How do you convert beta to standard deviation?
Henry Morales
Published Feb 17, 2026
Multiply the stock beta by the market standard deviation, which you calculated in Step 1. Divide the result of the calculation in Step 3 by the correlation between the stock and the market. This gives you the stock standard deviation.
How do you find standard deviation with beta and correlation?
Beta can also be calculated using the correlation method. 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 does a beta of 0.85 mean?
A fund’s beta is a measure of its sensitivity to market movements. The beta of the market is 1.00 by definition. Conversely, a beta of 0.85 indicates that the fund’s excess return is expected to perform 15% worse than the market’s excess return during up markets and 15% better during down markets.
How is beta value calculated?
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.
What is the difference between covariance correlation and beta?
Correlation standardizes co-movements, but there is no assumption of causation. Beta is used in the CAPM model to estimate expected returns but it doesn’t measure how much the stock will return but rather how volatile the stock return will most likely be in reference to the measurement market.
Is beta a better measure of risk than standard deviation?
Beta coefficient is a measure of an investment’s systematic risk while the standard deviation is a measure of an investment’s total risk. In a portfolio of investments, beta coefficient is the appropriate risk measure because it only considers the undiversifiable risk.
Is beta better than standard deviation?
Beta. While standard deviation determines the volatility of a fund according to the disparity of its returns over a period of time, beta, another useful statistical measure, compares the volatility (or risk) of a fund to its index or benchmark.
Is beta equal to correlation?
From the statistical definition above, an alternative definition of beta is that it equals the correlation between the stock’s returns and the market’s returns multiplied by the standard deviation of the stock’s returns and divided by the standard deviation of the market’s returns.