Stock FAQs

what is the beta of stock a if the covariance of stock a with the market is .0137

by Jacynthe Will Published 3 years ago Updated 2 years ago

What is the difference between beta coefficient and variance of return?

In the Beta Coefficient, the two numbers are the market return and the stock return. You can learn how to calculate covariance here. In portfolio management theory, the Variance of Return is a measure of an individual stock’s risk by itself. To explain, all the non-market risks assets with the stock.

What is the expected return on beta of stock a?

Stock A has a beta of .68 and an expected return of 8.1 percent. Stock B has a beta of 1.42 and an expected return of 13.9 percent. Stock C has beta of 1.23 and an expected return of 12.4 percent.

How do you interpret the beta coefficient of a stock?

A company with a higher beta has greater risk and also greater expected returns. The beta coefficient can be interpreted as follows: β =1 exactly as volatile as the market. β >1 more volatile than the market. β <1>0 less volatile than the market. β =0 uncorrelated to the market. β <0 negatively correlated to the market.

How do you calculate beta and covariance?

Covariance is used to measure the correlation in price moves of two different stocks. The formula for calculating beta is the covariance of the return of an asset with the return of the benchmark, divided by the variance of the return of the benchmark over a certain period.

What is the beta of a stock?

Beta is a measure used in fundamental analysis to determine the volatility of an asset or portfolio in relation to the overall market. The overall market has a beta of 1.0, and individual stocks are ranked according to how much they deviate from the market.

How to calculate beta?

Beta could be calculated by first dividing the security's standard deviation of returns by the benchmark's standard deviation of returns. The resulting value is multiplied by the correlation of the security's returns and the benchmark's returns.

How to calculate beta of a security?

To calculate the beta of a security, the covariance between the return of the security and the return of the market must be known, as well as the variance of the market returns. Covariance measures how two stocks move together. A positive covariance means the stocks tend to move together when their prices go up or down.

Why are low beta stocks important?

Low-beta stocks pose less risk but typically yield lower returns. As a result, beta is often used as a risk-reward measure, meaning it helps investors determine how much risk they are willing to take to achieve the return for taking on that risk. A stock's price variability is important to consider when assessing risk.

What is the difference between positive and negative covariance?

A positive covariance means the stocks tend to move together when their prices go up or down. A negative covariance means the stocks move opposite of each other. Variance, on the other hand, refers to how far a stock moves relative to its mean.

What is variance in stocks?

Variance, on the other hand, refers to how far a stock moves relative to its mean. For example, variance is used in measuring the volatility of an individual stock's price over time. Covariance is used to measure the correlation in price moves of two different stocks.

What is the difference between high and low beta?

A stock that swings more than the market over time has a beta greater than 1.0. If a stock moves less than the market, the stock's beta is less than 1.0. High-beta stocks tend to be riskier but provide the potential for higher returns. Low-beta stocks pose less risk but typically yield lower returns. As a result, beta is often used as ...

How to calculate beta of a stock?

Here is a straightforward formula for calculating the Beta Coefficient of a Stock: 1 Obtain the stock’s historical share price data. 2 Obtain historical values of a market index, e.g., S&P 500. 3 Convert the share price values into daily return values using the following formula: return = (closing share price − opening share price)/opening share price. 4 Convert historical stock market index values in a similar way. 5 Align the share return data with index return such that there is a 1-on-1 correspondence between them. For share price return, there should be a corresponding index return. 6 Using the SLOPE function in a financial calculator to find the slope between both arrays of data and the resultant figure is Beta.

What does beta mean in stocks?

Beta can give you an estimate of the stock’s risk and some idea of market volatility. Ideally, the Beta will tell you the difference between a stock’s risk and the risk of an entire index market.

What is covariance in portfolio management?

To clarify, Covariance is a measurement of the directional relationship between two numbers. In the Beta Coefficient, the two numbers are the market return and the stock return. You can learn how to calculate covariance here. In portfolio management theory, the Variance of Return is a measure of an individual stock’s risk by itself.

What is the beta coefficient?

