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 % | 24 % |
| 2 | 24 | 45 |
| 3 | 13 | -11 |
| 4 | -14 | -25 |
| 5 | 15 | 53 |
| Requirement 1: | |
| (a) | Calculate the arithmetic average return for X. |
| (Click to select)7.13%9.94%11.00%8.80%10.74% | |
| (b) | Calculate the arithmetic average return for Y. |
| (Click to select)19.44%13.93%20.98%21.50%17.20% |
| Requirement 2: | |
| (a) | Calculate the variance for X. (Do not round intermediate calculations.) |
| (Click to select)0.0165000.0249450.0203700.0199560.025462 | |
| (b) | Calculate the variance for Y. (Do not round intermediate calculations.) |
| (Click to select)0.0947050.1461500.1169200.1075190.134399 |
| Requirement 3: | |
| (a) | Calculate the standard deviation for X. (Do not round intermediate calculations.) |
| (Click to select)14.27%17.84%15.79%11.56%14.03% | |
| (b) | Calculate the standard deviation for Y. (Do not round intermediate calculations.) |
| (Click to select)27.70%42.74%34.19%36.66%32.79% |
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