Five investment alternatives have the following returns and standard deviations of returns.
|
| Alternatives | Returns: Expected Value | Standard Deviation | ||||
| A | $ 1,820 | $ 550 | ||||
| B | 860 | 1,030 | ||||
| C | 5,900 | 1,200 | ||||
| D | 1,980 | 540 | ||||
| E | 61,000 | 22,100 | ||||
Calculate the coefficient of variation and rank the five alternatives from lowest risk to the highest risk by using the coefficient of variation. (Round your answers to 3 decimal places.)
|
| Alternatives | Coefficient of Variation | Rank |
| A | C | |
| B | D | |
| C | A | |
| D | E | |
| E | B | |
Explanation:
| Coefficient of variation (V) = Standard deviation / Mean return |
| Ranking from Lowest to Highest | |||||||
| A | $550 / $1,820 | = | .302 | C (.203) | |||
| B | $1,030 / $860 | = | 1.198 | D (.273) | |||
| C | $1,200 / $5,900 | = | .203 | A (.302) | |||
| D | $540 / $1,980 | = | .273 | E (.362) | |||
| E | $22,100 / $61,000 | = | .362 | B (1.198) | |||
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