A function which is implemented in financial mathematics to quantify financial risk with a different method, not just the general risk measure is defines as Deviation risk measures, which supports the concept of standard deviation.
Standard deviation risk measure is defined as a measure the process that contains set data, and the more data is processed the deviation goes higher. The calculations of standard deviation are done by square root of the variance. In the field of finance, the standard deviation is implemented on the annual rate of return of investment to learn the measurement of investment's volatility.
Standard deviation is dubbed as historical volatility; the most usage of this process is done by the investor as a gauge for the amount of expected volatility.
The mechanism of this system is interpreted in mathematical terms as follows,
[1/n * (ri - rave)2]½
Managing Downside Risk in Financial Markets: Theory, Practice and Implementation, Volume 1 By Frank Alphonse Sortino, Stephen Satchell (published by Butterworth-Heinemann, 2001)
Understanding Financial Management: A Practical Guide By H. Kent Baker, Gary Powell (published by John Wiley & Sons, 2009)
Standard deviation = √(3,850/9) = √427.78 = 0.206
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