Digital Technology wishes to determine its coefficient of
variation as a company over time. The firm projects the following
data (in millions of dollars):
Year | Profits: Expected Value |
Standard Deviation |
||||
1 | $ | 99 | $ | 39 | ||
3 | 146 | 63 | ||||
6 | 221 | 112 | ||||
9 | 250 | 158 | ||||
a. Compute the coefficient of variation
(V) for each time period. (Round your answers to 3
decimal places.)
|
b. Does the risk (V) appear to be
increasing over a period of time?
Ans a | Year | Expected value(Mean) | Standard deviation | Coefficient of variation | |||||||||
1 | 99 | 39 | 39.394% | ||||||||||
3 | 146 | 63 | 43.151% | ||||||||||
6 | 221 | 112 | 50.679% | ||||||||||
9 | 250 | 158 | 63.200% | ||||||||||
Coefficient of variation= | SD/Mean*100 | ||||||||||||
Ans b. | Coefficiant of variation explains the risk in terms of its return. | ||||||||||||
So yes we observe that the risk is increasing over the period of time given the returns as predicted by coefficient of variation shown in the above table. |
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