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

2)

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 10 % 22 %
2 28 43
3 17 -8
4 -18 -22
5 19 51

Requirement 1:
(a) The arithmetic average return of company X's stock is:
(Click to select) 13.66% 12.66% 9.07% 14.00% 11.20%

(b)

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

(Click to select) 13.93% 19.44% 20.98% 21.50% 17.20%

Requirement 2:
(a) The historical variance of company X's stock returns is: (Do not round intermediate calculations.)
(Click to select) 0.024924 0.038181 0.030545 0.038462 0.030770

(b) The historical variance of company Y's stock returns is: (Do not round intermediate calculations.)
(Click to select) 0.081057 0.094039 0.100070 0.125088 0.117549

Requirement 3:
(a)

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

(Click to select) 21.93% 17.38% 19.54% 14.21% 17.54%

(b)

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

(Click to select) 25.62% 31.63% 34.29% 39.54% 30.67%

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