Standard deviation measures the dispersion of returns around the average (mean) return. A higher standard deviation indicates greater historical volatility, showing how much the returns deviate from the expected average.
Formula:
Standard Deviation=Σ(Ri−Rˉ)2n\text{Standard Deviation} = \sqrt{\frac{\Sigma (R_i - \bar{R})^2}{n}}Standard Deviation=nΣ(Ri−Rˉ)2
Where:
RiR_iRi = Individual returns
Rˉ\bar{R}Rˉ = Mean return
nnn = Number of data points
[Reference:, ICWIM, Topic: Risk Measurement and Investment Analysis., CFA Curriculum: Standard Deviation in Portfolio Risk Assessment., , , ]
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