Beta: Definition, Calculation, and Explanation for Investors (2024)

What Is Beta?

Beta (β) is a measure of the volatilityor systematic riskof a security or portfolio compared to the market as a whole (usually the S&P 500). Stocks with betas higher than 1.0 can be interpreted as more volatile than the S&P 500.

Beta is used in the capital asset pricing model (CAPM), which describes the relationship between systematic risk and expected return for assets (usually stocks). CAPM is widely used as a method for pricing risky securities and for generating estimates of the expected returns of assets, considering both the risk of those assets and the cost of capital.

Key Takeaways

  • Beta (β), primarily used in the capital asset pricing model (CAPM), is a measure of the volatility–or systematic risk–of a security or portfolio compared to the market as a whole.
  • Beta data about an individual stock can only provide an investor with an approximation of how much risk the stock will add to a (presumably) diversified portfolio.
  • For beta to be meaningful, the stock should be related to the benchmark that is used in the calculation.
  • The S&P 500 has a beta of 1.0.
  • Stocks with betas above 1 will tend to move with more momentum than the S&P 500; stocks with betas less than 1 with less momentum.

Beta: Definition, Calculation, and Explanation for Investors (1)

How Beta Works

A beta coefficient can measure the volatility of an individual stock compared to the systematic risk of the entire market. In statistical terms, beta represents the slope of the line through a regression of data points. In finance, each of these data points represents an individual stock's returns against those of the market as a whole.

Beta effectively describes the activity of a security's returns as it responds to swings in the market. A security's beta is calculated by dividing the product of the covariance of the security's returns and the market's returns by the variance of the market's returns over a specified period.

The Calculation for Beta Is As Follows:

Betacoefficient(β)=Covariance(Re,Rm)Variance(Rm)where:Re=thereturnonanindividualstockRm=thereturnontheoverallmarketCovariance=howchangesinastock’sreturnsarerelatedtochangesinthemarket’sreturnsVariance=howfarthemarket’sdatapointsspreadoutfromtheiraveragevalue\begin{aligned} &\text{Beta coefficient}(\beta) = \frac{\text{Covariance}(R_e, R_m)}{\text{Variance}(R_m)} \\ &\textbf{where:}\\ &R_e=\text{the return on an individual stock}\\ &R_m=\text{the return on the overall market}\\ &\text{Covariance}=\text{how changes in a stock's returns are} \\ &\text{related to changes in the market's returns}\\ &\text{Variance}=\text{how far the market's data points spread} \\ &\text{out from their average value} \\ \end{aligned}Betacoefficient(β)=Variance(Rm)Covariance(Re,Rm)where:Re=thereturnonanindividualstockRm=thereturnontheoverallmarketCovariance=howchangesinastock’sreturnsarerelatedtochangesinthemarket’sreturnsVariance=howfarthemarket’sdatapointsspreadoutfromtheiraveragevalue

The beta calculation is used to help investors understand whether a stock moves in the same direction as the rest of the market. It also provides insights into how volatile–or how risky–a stock is relative to the rest of the market. For beta to provide any useful insight, the market that is used as a benchmark should be related to the stock. For example, calculating a bond ETF's beta using the S&P 500 as the benchmark would not provide much helpful insight for an investor because bonds and stocks are too dissimilar.

Understanding Beta

Ultimately, an investor is using beta to try to gauge how much risk a stock is adding to a portfolio. While a stock that deviates very little from the market doesn’t add a lot of risk to a portfolio, it also doesn’t increase the potential for greater returns.

In order to make sure that a specific stock is being compared to the right benchmark, it should have a high R-squared value in relation to the benchmark. R-squared is a statistical measure that shows the percentage of a security's historical price movements that can be explained by movements in the benchmark index. When using beta to determine the degree of systematic risk, a security with a high R-squared value, in relation to its benchmark, could indicate a more relevant benchmark.

For example, a gold exchange-traded fund (ETF), such as the SPDR Gold Shares (GLD), is tied to the performance of gold bullion. Consequently, a gold ETF would have a low beta and R-squared relationship with the S&P 500.

One way for a stock investor to think about risk is to split it into two categories. The first category is called systematic risk, which is the risk of the entire market declining. The financial crisis in 2008 is an example of a systematic-risk event; no amount of diversification could have prevented investors from losing value in their stock portfolios. Systematic risk is also known as un-diversifiable risk.

Unsystematic risk, also known as diversifiable risk, is the uncertainty associated with an individual stock or industry. For example, the surprise announcement that the company Lumber Liquidators (LL) had been selling hardwood flooring with dangerous levels of formaldehyde in 2015 is an example of unsystematic risk. It was risk that was specific to that company. Unsystematic risk can be partially mitigated through diversification.

