You need to use the variance and covariance functions in Excel
1. Calculate the covariance of the stock returns with respect to an index
2. Calculate the variance of the index
3. Divide the first number by the second.
See the related link for a spreadsheet
Using Excel: plot the benchmark returns against the stock returns. add a linear trendline and display the equation Beta is the slope of the trendline. Examine the spreadsheet in the related link for a worked example
To calculate the portfolio beta by weighting individual stock's betas, you would multiply each stock's beta by its weight in the portfolio, and then sum up these values to get the overall portfolio beta.
calculate the effective return (mean return minus the risk free rate) divided by the beta. the excel spreadsheet in the related link has an example.
Check out these websites: http://faculty.babson.edu/academic/Beta/CalculateBeta.htm http://www.money-zine.com/Investing/Stocks/Stock-Beta-and-Volatility/
You'll need a spreadsheet like Excel. Do the following. 1) Get percentage daily returns for the stock between two dates (I suggest every day for a year). You can get this historical data from Yahoo Finance 2) Pick a benchmark index 3) Get percentage daily returns for the index between the two dates as well 4) Calculate the covariance of the stock with respect to the index and divide by the variance of the stock [the two excel functions you'll need are covariance.p() and variance.p() ] Go to the related link below for a spreadsheet to do this.
The Beta of a stock is always dynamic.
Beta is calculated by comparing the returns of a stock to the returns of a benchmark index, typically the S&P 500. The formula for beta is: [ \beta = \frac{\text{Covariance}(\text{Stock Returns}, \text{Market Returns})}{\text{Variance}(\text{Market Returns})} ] For example, if a stock has a covariance with the market of 0.02 and the variance of the market returns is 0.01, the beta would be calculated as 0.02 / 0.01 = 2. This indicates that the stock is twice as volatile as the market.
The beta value of a stock measures its volatility relative to the overall market, typically represented by a benchmark index like the S&P 500. To calculate beta, you can use historical price data for both the stock and the market index, applying the formula: Beta = Covariance(Returns of the stock, Returns of the market) / Variance(Returns of the market). Alternatively, financial platforms and tools often provide beta values directly, reflecting the stock's historical performance over a specified period.
First decide what the benchmark index is (i.e the FTSE, DOW Jones, commodities index etc). Then plot the benchmark returns against the stock returns. Then add a straight line of best fit. The beta is the slope of the trendline Check out the Excel spreadsheet in the related link.
Beta measures a stock's volatility (the swings up and down in price). The market as a whole has a beta of 1.0, but each stock is determined a beta value from a history of it's stock movements. Riskiness equates to the stock losing value and high beta stocks are more prone to falling faster.
You can use the slope function on excel which takes a cell range representing the Y-Variable and another cell range representing the X-Variables. For instance the Y-Variable may be a column of excess returns for a stock and the X-Variable maybe the column of risk premia.
To calculate the variance-covariance matrix for daily market prices of stocks in Excel, first, gather the daily prices of the stocks in a spreadsheet. Convert these prices into daily returns by using the formula: ( \text{Return} = \frac{\text{Price Today} - \text{Price Yesterday}}{\text{Price Yesterday}} ) for each stock. Once you have the daily returns, use the Excel function =COVARIANCE.P(array1, array2) to calculate the covariances between each pair of stock returns, and =VAR.P(array) for the variances of individual stock returns. Finally, organize these values into a matrix format to represent the variance-covariance matrix.