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 10
| Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. |
| Returns | ||
| Year | X | Y |
| 1 | 10 % | 22 % |
| 2 | 28 | 43 |
| 3 | 17 | -8 |
| 4 | -18 | -22 |
| 5 | 19 | 51 |
| Requirement 1: | |
| (a) | Calculate the arithmetic average return for X. |
| (Click to select)14.00%9.07%13.66%11.20%12.66% | |
| (b) | Calculate the arithmetic average return for Y. |
| (Click to select)21.50%13.93%17.20%20.98%19.44% |
| Requirement 2: | |
| (a) | Calculate the variance for X. (Do not round intermediate calculations.) |
| (Click to select)0.0249240.0381810.0307700.0384620.030545 | |
| (b) | Calculate the variance for Y. (Do not round intermediate calculations.) |
| (Click to select)0.1250880.1175490.0810570.0940390.100070 |
| Requirement 3: | |
| (a) | Calculate the standard deviation for X. (Do not round intermediate calculations.) |
| (Click to select)14.21%19.54%21.93%17.54%17.38% | |
| (b) | Calculate the standard deviation for Y. (Do not round intermediate calculations.) |
| (Click to select)25.62%39.54%30.67%34.29%31.63% |
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