A stock's beta will change over time as it relates a stock's performance to the returns of the overall market, which is a dynamic process.

Types of Beta Values

Beta Value Equal to 1.0

If a stock has a beta of 1.0, it indicates that its price activity is strongly correlated with the market. A stock with a beta of 1.0 has systematic risk. However, the beta calculation can’t detect any unsystematic risk. Adding a stock to a portfolio with a beta of 1.0 doesn’t add any risk to the portfolio, but it also doesn’t increase the likelihood that the portfolio will provide an excess return.

Beta Value Less Than One

A beta value that is less than 1.0 means that the security is theoretically less volatile than the market. Including this stock in a portfolio makes it less risky than the same portfolio without the stock. For example, utility stocks often have low betas because they tend to move more slowly than market averages.

Beta Value Greater Than One

A beta that is greater than 1.0 indicates that the security's price is theoretically more volatile than the market. For example, if a stock's beta is 1.2, it is assumed to be 20% more volatile than the market. Technology stocks and small cap stocks tend to have higher betas than the market benchmark. This indicates that adding the stock to a portfolio will increase the portfolio’s risk, but may also increase its expected return.

Negative Beta Value

Some stocks have negative betas. A beta of -1.0 means that the stock is inversely correlated to the market benchmark on a 1:1 basis. This stock could be thought of as an opposite, mirror image of the benchmark’s trends. Put options and inverse ETFs are designed to have negative betas. There are also a few industry groups, like gold miners, where a negative beta is also common.

Beta in Theory vs. Beta in Practice

The beta coefficient theory assumes that stock returns are normally distributed from a statistical perspective. However, financial markets are prone to large surprises. In reality, returns aren’t always normally distributed. Therefore, what a stock's beta might predict about a stock’s future movement isn’t always true.

A stock with a very low beta could have smaller price swings, yet it could still be in a long-term downtrend. So, adding a down-trending stock with a low beta decreases risk in a portfolio only if the investor defines risk strictly in terms of volatility (rather than as the potential for losses). From a practical perspective, a low beta stock that's experiencing a downtrend isn’t likely to improve a portfolio’s performance.

Similarly, a high beta stock that is volatile in a mostly upward direction will increase the risk of a portfolio, but it may add gains as well. It's recommended that investors using beta to evaluate a stock also evaluate it from other perspectives—such as fundamental or technical factors—before assuming it will add or remove risk from a portfolio.

Drawbacks of Beta

While beta can offer some useful information when evaluating a stock, it does have some limitations. Beta is useful in determining a security's short-term risk, and for analyzing volatility to arrive at equity costs when using the CAPM. However, since beta is calculated using historical data points, it becomes less meaningful for investors looking to predict a stock's future movements. Beta is also less useful for long-term investments since a stock's volatility can change significantly from year to year, depending upon the company's growth stage and other factors. Furthermore, the beta measure on a particular stock tends to jump around over time, which makes it unreliable as a stable measure.

What Is a Good Beta for a Stock?

Beta is used as a proxy for a stock's riskiness or volatility relative to the broader market. A good beta will, therefore, rely on your risk tolerance and goals. If you wish to replicate the broader market in your portfolio, for instance via an index ETF, a beta of 1.0 would be ideal. If you are a conservative investor looking to preserve principal, a lower beta may be more appropriate. In a bull market, betas greater than 1.0 will tend to produce above-average returns - but will also produce larger losses in a down market.

Is Beta a Good Measure of Risk?

Many experts agree that while Beta provides some information about risk, it is not an effective measure of risk on its own. Beta only looks at a stock's past performance relative to the S&P 500 and does not provide any forward guidance. It also does not consider the fundamentals of a company or its earnings and growth potential.

How Do You Interpret a Stock's Beta?

A Beta of 1.0 for a stock means that it has been just as volatile as the broader market (i.e., the S&P 500 index). If the index moves up or down 1%, so too would the stock, on average. Betas larger than 1.0 indicate greater volatility - so if the beta were 1.5 and the index moved up or down 1%, the stock would have moved 1.5%, on average. Betas less than 1.0 indicate less volatility: if the stock had a beta of 0.5, it would have risen or fallen just half-a-percent as the index moved 1%.

Beta: Definition, Calculation, and Explanation for Investors (2024)

FAQs

Beta: Definition, Calculation, and Explanation for Investors? ›

Beta—also known as the beta coefficient—is a measure of an investment's historical volatility compared to a market index (usually, the S&P 500). In other words, beta tells you how risky an investment is. The market index as a whole has a beta of 1.

What is the definition of beta calculation and explanation for investors? ›

Beta (β) is the second letter of the Greek alphabet used in finance to denote the volatility or systematic risk of a security or portfolio compared to the market, usually the S&P 500 which has a beta of 1.0. Stocks with betas higher than 1.0 are interpreted as more volatile than the S&P 500.

