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The table below shows historical annual returns for stocks of companies X and Y over recent years. Calculate the arithmetic average returns. In addition, calculate

The table below shows historical annual returns for stocks of companies X and Y over recent years. Calculate the arithmetic average returns. In addition, calculate their historical variances, as well as their historical standard deviations.

Returns
Year X Y
1 7 % 24 %
2 25 45
3 14 -9
4 -15 -23
5 16 53

Requirement 1:
(a) The arithmetic average return of company X's stock is:
(Click to select) 9.40% 10.62% 11.47% 7.61% 11.75%

(b)

The arithmetic average return of company Y's stock is:

(Click to select) 14.58% 22.50% 21.96% 20.34% 18.00%

Requirement 2:
(a) The historical variance of company X's stock returns is: (Do not round intermediate calculations.)
(Click to select) 0.028412 0.018411 0.027950 0.022730 0.022360

(b) The historical variance of company Y's stock returns is: (Do not round intermediate calculations.)
(Click to select) 0.103314 0.089100 0.129143 0.110000 0.137500

Requirement 3:
(a)

The historical standard deviation of company X's stock returns is: (Do not round intermediate calculations.)

(Click to select) 12.21% 16.72% 18.85% 15.08% 14.85%

(b)

The historical standard deviation of company Y's stock returns is: (Do not round intermediate calculations.)

(Click to select) 26.86% 41.46% 33.17% 35.94% 32.14%

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