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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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