The overall standard deviation of the independent cash flows that are perfectly correlated is $90,000.
The standard deviation is the average variability of a data set.
The standard deviation describes an average value from which each data variable lies from the mean.
It is simply the average distance from the mean.
The standard deviation for this solution is computed as follows:
Year 1 standard deviation = $20,000
Year 2 standard deviation = $30,000
Year 3 standard deviation = $40,000
Total standard deviation = $90,000 ($20,000 + $30,000 + $40,000)
Thus, the overall standard deviation of the independent cash flows that are perfectly correlated is $90,000.
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