In mathematics, standard deviation is the degree of the dispersion from a set of data’s mean. The SD is higher when the data is more stretched. In other terms, the square root of the variance is the standard deviation.

In finance, the representation of standard deviation is associated with the risk in trading securities, such as bonds, property and stock. It is also the risk of ‘portfolio securities’. Therefore, risk is a fundamental tool in evaluating, and managing the portfolios of investments. This as a result determines different returns associated to the assets/portfolio, and helps investors to make the best decision. Overall, investors can expect higher returns when an investment is attached with higher risk levels.

SD can also be used in determining how huge the market movements are if returns are at normal distribution.

An Example:

A mutual fund X gains 1% every month historically, for the past 36 months. The SD is at 0 because of no changes in the returns monthly. However, if the fund X loses 1% each month then it would still have SD at 0. This is because the returns did not vary. On the other hand, if a mutual fund Y gains a return of 5% one month, 25% the second month and suddenly loses 7% the third month it will have a higher SD, because the returns have been very fluctuating.

In most cases, the monthly returns of the funds will fall within a SD of the average returns. The probability of this happening is 68%of the times. While, for returns to fall within 2 SD, the probability of it happening lies at 95%

SD is not intuitive in nature, and therefore it is not useful for comparisons to make with other trading funds. For this reason, SD should be used with some context. In determining the SD of your funds, first look at the SD of similar funds, and in the same category as yours.

Technical indicators make use of SD as a way to evaluate the future of the stock, whether it is good to sell it off or buy. However, SD is just one way to measure the risk, it should be used with other indicators in deciding whether the worth of stock is risky or not.

www.sciencedirect.com [PDF]

… exponent 2β(1)≃0.38 is obtained by the previous scaling analysis of the standard deviation … 1995 R Mantegna, HE StanleyScaling behavior in the dynamics of an economics index. Nature … 1996 A PaganThe econometrics of financial markets. Journal of Empirical Finance, 3 (1996 …

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… exponent 2β(1)≃0.38 is obtained by the previous scaling analysis of the standard deviation … 1995 R Mantegna, HE StanleyScaling behavior in the dynamics of an economics index. Nature … 1996 A PaganThe econometrics of financial markets. Journal of Empirical Finance, 3 (1996 …

www.sciencedirect.com [PDF]

… exponent 2β(1)≃0.38 is obtained by the previous scaling analysis of the standard deviation … 1995 R Mantegna, HE StanleyScaling behavior in the dynamics of an economics index. Nature … 1996 A PaganThe econometrics of financial markets. Journal of Empirical Finance, 3 (1996 …

www.tandfonline.com [PDF]

… exponent 2β(1)≃0.38 is obtained by the previous scaling analysis of the standard deviation … 1995 R Mantegna, HE StanleyScaling behavior in the dynamics of an economics index. Nature … 1996 A PaganThe econometrics of financial markets. Journal of Empirical Finance, 3 (1996 …

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… exponent 2β(1)≃0.38 is obtained by the previous scaling analysis of the standard deviation … 1995 R Mantegna, HE StanleyScaling behavior in the dynamics of an economics index. Nature … 1996 A PaganThe econometrics of financial markets. Journal of Empirical Finance, 3 (1996 …

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… exponent 2β(1)≃0.38 is obtained by the previous scaling analysis of the standard deviation … 1995 R Mantegna, HE StanleyScaling behavior in the dynamics of an economics index. Nature … 1996 A PaganThe econometrics of financial markets. Journal of Empirical Finance, 3 (1996 …

www.jstor.org [PDF]

… exponent 2β(1)≃0.38 is obtained by the previous scaling analysis of the standard deviation … 1995 R Mantegna, HE StanleyScaling behavior in the dynamics of an economics index. Nature … 1996 A PaganThe econometrics of financial markets. Journal of Empirical Finance, 3 (1996 …

link.springer.com [PDF]

… exponent 2β(1)≃0.38 is obtained by the previous scaling analysis of the standard deviation … 1995 R Mantegna, HE StanleyScaling behavior in the dynamics of an economics index. Nature … 1996 A PaganThe econometrics of financial markets. Journal of Empirical Finance, 3 (1996 …

www.sciencedirect.com [PDF]

… exponent 2β(1)≃0.38 is obtained by the previous scaling analysis of the standard deviation … 1995 R Mantegna, HE StanleyScaling behavior in the dynamics of an economics index. Nature … 1996 A PaganThe econometrics of financial markets. Journal of Empirical Finance, 3 (1996 …

www.annualreviews.org [PDF]

… exponent 2β(1)≃0.38 is obtained by the previous scaling analysis of the standard deviation … 1995 R Mantegna, HE StanleyScaling behavior in the dynamics of an economics index. Nature … 1996 A PaganThe econometrics of financial markets. Journal of Empirical Finance, 3 (1996 …

www.tandfonline.com [PDF]

… exponent 2β(1)≃0.38 is obtained by the previous scaling analysis of the standard deviation … 1995 R Mantegna, HE StanleyScaling behavior in the dynamics of an economics index. Nature … 1996 A PaganThe econometrics of financial markets. Journal of Empirical Finance, 3 (1996 …

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Some examples include determining whether or not to invest in certain mutual funds based on their risk levels, and comparing one mutual fund's risk level to another's.

An example would be if your mutual fund gained 1 each month historically, over 36 months. The formula would look like this .

Standard deviation exists to help investors make comparisons between different funds.

Yes, every investment has an associated SD value that indicates its risk level.

The formula for calculating monthly returns is .

You can determine how risky a fund is by calculating its standard deviation and comparing it to other funds with similar risk levels.

Standard deviation is the degree of dispersion from a set of data's mean.

In finance, SD stands for "Standard Deviation."

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