If a company's beta were to double, would its return double? If investors risks aversion were to increase, would the risk premium on a high beta stock increase more or less than that on a low beta stock?
According to the wikipedia
The Beta coefficient, is a measure of volatility of a stock or portfolio in relation to the rest of the financial market.
An asset with a beta of 0 means that its price is not at all correlated with the market; that asset is independent. A positive beta means that the asset generally follows the market. A negative ...
Response discusses company's beta