Generally, analysts regard the Beta Coefficient as a measure of systematic or “general market” risk. Analysts often use the mathematical symbol β to represent the Beta in calculations. To explain, systematic is the level of risk or volatility of equity in the entire market or index.

Why do analysts use the beta coefficient?

Analysts examine the Beta Coefficient, or Beta of stock, because the Beta measures risk and volatility. Specifically, the Beta can give you an estimate of the stock’s risk and some idea of market volatility. Ideally, the Beta will tell you the difference between a stock’s risk and the risk of an entire index market.

Why is beta a limited tool?

Hence, the Beta is a limited tool because it only measures some risks associated with individual stocks or indexes. However, a rough estimate of risk is better than no estimate of risk.

What does a value of 5 mean?

A value of 1 means it moved with the market, a value of 2 means it moved up and down with the market but twice as much, and a value of .5 means it moved up and down half as much as the market did. Strategic Beta for Funds & ETFs.

Why is equity beta called equity beta?

It is also commonly referred to as “equity beta” because it is the volatility of an equity based on its capital structure. Capital Structure Capital structure refers to the amount of debt and/or equity employed by a firm to fund its operations and finance its assets. A firm's capital structure.

What is asset beta?

Unlevered Beta / Asset Beta Unlevered Beta (Asset Beta) is the volatility of returns for a business, without considering its financial leverage. It only takes into account its assets. , on the other hand, only shows the risk of an unlevered company relative to the market.

What is leveraged beta?

Levered beta, also known as equity beta or stock beta, is the volatility of returns for a stock, taking into account the impact of the company’s leverage from its capital structure. It compares the volatility (risk) of a levered company to the risk of the market. Levered beta includes both business risk. Systemic Risk Systemic risk can be defined ...

How to calculate the weekly return of a stock?

Follow these steps to calculate β in Excel: 1 Obtain the weekly prices of the stock 2 Obtain the weekly prices of the market index (i.e. S&P 500 Index) 3 Calculate the weekly returns of the stock 4 Calculate the weekly returns of the market index 5 Use the Slope function and select the weekly returns of the market and the stock, each as their own series 6 Congrats! The output from the Slope function is the β

Is a company with a 0f 0.79 more volatile than the market?

Also, a company with a β of 1.30 is theoretically 30% more volatile than the market. Similarly, a company with a β 0f 0.79 is theoretically 21% less volatile than the market.

What does a beta mean in stocks?

Beta, which has a value of 1, indicates that it exactly moves in accordance with the market value. A higher beta indicates that the stock is riskier, and a lower beta indicates that the stock is less volatile as compared to the market. Mostly Betas generally fall between the values of range 1.0 to 2.0.

What is beta in stock market?

Beta is a measure of the volatility of the stock as compared to the overall stock market. Overall Stock Market Stock Market works on the basic principle of matching supply and demand through an auction process where investors are willing to pay a certain amount for an asset, and they are willing to sell off something they have at a specific price.

How to calculate beta?

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

What is beta in capital asset pricing model?

Beta is used in the formulae of capital asset pricing model (CAPM), which is used to calculate the expected return. Expected Return The Expected Return formula is determined by applying all the Investments portfolio weights with their respective returns and doing the total of results.

What is the correlation between XYZ and NASDAQ?

Based on data over the past three years, the correlation between the firm XYZ and NASDAQ is 0.82. XYZ has a standard deviation of returns of 22.12%, and NASDAQ has a standard deviation of returns of 22.21%.

What is beta coefficient?

The Beta coefficient is a measure of sensitivity or correlation of a security. Marketable Securities Marketable securities are unrestricted short-term financial instruments that are issued either for equity securities or for debt securities of a publicly listed company. The issuing company creates these instruments for the express purpose ...

What is the benefit of using beta coefficient?

Advantages of using Beta Coefficient. One of the most popular uses of Beta is to estimate the cost of equity (Re) in valuation models. The CAPM estimates an asset’s Beta based on a single factor, which is the systematic risk of the market.

What are the drawbacks of beta?

The largest drawback of using Beta is that it relies solely on past returns and does not account for new information that may impact returns in the future. Furthermore, as more return data is gathered over time, the measure of Beta changes, and subsequently, so does the cost of equity.

