In general, it is assumed that standard deviation of past returns is a perfect proxy for the future risk associated with a security.
Furthermore, the Capital Asset Pricing Model assumes that all investors:
* maximize their economic utilities
* are rational and risk-averse
* diversify across a range of investments
* cannot influence or set prices
* can lend and borrow unlimited amounts at a risk-free rate of interest
* trade without transaction or taxation costs
* deal with securities that can be divided into small parcels
* have access to information that is readily available to all investors