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mutual funds risk ratios


It’s time to understand the mutual funds risk ratios calculation. In our previous topics, we have clearly explained the basic concepts of mutual funds. We know the calculation of financial ratios and the qualitative approach in equity investment.

Coming to the mutual fund investments, we only rely on the past returns of the funds, based on that we make a decision. This is not the correct method to select the mutual fund scheme. Here we try to explain some of the alternative methods to select the fund based on the risk ratios of the mutual fund.

Mutual fund risk ratios give a clear picture of the mutual fund return, even fund manager make an investment decision based on the risk ratios. Investors need to understand the risks before making an investment decision.

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Risk is defined as a deviation from expectation. Deviation from expected outcomes can be positive or negative but as an investor we very much cautious about downside risk in the market.

As we know that mutual fund house collects the fund from the investors and invest in the different financial instruments like equity, bonds, and government securities. Since mutual fund schemes invest in the markets, the return they will earn is unpredictable.

In the market, such risk is quantified through the following ratios

  • Standard deviation
  • Beta
  • Alpha
  • Sharp Ratio

Let us have a quick view of the above ratios




The standard deviation is the average deviation of observed returns from the average return over a period of time.


Standard Deviation formula - Mutual funds risk ratios


X = yearly return of the fund

µ = average return of the fund

N= number of years (mostly take data for the last ten years from fund inception)

Standard deviation measures dispersion, how much the fund will scatter away from the average return. Remember one thing, higher standard deviation means, the fund is considered high risk.



Simply stated, “Alpha is the excess return relative to benchmark index return”.

For example, if an asset manager gets a 12% return in a specific mutual fund against a benchmark index of 10%, that means the alpha ratio would be 2.

An alpha of 2.0 means the fund has outperformed its benchmark index by 2%. For investors, the higher the alpha is considered for investment.




Beta is a measure of the volatility of a security or portfolio in comparison to the market as a whole.

By definition, the market has a beta of 1.0. If any individual stock or fund portfolio has more than 1.0 indicates that the fund will be more volatile than the market.

For example, if a fund portfolio beta is 1.3, it means the fund has 30% more volatility than the market.

If a scheme outperformed its benchmark index, we should understand, whether the beta of the scheme was high or the fund manager was able to deliver better returns.

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To understand alpha and beta, we just need a basic understanding of the Capital Asset Pricing Model (CAPM).

It simply explained the relationship between fund returns and market risk. The mathematical equation of the CAPM is as follows


 Fund Return = Risk free rate + Beta * (benchmark return – risk free rate)


*For the risk-free rate, we can consider the ten-year government bond yield or fixed deposit return of the nationalized banks.

It’s also called the expected return of the fund.


Let’s calculate the Alpha of the portfolio from the above calculation


Alpha of portfolio = Actual return of portfolio – An expected rate of return on the portfolio


The actual return of the fund may be varied from our expected return. The difference in actual return and expected return is known as Alpha in mutual funds. The mathematical equation for alpha is


 Fund Return = Risk free rate + Beta * (benchmark return – risk free rate) + Alpha


Almost we understand the calculation of Alpha, let’s go to the calculation of beta


The beta of Mutual funds = Covariance / Variance of market return


These are the statistical terms, try to understand the difference first.

Covariance measures the total variation of two random variables from their expected values. Variance measure the variation from the mean value.


Beta Calculation - Mutual funds risk ratios


Let us correlate these statistical terms into mutual funds

Actually, beta is calculated statistically by fitting a line through a plot of the excess return of the fund over risk-free rate in the Y-axis versus excess return of benchmark index return (Rm) over a risk-free rate.

The slope or gradient of the best fit line through this plot is the beta of the fund.

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  • Standard deviation tells us how much return on a fund is deviating from the expected returns based on the historical performance.
  • Higher the alpha ratio in mutual fund schemes on a consistent basis, the higher the possibility of long term returns
  • Anything more than zero is a good Alpha
  • Generally, Beta of around 1 or less than that is recommended.
  • If our fund beta is more than 1, then make sure that we are comfortable with the risk, as per our risk-taking capacity.

Kindly look at the continuation part of this article at, Mutual Fund advanced Risk Ratios

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