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We find a lot of information on social media about what volatility is, but often by trying to summarise it too much, it is not explained enough to be used in making investment decisions. This is especially true for an investor who wants to advance their knowledge without having to delve into terms too complex for their purpose.
Historical volatility is the most popular statistic for estimating the market risk of a financial asset (fluctuations in that asset in the market). While there are other more appropriate and understandable statistics, historical volatility is the most familiar indicator for an individual investor.
In reality, it is a statistic that measures uncertainty and is used as an approximation to the historical market risk of a financial asset.
Historical volatility is calculated based on the historical behaviour of an asset by measuring the intensity of the price changes of an asset between two determined dates for a given time. It is usually expressed in annual terms. The information it gives us is the dispersion of historical returns around the average return of a financial asset. It is also applied for a portfolio or set of assets or a stock market index.
In order to calculate it, certain assumptions are made about market behaviour such as, for example, that the returns of an asset behave according to a normal distribution (with the symmetry in behaviour that assumes normality in the distribution of returns).
Therefore, it informs us of both positive and negative deviations around the historical average profitability by assuming symmetry in the dispersion of the results. It is for this reason that it is an indicator of uncertainty as it indicates the degree of variation both positive and negative. From the point of view of risk, we would only be interested in the negative side, but in this article we will give it a practical meaning to be applied in risk decision making.
Like many of the statistics we use, historical analysis is used to try to characterise an asset, and we also use it to make investment decisions in the future.
In the case of volatility it is used to measure the degree of uncertainty. With the information that an individual investor normally has at his disposal, which is the volatility data expressed in a percentage, it serves only to identify and rank assets according to their uncertainty. The higher the volatility, the greater the uncertainty.
But volatility can provide us with more information to help us understand the behaviour of an asset for investment decision making.
First of all, we should know that volatility informs us of the dispersion of returns around the average return in a year, taking into account 68% of the possible cases. This means that, if we are interested in using volatility as a measure of risk, there are 32% of cases that are not covered by the volatility statistic (16% for positive cases and 16% for negative cases).
If we know the historical average return on a financial asset, volatility can be translated and can help us better understand the uncertainty implicit in this asset.
For example, if we are informed that the volatility of a share is 20%, and its historical average return is 8%, we can say that in 68% of the cases observed, returns on this asset have been between -12% (8% – 20%) and +28% (8% + 20%).
For investment decision making purposes, if we assume that the factors that have caused historical fluctuations in an asset are going to be replicated in the future, we could say that there is a 68% chance that the return on that asset in the future will be between -12% and 28%.
For an investor with a long-term investment time horizon, taking into account that only 68% of possible cases are considered and that in situations of stress in the markets downturns can occur outside this range of probabilities, volatility can help us understand uncertainty:
It is important to know that there are risk indicators that are more appropriate for measuring market risk and, in any case, are complementary to characterising the market risk of a financial asset, which we will address in other articles. Some of them are:
Finally, it should be noted that investment decisions on assets or financial products cannot be based solely on expected returns.
Risk is the basis for investment decision making and, in any case, if we want to make decisions based on expected returns, it would be necessary to have the profitability information in relation to the risk you are willing to take. This is where all risk-adjusted return ratios come in. For example the ratios of Sharpe, Sortino, Treynor, Information…
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