmetic average return for X. |
| (Click to select) 10.74% 7.13% 8.80% 9.94% 11.00% | |
| (b) | Calculate the arithmetic average return for Y. |
| (Click to select) 17.00% 15.37% 11.02% 16.59% 13.60% |
| Requirement 2: | |
| (a) | Calculate the variance for X. (Do not round intermediate calculations.) |
| (Click to select) 0.020370 0.024945 0.016500 0.019956 0.025462 | |
| (b) | Calculate the variance for Y. (Do not round intermediate calculations.) |
| (Click to select) 0.113430 0.141787 0.091878 0.099486 0.124358 |
| Requirement 3: | |
| (a) | Calculate the standard deviation for X. (Do not round intermediate calculations.) |
| (Click to select) 14.03% 11.56% 15.79% 17.84% 14.27% | |
| (b) | Calculate the standard deviation for Y. (Do not round intermediate calculations.) |
| (Click to select) 42.10% 35.26% 31.54% 27.28% 33.68% |
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