What is the explanation of beta value? ›

Beta is the volatility of a security or portfolio against its benchmark. It's a numerical value that signifies how much a stock price jumps around. The higher the value, the more the company tends to fluctuate in value.

What does a beta of 1.5 mean? ›

A beta value of 1.5 indicates that the price of the stock is more volatile than the market. In fact, it is assumed to be 50% more volatile than the market. Tech stocks and small caps tend to have high betas.

How do you explain portfolio beta? ›

Portfolio beta describes relative volatilityof an individual securities portfolio, taken as a whole, as measured by the individual stock betas of the securities making it up. A beta of 1.05 relative to the S&P 500 implies that if the S&P's excess return increases by 10% the portfolio is expected to increase by 10.5%.

How to do beta calculation? ›

Beta can be calculated by dividing the asset's standard deviation of returns by the market's standard deviation. The result is then multiplied by the correlation of the security's return and the market's return.

What is the formula for beta in CAPM? ›

The beta of an asset is calculated as the covariance between expected returns on the asset and the market, divided by the variance of expected returns on the market. The relationship between beta (β) and the expected market sensitivity is as follows: β = 0: No Market Sensitivity. β < 1: Low Market Sensitivity.

What is a good β value? ›

Values of beta should be kept small, but do not have to be as small as alpha values. Values between . 05 and . 20 are acceptable.

What are the 5 values of beta? ›

One of North America's oldest fraternities. Beta Theta Pi is the oldest of the three fraternities that formed the Miami Triad, along with Phi Delta Theta and Sigma Chi. The five core values espoused by Beta Theta Pi are cultivation of intellect, responsible conduct, mutual assistance, integrity and trust.

What if beta is less than 1? ›

A beta of 1 indicates that the security's price tends to move with the market. A beta greater than 1 indicates that the security's price tends to be more volatile than the market. A beta of less than 1 means it tends to be less volatile than the market.

What is a good beta number for a stock? ›

What Is a Good Beta Value for a Stock? Whether or not a stock has a “good†beta value depends on what you are looking for in a stock. If you're risk averse, then look for a stock with a beta value at or below 1.0. If you're looking for something more exciting, then consider a stock with a value of above 2.0.

What is considered a good beta number? ›

An hCG level between 6 and 24 mIU/mL is considered a gray area, and you'll likely need to be retested to see if your levels rise to confirm a pregnancy. In general, a baseline beta hCG level >100 mIU/mL is generally considered a good, positive result.

What does a beta of 0.7 mean? ›

Suppose, the beta ratio of a specific Mutual Fund is 0.7 or 70%; it means the fund is 0.3 or 30% less volatile than the benchmark index. A Beta ratio value of 1 indicates a lower risk and lower growth potential compared to ratios at par or above 1.

What is the best beta for a portfolio? ›

Beta is the risk-reward measurement that informs investors how sensitive their portfolio is to market changes. The market benchmark index sits at a 1.0, and for the lowest possible volatility in a portfolio, investors need to try to remain as close to a 1.0 as possible.

Can beta be negative? ›

A negative beta just means there is a negative covariance (and thus correlation) between your asset in question and your reference “market” portfolio. Perhaps the most intuitive example of this is your “market” being stocks, and adding bonds or gold to the portfolio.

How to increase the beta of a portfolio? ›

There are three basic ways to obtain beta exposure: buy an index fund, buy a futures contract, or buy some combination of both an index fund and futures contracts.

What does a beta of 0.5 mean? ›

If a stock had a beta of 0.5, we would expect it to be half as volatile as the market: A market return of 10% would mean a 5% gain for the company. Here is a basic guide to beta levels: Negative beta: A beta less than 0, which would indicate an inverse relation to the market, is possible but highly unlikely.

What does a β of 1.3 mean? ›

The market is described as having a beta of 1. The beta for a stock describes how much the stock's price moves compared to the market. If a stock has a beta above 1, it's more volatile than the overall market. For example, if an asset has a beta of 1.3, it's theoretically 30% more volatile than the market.

What is a beta How is it used to calculate the investor's required rate of return? ›

In simple words, Beta reflects the responsiveness of a security's return to changes in the market return. According to the Capital Asset Pricing Model (CAPM), the product of beta and market risk premium is added to the risk-free rate of return to calculate a required rate of return (r).

How do you interpret beta ratio? ›

The beta ratio is a sign of how well a filter controls particulate: for example, if one out of every two particles (> x mm) in the fluid pass through the filter, the beta ratio at x mm is 2, if one out of every 200 of the particles (> x mm) pass through the filter the beta ratio is 200.

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