In other words, this means that 68% of the time Fund C’s future returns may range between 7% and 13% (10% average plus or minus its standard deviation of 3). Similarly 95% of the time the future returns are likely to fall between 4% and 16% (10% average plus or minus twice the standard deviation i.e. 6). Standard deviation is a widely used metric to ascertain the investment risk of mutual funds. At the center is the exponential moving average (EMA), which reflects the average price of the security over an established time frame. To either side of this line are bands set one to three standard deviations away from the mean.

## Other Data to Consider

Being reactionary to the volatility in the market can prove to be detrimental to the investors interest in the longer run. Market volatility is usually measured with the help of beta ratio and standard deviation. One drawback of SD is that takes into account both negative and positive dispersion from the average. This means that returns that are above average will increase the SD the same way as returns that are below the average. The standard deviation tends to be lower over a longer period of time as compared to shorter time periods. We defined alpha as the excess return of the fund over and above the benchmark returns.

## Target maturity funds – What are they? Taxation, Pros and Cons of investing in TMFs

Well, that is true, but we need to make a few small changes to that equation and include our newly introduced friend, beta. To understand alpha, we need to understand the concept of ‘Risk-free’ return. The risk-free return is the maximum return you can generate without taking any risk. By risk I mean – market risk, credit risk, interest rate risk, and unsystematic risk. If the beta was 0.6 or 0.65, what is standard deviation in mutual fund the fund is less risk or less volatile compared to its benchmark.

For instance, a beta of 1.2 suggests that the fund is 20% riskier compared to its benchmark. If the benchmark falls by 1%, the fund is expected to fall by 1.2%. A larger number of the standard deviation denotes a wider range of returns, whereas a smaller value denotes a narrower range.

## What Does Standard Deviation Measure In a Portfolio?

Again this is not to say that Nippon India Large Cap’s standard deviation is not favorable. As an investor, you can take a call depending on your return expectations and risk appetite. Positive dispersion is desirable while negative dispersion from average is not. So this ratio needs to be compared within the same asset class, fund categories and over a similar time frame. A fund that has delivered extraordinary returns can have a high SD.

The fund is rewarded if the returns are generated by keeping a low-risk profile and penalized for being volatile. In order to find the standard deviation of a multiple-asset portfolio, an investor would need to account for each fund’s correlation, as well as the standard deviation. In other words, volatility (standard deviation) of a portfolio is a function of how each fund in the portfolio moves in relation to each other fund in the portfolio. Bollinger bands is a technical analysis tool designed to discover probabilities of when an asset is oversold or overbought. Bollinger Bands are composed of three main lines namely, a simple moving average (middle band) and an upper and lower band. The simple moving average (SMA) generally uses a 20-day period wherein, it averages out the closing prices for the first twenty days as the first data point.

In addition to its numerous other useful applications, Bollinger Bands are used as an indicator of market volatility. When a security has experienced a period of great volatility, the bands are wide apart. While the returns remain the same, thanks to beta, the alpha is significantly lesser on a risk-adjusted basis.

- While mean and standard deviation measures the extent of variation, standard variation is considered more effective when the data points are normally distributed.
- Due to its consistent mathematical properties, 68% of the values in any data set lie within one standard deviation of the mean, and 95% lie within two standard deviations of the mean.
- A tool of statistics, standard deviation is used to measure variation from an arithmetic mean.
- It can be used to analyse the historical performance of a fund in isolation.
- For instance, a beta of 1.2 suggests that the fund is 20% riskier compared to its benchmark.
- A larger number of the standard deviation denotes a wider range of returns, whereas a smaller value denotes a narrower range.

While funds in the equity category will have a higher standard deviation in comparison to the debt category. No concepts are more fundamental to investing than risk and return. And when it comes to risk, the most widely used measure to determine the investment risk level of mutual funds is standard deviation, or SD. A tool of statistics, standard deviation is used to measure variation from an arithmetic mean.

Investors’ exposure to various asset classes/securities should be in line with their risk-appetite. Before adding any investment to your portfolio, you should consider the impact of the same on the overall portfolio risk. In the investment world, standard deviations are demonstrated with the help of Bollinger Bands. Even the most range-bound charts experience brief spurts of volatility from time to time, often after earnings reports or product announcements. In these charts, normally narrow Bollinger bands suddenly bubble out to accommodate the spike in activity.

Standard deviation of historical mutual fund performance is used by investors in an attempt to predict a range of returns for various mutual funds. The meaning of standard deviation helps you measure the volatility factor of a fund. Thus, if a fund has a standard deviation of 7% and an average return of 15%, it will be expected to give average returns in the range of 8-22%, deviating by 7%.

For a given data set, standard deviation measures how spread out the numbers are from an average value. Though such instances are uncommon, it is possible for a fund with a low standard deviation to have financial losses because of subpar portfolio composition. When selecting a fund based on the standard deviation definition, you can use standard deviation to analyse risk following his risk tolerance and time horizon for investing. Choose the investment that matches your risk appetite, for instance, if fund A has a higher risk appetite than fund B. Please read all scheme related documents carefully before investing.

When investing in mutual funds, we frequently use returns as a criterion for evaluation. A reasonable estimate of risk and returns can aid you in making a wise decision. The standard deviation statistical tool can be used to evaluate risks and volatility.

## Mutual Fund Beta, SD, and Sharpe Ratio

In technical terms, it is a dispersion of returns from the average over a period of time. Generally, it is calculated using trailing monthly total returns for 3, 5 or 10 years. All the monthly standard deviations are annualized and expressed as a percentage.

But just because a fund has a higher standard deviation, it does not automatically imply that the fund is performing worse off than a fund with a lower standard deviation. The deviation tends to become a secondary consideration if the former fund performs better irrespective. The concept of Standard Deviation becomes important when you invest in a market-linked product like mutual fund.