Question: 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. |
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| Returns | |
| Year | X | Y |
| 1 | 10 % | 23 % |
| 2 | 28 | 44 |
| 3 | 17 | -11 |
| 4 | -18 | -25 |
| 5 | 19 | 52 |
| Requirement 1: | |
| (a) | Calculate the arithmetic average return for X. |
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| (Click to select)13.66%14.00%11.20%12.66%9.07% |
| (b) | Calculate the arithmetic average return for Y. |
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| (Click to select)16.60%13.45%18.76%20.25%20.75% |
| Requirement 2: | |
| (a) | Calculate the variance for X. (Do not round intermediate calculations.) |
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| (Click to select)0.0307700.0384620.0305450.0381810.024924 |
| (b) | Calculate the variance for Y. (Do not round intermediate calculations.) |
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| (Click to select)0.0918780.1037690.1297110.1417870.113430 |
| Requirement 3: | |
| (a) | Calculate the standard deviation for X. (Do not round intermediate calculations.) |
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| (Click to select)17.38%21.93%17.54%19.54%14.21% |
| (b) | Calculate the standard deviation for Y. (Do not round intermediate calculations.) |
| Suppose a stock had an initial price of $72 per share, paid a dividend of $1.20 per share during the year, and had an ending share price of $79. |
| Compute the percentage total return. |
| A stock had returns of 11 percent, 16 percent, 14 percent, 8 percent, 13 percent, and -1 percent over the last six years. |
| Required: | |
| (a) | What is the arithmetic return for the stock? |
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| (Click to select)10.17%12.20%10.68%10.27%10.37% |
| (b) | What is the geometric return for the stock? |
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