## About CAPM Beta Calculator (Formula)

The CAPM Beta Calculator is a tool used in finance to assess the risk of an individual stock or portfolio in relation to the overall market. The Capital Asset Pricing Model (CAPM) provides a framework for understanding the relationship between an asset’s expected return, its risk (measured by beta), and the overall market’s risk and return.

The formula to calculate the beta of a stock or portfolio using CAPM is as follows:

**Beta (β) = Covariance(R_stock, R_market) / Variance(R_market)**

Where:

- Beta (β): Measures the sensitivity of an asset’s returns to changes in the market returns. A beta of 1 indicates the asset moves in line with the market, while a beta greater than 1 indicates higher volatility, and a beta less than 1 indicates lower volatility than the market.
- Covariance(R_stock, R_market): Measures the degree to which the stock’s returns move in relation to the market’s returns.
- Variance(R_market): Measures the dispersion of the market’s returns.

The formula essentially quantifies the asset’s volatility in relation to the market. A beta greater than 1 implies the asset is more volatile than the market, while a beta less than 1 suggests it’s less volatile.

For example, if a stock has a beta of 1.2, it is theoretically 20% more volatile than the market. If the market increases by 10%, this stock would be expected to increase by around 12%.

The CAPM Beta Calculator is essential for portfolio managers, investors, and analysts to assess an asset’s risk and to construct diversified portfolios. By understanding an asset’s beta, investors can make informed decisions about risk exposure and potential returns within their investment strategies.