Return of strategy = Beta* Return of market + Alpha
Alpha is excess return generated by strategy after adjusting for beta.
Example 1: (but then some people say if some strategy did good this strategy did well due to market beta and not alpha)
Market Return = 12%
Strategy Return = 14.4%
Beta = 1.2
=> Alpha = 0
Hence, strategy doesn't add any value after adjusting for risk. The strategy just takes extra risk over market and is compensated for that. **
Example 2: (alpha is the return earned by strategy after adjusting for beta)
Market Return = 12%
Strategy Return = 18.0%
Beta = 1.2
=> Alpha = 3.6%
Hence, strategy generates extra 3.6% over market return (after adjusting for beta).
If a strategy has a beta of zero, then all the return is attributed to alpha. This strategy can be called market/beta neutral