What is the probability of stock B going into recession?

The probability of the economy being normal is 80 percent and the probability of a recession is 20 percent.

Is Kali's stock cyclical?

Kali's Ski Resort stock is quite cyclical. In a boom economy, the stock is expected to return 30 percent in comparison to 12 percent in a normal economy and a negative 20 percent in a recessionary period. The probability of a recession is 15 percent while it is 30 percent for a booming economy.

What is the probability of stock B going into recession?

The probability of the economy being normal is 80 percent and the probability of a recession is 20 percent.

What is the probability of a recession in stock A?

The probability of the economy being normal is 75 percent with a 25 percent probability of a recession.

What Is Beta?

  • A stock that swings more than the market over time has a beta greater than 1.0. If a stock moves less than the market, the stock's beta is less than 1.0. High-beta stocks tend to be riskier but provide the potential for higher returns. Low-beta stocks pose less risk but typically yield lower returns. As a result, beta is often used as a risk-reward...
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How to Calculate Beta

  • To calculate the beta of a security, the covariance between the return of the security and the return of the market must be known, as well as the varianceof the market returns. Beta=CovarianceVariancewhere:Covariance=Measure of a stock’s return relativeto that of the m…
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Beta Examples

  • Beta could be calculated by first dividing the security's standard deviation of returns by the benchmark's standard deviation of returns. The resulting value is multiplied by the correlationof the security's returns and the benchmark's returns.
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The Bottom Line

  • Betas vary across companies and sectors. Many utility stocks, for example, have a beta of less than 1. Conversely, many high-tech stocks on the Nasdaq have a beta greater than 1, offering the possibility of a higher rate of return, but also posing more risk. It's important that investors distinguish between short-term risks (where beta and price volatility are useful) and long-term ri…
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Examples of Beta

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High β– A company with a β that’s greater than 1 is more volatile than the market. For example, a high-risk technology company with a β of 1.75 would have returned 175% of what the market returned in a given period (typically measured weekly). Low β– A company with a β that’s lower than 1 is less volatile than the whole mar…
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Calculation

  • Below is an Excel β calculator that you can download and use to calculate β on your own. β can easily be calculated in Excel using the Slope function. Follow these steps to calculate β in Excel: 1. Obtain the weekly prices of the stock 2. Obtain the weekly prices of the market index (i.e., S&P 500 Index) 3. Calculate the weekly returns of the stock 4. Calculate the weekly returns of the market i…
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What Are Equity Beta and Asset Beta?

  • Levered beta, also known as equity beta or stock beta, is the volatility of returns for a stock, taking into account the impact of the company’s leverage from its capital structure. It compares the volatility (risk) of a levered company to the risk of the market. Levered beta includes both business risk and the risk that comes from taking on debt. It is also commonly referred to as “eq…
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Levered Beta vs Unlevered Beta

  • Levered beta (equity beta) is a measurement that compares the volatility of returns of a company’s stock against those of the broader market. In other words, it is a measure of risk, and it includes the impact of a company’s capital structure and leverage. Equity beta allows investors to assess how sensitive a security might be to macro-market risks. For example, a company with a …
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Calculation of Levered Beta

  • There are two ways to estimate the levered beta of a stock. The first, and simplest, way is to use the company’s historical β or just select the company’s beta from Bloomberg. The second, and more popular, way is to make a new estimate for β using public company comparables. To use the comparables approach, the β of comparable companies is taken from Bloomberg and the un…
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Interpreting Beta

  • A security’s β should only be used when its high R-squared value is higher than the benchmark. The R-squared value measures the percentage of variation in the share price of a security that can be explained by movements in the benchmark index. For example, a gold ETF will show a low β and R-squared in relation to a benchmark equity index, as gold is negatively correlated with equit…
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Related Readings

  • Thank you for reading CFI’s guide to beta (β) of an investment security. To continue learning and advancing your career these additional resources will be helpful: 1. Types of Valuation Multiples 2. Analysis of Financial Statements 3. Leverage Ratios 4. Valuation Methods
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