# How To Calculate The Beta Coefficient For A Single Stock

He graduated from the University of Maryland, where he majored in journalism and American studies. To get a higher return in the investment world you have to take more risk. Two tools that help the investor balance the two are the capital allocation line and the efficient frontier. Sometimes knowing the value of something is not as easy as assigning it the cost you paid for it.

If one is to estimate that the market will go up 1% over the next year, he would expect AAPL stock to do the same because its Beta is nearly 1. Alternatively, if the market was expected to go down 1%, one would also expect AAPL stock to go down the same amount. If there is a finite data set of N values of security and portfolio actual return, the beta coefficient can be estimated using the formula above. A negative beta is not highlighting the fact that there is an absence of risk, but it means that the investment offers a hedge against an unforeseen market downturn. However, if the market continues to rise, a negative-beta coefficient strategy is losing money through opportunity risk and also inflation risk .

## Advantages And Disadvantages Of Beta

When the market rises, the negative beta tends to fall down, and when the market falls, the negative-beta will tend to rise. For instance, beta can be used to calculate an asset’s expected return on investment, according to its volatility in relation to the market. As such, beta is not used to measure the risk of investing in a particular asset alone. Instead, it measures the amount of risk that the investment would add to an existing portfolio. For all U.S. assets, a specific stock’s beta coefficient generally measures its volatility against the S&P 500 index. For example if a stock generally moves five percent for every one percent change in the S&P 500, it has a beta coefficient of 5. This particular stock might offer a greater return than those with lower betas, but it poses a much higher risk.

- Thus, in regression analysis, the beta coefficient is meant to be the same for the period being sampled.
- The beta of the market equals one, so portfolio or stock betas close to one will emulate the market’s average return.
- For multiple regression these rules are not that straightfoward, but for Social Sciences they seem to hold (also following Cohen’s d suggestions).
- Unlike other accounting systems which focus on departments or divisions, responsibility accounting tracks the performance of each individual.

Beta is a measure of the volatility—or systematic risk—of a security or portfolio compared to the market as a whole. Beta is used in the capital asset pricing model , which describes the relationship between systematic risk and expected return for assets . Standard deviation is the most widely used statistical measure of spread which essentially reports a fund’s volatility. The volatility of a single stock is commonly measured by its standard deviation of returns over a recent period. Higher standard deviations are generally associated with more risk. If you scale the standard deviation of one market against another, you obtain a measure of relative risk. The funds with standard deviations of their annual returns greater than 16.5 are more volatile than average.

### Create Random Data With A Condition A + B ‘outcome’ And Gene1 ‘exposure’

The change in price of an option relative to the change in the price of the underlying asset is not constant. For example, if one purchased a put option on the S&P 500, the beta would vary as the price of the underlying index changed. Beta thus measures the contribution of an individual investment to the risk of the market portfolio that was not reduced by diversification. It does not measure the risk what is beta coefficient when an investment is held on a stand-alone basis. Coskewness, in statistics, measures how much three random variables change together, and is used in finance to analyze security and portfolio risk. 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.

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, primarily used in the capital asset pricing model , is a measure of the volatility–or systematic risk–of a security or portfolio compared to the market as a whole. The expected rate of return for the stock market should be determined for the market in which the individual stock is trading. For example, in the United States the S&P 500 index is normally used as the expected rate of return for the stock market. In Europe the MSCI EAFE would be used, and other foreign markets would have their own indexes. If we consider all investable assets in existence, we would be comparing the whole market against itself, meaning that the value of beta would be precisely 1. But when comparing a certain financial instrument against the market, we will most likely get a beta higher or lower than 1. A beta higher than 1 indicates that the asset is not only volatile but also highly correlated with the market. In contrast, low or negative values of beta may suggest that an investment has lower volatility than the market, or that its price movements aren’t highly correlated with the market.

When the value of an asset changes daily, another method needs to be used to calculate the value. You will learn about the basic steps to follow to find the fair value of a company’s equity shares. Generally in interpreting a regression equation, it makes no scientific sense to speak of the variance due to a given predictor. Measures of variance depend on the order of entry in step-wise regression and on the correlation between the predictors. Also the semi-partial correlation or unique variance has little interpretative utility. Add beta coefficient to one of your lists below, or create a new one.

In general, high beta means high risk, but also offers the possibility of high returns if the stock turns out to be a good investment. A negative beta coefficient, on the other hand, means the investment moves opposite of market direction. The investing term beta coefficient refers to a measure of an asset’s volatility relative to a benchmark. Betas are frequently calculated for individual stocks using a benchmark that is representative of the overall stock market. 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.

## How To Average Likert Scales

One of the most popular uses of Beta is to estimate the cost of equity in valuation models. The CAPM estimates an asset’s Beta based on a single factor, which is the systematic risk of the market. The cost of equity derived by the CAPM reflects a reality in which most investors have diversified portfolios from which unsystematic risk has been successfully diversified away. 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.

Therefore, standardized coefficients are unitless and refer to how many standard deviations a dependent variable will change, per standard deviation increase in the predictor variable. Expected risk and expected return are the two key determinants of share/security prices. In general, the riskier an investment, the greater the expected average return. Practically speaking, risk is how likely you are to lose money, and how much money you could lose. Statistically, the best way to measure this is the variability in the price of a fund over time.

## Beta Coefficient Example

Will holds a Bachelor of Arts in literature and political science from Ohio University. He received his Master of Arts in economics at The New School for Social Research. He earned his Master of Arts and his Doctor of Philosophy in English literature at New York University.