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Standard Deviation

Standard deviation of return measures the average deviations of a return series from its mean, and is often used as a measure of risk. A large standard deviation implies that there have been large swings in the return series of the manager.

Standard deviation can be calculated in two ways:
Standard Deviation assumes that the returns series is a sample of the population. This is the calculation most commonly used. The standard deviation of the return series is the square root of the variance:

StdDev(r1, …, rn) =

where r1, …, rn is a return series, i.e., a sequence of returns for n time periods.

Population Standard Deviation assumes that the return series is the population. Population Standard Deviation is the square root of the population variance:

PStdDev(r1, …, rn) =

Related Statistics:
Annualized Return
Cumulative Return
Mean

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