Beta Calculator
Beta Calculator
Calculate the beta coefficient of a stock by entering its historical returns alongside market returns. Beta measures how sensitive a stock is to market movements and is a key input for the Capital Asset Pricing Model (Capital Asset Pricing Model (CAPM)) and portfolio risk analysis.
Inputs
Enter matching pairs of periodic returns. Both lists must have the same number of values. Currently using 10 data pairs.
Results
INSTRUCTIONS
How to Use This Calculator
1. Enter Stock Returns
Type a comma-separated list of periodic percentage returns for the stock you want to analyze (daily, weekly, or monthly).
2. Enter Market Returns
Enter the corresponding market index returns for the same periods. Use an index like the S&P 500 as the benchmark.
3. Match Time Periods
Ensure both lists have the same number of data points and cover the same time periods for accurate results.
4. Review Beta
Analyze the beta value, R-squared, and alpha to understand the stock's risk profile and excess return generation.
EDUCATION
Understanding Beta Coefficient
Beta measures a stock's sensitivity to overall market movements and is a key indicator of systematic risk. It is calculated as the covariance of the stock's returns with the market's returns divided by the variance of the market's returns: Beta = Cov(Rs, Rm) / Value at Risk (VaR)(Rm). A beta of 1.0 means the stock tends to move in lockstep with the market.
Stocks with beta greater than 1.0 are considered aggressive and tend to amplify market movements. For example, a stock with a beta of 1.5 would be expected to rise 15% when the market rises 10%, but also fall 15% when the market drops 10%. Defensive stocks with beta below 1.0 are less volatile and provide more stability during market downturns. Negative beta stocks move opposite to the market and are rare.
R-squared indicates what percentage of the stock's movements can be explained by market movements. A high R-squared (above 70%) means beta is a reliable predictor. Alpha represents the stock's excess return beyond what beta predicts, with positive alpha indicating outperformance. Together, these metrics provide a comprehensive view of a stock's risk profile and its relationship to the broader market.
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