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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 % 25 %
2 28 46
3 17 -6
4 -18 -20
5 19 54

Requirement 1:
(a) Calculate the arithmetic average return for X.

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14.00%

12.66%

11.20%

13.66%

9.07%

(b) Calculate the arithmetic average return for Y.

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24.75%

16.04%

19.80%

24.16%

22.37%

Requirement 2:
(a) Calculate the variance for X. (Do not round intermediate calculations.)

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0.038462

0.030770

0.030545

0.024924

0.038181

(b) Calculate the variance for Y. (Do not round intermediate calculations.)

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0.083689

0.126483

0.103320

0.101186

0.129150

Requirement 3:
(a)

Calculate the standard deviation for X. (Do not round intermediate calculations.)

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17.38%

19.54%

21.93%

14.21%

17.54%

(b)

Calculate the standard deviation for Y. (Do not round intermediate calculations.)

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26.04%

32.14%

40.18%

35.56%

31.81%

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