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? ›

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 helps investors understand whether a stock moves in the same direction as the rest of the market.

How do you calculate beta in investment? ›

How to calculate a stock's beta. A stock's beta is equal to the covariance of the stock's returns and its benchmark index's returns over a particular time period, divided by the variance of the index's returns over that period. As a formula, β = covariance(stock returns, index returns) / variance(index returns).

What does beta mean for investors? ›

Beta is a measure of a stock's volatility in relation to the overall market. By definition, the market, such as the S&P 500 Index, has a beta of 1.0, and individual stocks are ranked according to how much they deviate from the market. A stock that swings more than the market over time has a beta above 1.0.

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%.

What is the formula for calculating beta is given? ›

There are two ways to determine beta. The first is to use the formula for beta, which is calculated as the covariance between the return (ra) of the stock and the return (rb) of the index divided by the variance of the index over three years.

How to calculate beta ratio? ›

Calculation of a Single Beta Ratio for Length of Test

A single beta value for the duration of the test is derived by summing the average upstream particle counts from each of the 10 time frames, and dividing this total by the sum of the average downstream particle counts from each of the 10 time frames.

Which stock has the highest beta? ›

High Beta Stocks
S.No.NameCMP Rs.
1.Lloyds Metals730.75
2.Esab India5838.85
3.Zen Technologies1008.40
4.Action Const.Eq.1444.00
23 more rows

How much beta is good for a stock? ›

Theoretically, the beta value of a benchmark index is considered to be 1. The risk factor of securities is evaluated around this number, wherein a stock having a beta coefficient higher than 1 is deemed to be a risky investment venture.

What is a bad beta in stocks? ›

A beta greater than 1 indicates a stock's price swings more wildly (i.e., more volatile) than the overall market. A beta of less than 1 indicates that a stock's price is less volatile than the overall market.

What is the average beta of the S&P 500? ›

Beta (β) is the second letter of the Greek alphabet used to measure the volatility of a security or portfolio compared to the S&P 500 which has a beta of 1.0.

What beta is considered high risk? ›

High-beta stocks (>1.0) are theoretically riskier but provide the potential for higher returns; low-beta stocks (<1.0) theoretically pose less risk but also lower potential returns. For example, if hypothetical stock XYZ has a beta of 1.5, then we would expect XYZ to move, on average, 50% more than the market.

What is the simple definition of beta? ›

Definition: Beta is a numeric value that measures the fluctuations of a stock to changes in the overall stock market. Description: Beta measures the responsiveness of a stock's price to changes in the overall stock market.

How to calculate beta example? ›

To calculate the beta value of a stock, a spreadsheet program is useful for calculating the covariance of the stock and index returns, then dividing that by the variance of the index. If a stock returned 8% last year and the index returned 5%, a rough estimate of beta is: 8 / 5 = 1.6.

Do Treasury bills have a beta of zero? ›

Answer and Explanation: U.S. Treasury bills are the government bonds that do not carry any risk factor that is free of default risk with themselves and they are highly liquid securities. Therefore, U.S. Treasury bills that are held to maturity have a beta of zero.

How do I calculate my portfolio beta? ›

To calculate the beta of a portfolio, the beta of each stock is multiplied by its proportional value in the portfolio, and these products are then summed. Stocks with a beta greater than one are more volatile than the market, while those with a beta less than one are less volatile.

What is the formula for the beta of a portfolio asset? ›

The formula for calculating portfolio beta involves the cumulative sum of individual stock beta values multiplied by their respective weights within the portfolio.

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.

How to calculate portfolio beta in Excel? ›

To calculate beta in Excel:
  1. Download historical security prices for the asset whose beta you want to measure.
  2. Download historical security prices for the comparison benchmark.
  3. Calculate the percent change period to period for both the asset and the benchmark. ...
  4. Find the variance of the benchmark using =VAR.

How to calculate alpha and beta of a stock? ›

The alpha formula derives from the Capital Asset Pricing Model (CAPM), with the CAPM formula for alpha reading as Alpha= r - Rf - beta(Rm - Rf). Alpha can be positive or negative. Beta, the volatility of a stock in comparison to the overall market, is part of the formula to calculate an investment's expected returns.

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