A stock has a correlation with the market of 0.46. The standard deviation of the market is 29%, and the standard deviation of the stock is 37%. What is the stock's beta?

Beta = 0.586896 rounded off to 0.59

Explanation:

A beta is a measure of the systematic risk of the stock. The systematic risk is the risk associated with the stock which cannot be diversified and is due to the market factors. This is why it is also known as the market risk. The beta of a stock can be calculated using the correlation of a stock with the market and the standard deviation of the stock and the market. The formula for beta is,

Beta = Correlation of stock with market * (SD Stock / SD market)

Where,

SD refers to the standard deviation

Beta = 0.46 * (0.37 / 0.29)

Beta = 0.586896 rounded off to 0.59

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