## What is Equity Beta?

**Equity Beta **measures the volatility of the stock to the market, i.e., how sensitive is the stock price to a change in the overall market. It compares the volatility associated with the change in prices of a security. Equity Beta is commonly referred to as levered beta, i.e., a beta of the firm, which has financial leverage.

- It is different from the asset beta of the firm as the same changes with the capital structure of the company, which includes the debt portion. Asset beta is also known as unlevered beta” and is the beta of the firm which has zero debt.
- If the firm has zero debt, the asset beta and equity beta are the same. As the debt burden of the company increases, equity beta increases.
- Equity beta is one of the major components of the CAPM model for evaluating the expected return of the stock.

### Interpretations of Equity Beta

Below mentioned are some of the scenarios in which beta can be interpreted in order to analyze the company’s performance as compared to its peers and the sensitivity analysis of the same with reference to the benchmark index used in its calculation.

**Beta < 0 –**The underlying asset moves in the opposite direction to a change in the benchmark index. Example: an inverse exchange-traded fund**Beta = 0 –**The movement of the underlying asset is not correlated to the movement of the benchmark. example: fixed yield assets like government bonds, treasury bills, etc**0<Beta<1 –**The movement of the underlying asset is in the same direction but less than the benchmark. example: stable stocks like FMCG industries or consumer goods**Beta =1**-The movement of the underlying asset exactly matches the benchmark index. It is a representative stock of the benchmark index showing correct returns as compared to the market volatility.**Beta >1 –**The movement of the underlying asset is in the same direction but more than the movement in the benchmark index. Example: such stocks are very much influences with the day to day market news and swing very fast due to heavy trading happening in the stock, which makes it volatile and attractive to traders.

### Equity Beta Formula

Below are the formulas for Equity Beta.

**Equity Beta Formula = Asset Beta ( 1 + D/E( 1-Tax )**

**Equity Beta Formula = Covariance ( Rs,Rm) / Variance (Rm)**

where

- Rs is the return on a stock,
- Rm is a return on market and cov (rs, rm) is the covariance
- Return on stock = risk-free rate + equity beta (market rate – risk-free rate)

### Top 3 Methods to Calculate Equity Beta

Equity beta can be calculated in the following three methods.

#### Method #1 – Using the CAPM Model

An asset is expected to generate at least the risk-free rate of return from the market. If the beta of the stock equals to 1, this means the returns are with a par of the average market returns.

**Steps to calculate Equity Beta using the CAPM Model:**

**Step 1:** Find out the risk-free return. It is the rate of return where the investor’s money is not at Risk-like treasury bills or the government bonds. Let’s assume its 2%

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**Step 2:** Determine the expected rate of return for the stock and the market/index to be considered.

**Step 3:** Input the above numbers in the CAPM Model, as mentioned above, to derive at the beta of the stock.

**Example**

We have the following data as: exp rate of return = 7% , market rate of return = 8% & risk free rate of return = 2%. calculate beta using the CAPM model.

- Exp Rate of Return: 7%
- Market Rate of Return: 8%
- Risk Free Rate of Return: 2%

**Solution: **

As per CAPM Model, exp rate of return on stock = risk-free rate + beta (market rate – risk-free rate)

Therefore, beta = (exp rate of return on stock – risk-free rate)/(market rate–risk-free rate)

So, the calculation of beta is as follows –

Hence Beta = (7%-2%)/ (8%-2%) = 0.833

#### Method #2 – Using Slope Tool

Let’s calculate the equity beta of Infosys stock using the slope.

**Steps to calculate Equity Beta using Slope –**

**Step 1:** Download the historical data for Infosys from the stock exchange website for the past 365 days and plot the same in an excel sheet in column b with dates mentioned in column a.

**Step 2:** Download the nifty 50 index data from the stock exchange website and plot the same in next column c

**Step 3:** Take only the closing prices for both the data as above

**Step 4:** Calculate the daily returns in % for Infosys and nifty both till the last day in column d and column e

**Step 5:** Apply the formula: =slope (d2:d365,e2:e365) to get the beta value.

**Example **

Calculate beta by regression and slope tool both using the below-mentioned table.

Date |
Stock Price |
Nifty |
% change in Stock Price |
% change in Nifty |

27-May-19 | 708.1 | 11,924.75 | -0.16% | 0.68% |

24-May-19 | 709.2 | 11,844.00 | 1.16% | 1.60% |

23-May-19 | 701.05 | 11,657.00 | -1.23% | -0.68% |

22-May-19 | 709.75 | 11,737.00 | 0.06% | 0.24% |

21-May-19 | 709.3 | 11,709.00 | 1.33% | 0.08% |

Beta by regression method –

- Beta = COVAR(D2:D6,E2:E6)/VAR(E2:E6)
- =0.64

By Slope Method –

- Beta = Slope(D2:D6, E2:E6)
- =0.80

#### Method #3 – Using Unlevered Beta

Equity Beta is also known as a levered beta since it determines the level of firms debt to equity. It’s a financial calculation that indicates the systematic risk of a stock used in the CAPM model.

**Example**

Mr. A analyses a stock whose unlevered beta is 1.5, debt-equity ratio of 4%, and a tax rate =30%. Calculate the levered beta.

- Beta: 1.5
- Debt-Equity Ratio: 4%
- Tax Rate: 30%

**Solution:**

Calculation of levered beta is as follows –

- Levered Beta Formula= Unlevered Beta ( 1+ (1-Tax)*D/E Ratio)
- = 1.5(1+(1-0.30)*4%
**= 1.542**

### Conclusion

Hence the equity beta of the company is a measure of how sensitive is the stock price to changes in the market as well as the macroeconomic factors in the industry. It’s a number describing how the return of an asset is predicted by a benchmark set compared against it.

- It helps us to analyze in a broad way how the stock returns can deviate due to changes in the micro & macro environment.
- It has some criticism as well since the past performance of the company does not predict future performance, and therefore beta is not the only measure of risk. However, it can be used as a component while analyzing the company’s business performance and future strategical plans & policies that will impact the growth prospects of the same.

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