Tim Trepid is highly risk-averse while Mike Macho actually enjoys taking a risk. |
Investments | Returns: Expected Value | Standard Deviation | ||||
Buy stocks | $ | 9,470 | $ | 6,120 | ||
Buy bonds | 7,560 | 2,850 | ||||
Buy commodity futures | 20,400 | 26,100 | ||||
Buy options | 18,800 | 16,600 | ||||
a-1. |
Compute the coefficients of variation. (Round your answers to 3 decimal places.)
|
Coefficient of Variation | |
Buy stocks | |
Buy bonds | |
Buy commodity futures | |
Buy options | |
a-2. | Which one of the following four investments should Tim choose? |
Buy bonds |
b. | Which one of the four investments should Mike choose? |
Buy commodity futures |
Explanation:
Coefficient of variation (V) = Standard deviation / Expected value |
a-1.
Buy stocks | $6,120 / $9,470 | = | .646 | |
Buy bonds | $2,850 / $7,560 | = | .377 | |
Buy commodity futures | $26,100 / $20,400 | = | 1.279 | |
Buy options | $16,600 / $18,800 | = | .883 | |
a-2.
Tim should buy the bonds because bonds have the lowest coefficient of variation.
|
b.
Mike should buy the commodity futures because they have the highest coefficient of variation.
|
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