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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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