Standard Deviation in Mutual Funds

5 mins read
by Angel One
Learn how standard deviation in mutual funds reveals return consistency, helps compare fund risks, supports portfolio decisions, and why it must be used with metrics like Sharpe ratio and alpha.

For investors looking to make smart, risk-aware decisions, understanding what is standard deviation in mutual fund investments becomes crucial. It is not just a term thrown around in financial circles—it plays a real role in showing how stable or volatile your investment returns can be. If you’ve ever wondered why two mutual funds with similar average returns behave so differently, the answer often lies in their standard deviation. This article explores everything about standard deviation in mutual funds in a reader-friendly, practical way.

What Is Standard Deviation in Mutual Funds?

Standard deviation in mutual funds refers to how much the returns of a fund fluctuate from its average (or mean) return. In simple words, it tells you how consistent the returns of a mutual fund have been over time.

If the returns move a lot from the average, the standard deviation is high, showing more volatility. If they stick close to the average, the standard deviation is low, signalling stability. This basic insight makes a big difference when choosing between investment options.

Standard Deviation Meaning in Mutual Fund Context

To understand the standard deviation meaning in mutual fund investments, think of it as a tool that helps you manage expectations. Imagine two funds that both offer a 10% average return. One fund’s returns vary between 8% and 12%, while the other jumps from 2% to 18%. Though their averages are the same, the risk involved in each is quite different. That’s exactly what standard deviation helps highlight.

Why Standard Deviation Matters to Mutual Fund Investors?

  • Helps assess investment risk:The higher the standard deviation for mutual funds, the more unpredictable they are. A fund with a standard deviation of 12% is riskier than one with a deviation of 4%. It tells you how much you can expect your returns to swing—important for those who don’t like surprises with their money.
  • Allows better comparison:Using standard deviation in mutual fund comparison enables you to line up different funds and see which one matches your comfort with risk. If you’re risk-averse, you’ll prefer funds with a lower deviation. If you’re fine with market ups and downs for the chance at higher gains, a high deviation fund might suit you.
  • Aids in portfolio diversification:Diversifying your mutual fund investments based on standard deviation can help balance your portfolio. If you already have a high-deviation fund, adding a stable one reduces your overall risk.

How Is Standard Deviation Calculated in Mutual Funds?

The standard deviation is calculated using this formula:

SD = √[(Σ (Xi – μ)²) / (N – 1)]

Where:

  • Xi= Each individual return
  • μ= Mean or average return
  • N= Total number of observations

Example:

Suppose a mutual fund gives monthly returns of: 2%, 3%, -1%, 4%, 5%, 0%, 3%, 2%, 4%, -2%, 1%, 3%

  1. Mean (μ) = 1.83%
  2. Deviations from mean: [0.17, 1.17, -2.83, 2.17, etc.]
  3. Squared deviations: [0.03, 1.37, 8.45, 4.71, etc.]
  4. Average of squared deviations = 50.035
  5. SD = √(50.035 / 11) ≈ 2.13

This result means the fund’s returns generally deviate 2.13% from the average. It gives you a practical sense of how volatile the investment is.

Standard Deviation for Mutual Funds by Category

  • Equity mutual funds:These have a higher standard deviation due to stock market fluctuations.
  • Debt mutual funds:These typically offer a lower standard deviation, reflecting more predictable returns.
  • Hybrid funds:These sit somewhere in between, depending on the mix of assets.

Using Standard Deviation to Select Mutual Funds

  1. Match funds with risk appetite: A high standard deviation (e.g. 15%) means your returns could swing widely—suitable for aggressive investors. A conservative investor might prefer a fund with a deviation closer to 4%.
  2. Compare similar fund types:Comparing an equity fund to a debt fund using standard deviation might not be meaningful. Instead, use it to compare funds within the same category. This shows which fund offers better risk-adjusted returns.
  3. Look beyond just returns:Sometimes, a fund offering slightly lower returns but with much lower deviation could actually serve your financial goals better, especially if you’re looking for stability.

Limitations of Standard Deviation in Mutual Funds

  • Assumes normal distribution:Standard deviation works on the assumption that a mutual fund’s returns follow a normal distribution — meaning they form a perfect bell-shaped curve. However, in real market conditions, returns can often be skewed due to economic shocks, policy changes, or sudden investor behaviour. This can lead to misleading results because standard deviation may not fully capture the possibility of extreme losses or gains.
  • Does not distinguish good and bad volatility:Another key limitation is that standard deviation treats all types of fluctuations equally. Whether a fund’s value goes up sharply or falls suddenly, it is considered a deviation from the average. For investors, though, upward movements are often welcome, while downward swings are a concern. Standard deviation does not make this distinction and might not reflect the actual risk perception of an investor.
  • Needs to be used with other metrics:Standard deviation alone cannot give a complete picture of a mutual fund’s risk profile. For a more thorough assessment, it should be combined with other financial metrics like the Sharpe ratio (which adjusts returns based on risk), beta (which measures market sensitivity), and alpha (which shows performance beyond the benchmark). These tools together help investors evaluate risk more accurately and make better-informed decisions.

Conclusion

Understanding what is standard deviation in mutual fund investments can transform how you see risk. It’s a simple yet powerful way to gauge how consistent a mutual fund’s returns have been, helping you make choices that align with your risk profile and financial goals.

While standard deviation for mutual funds shouldn’t be the only tool you rely on, it gives you a solid foundation to assess how bumpy your investment journey could be. Use it smartly—compare funds, match it to your risk tolerance, and pair it with other risk metrics to build a resilient and balanced portfolio.

FAQs

What does a high standard deviation indicate in mutual funds?

A high standard deviation indicates high volatility, meaning the mutual fund’s returns fluctuate significantly around the average, posing higher risk and potential reward. 

How is standard deviation used in portfolio management?

Standard deviation helps measure risk in a portfolio by showing how much individual investments deviate from expected returns, assisting investors in balancing risk and reward. 

Can standard deviation predict future returns of mutual funds?

No, standard deviation does not predict future returns. It only reflects past volatility, which helps in estimating potential future fluctuations, not exact outcomes. 

Is standard deviation the only measure of risk in mutual funds?

No, it is one of many. Other risk measures like beta, Sharpe ratio, and alpha are also important for a more complete risk assessment. 

How Often Should You Check Standard Deviation?

Standard deviation is not something you need to check daily. Reviewing it once every six months or annually is sufficient. Also, check it when you’re rebalancing your portfolio or considering switching funds.