What is Alpha?
Alpha (α) in finance is a measure of the excess return on an investment or portfolio above the benchmark return.
Table of Contents
What is the Definition of Alpha in Finance?
Alpha (α) refers to the incremental return achieved by fund managers in excess of benchmark returns.
If an investment strategy has generated alpha, the investor has “beat the market” with abnormal returns above that of the broader market.
Most often, the benchmark rate used to compare returns against is the S&P 500 market index.
Alpha (α) is a measure of an investment’s performance compared to a benchmark—such as a market index (S&P 500)—over a stated period.
In short, the concept of alpha reflects the “excess return” that an investment firm, like a hedge fund, generates above the expected return.
The expected return is estimated using the capital asset pricing model (CAPM), which states that the return on a security or a portfolio is a function of its systematic risk, or beta.
- Positive Alpha (α) ➝ The return on investment outperformed the benchmark rate on a risk-adjusted basis.
- Negative Alpha (α) ➝ The return on investment underperformed compared to the benchmark index.
If the investment manager of a fund can consistently generate positive alpha, the investor (and firm) is evidently skilled at selecting profitable investments and managing a portfolio.
Alpha Formula
In general, the formula for alpha can be explained as the difference between the return of an investment portfolio (e.g. stocks, bonds) and a benchmark return (e.g. S&P).
Alternatively, the difference between the expected return from the capital asset pricing model (CAPM) – i.e. the cost of equity – and the portfolio returns is known as “Jensen’s Alpha”.
The formula to calculate alpha using Jensen’s measure is as follows.
Where:
- Rp ➝ Return of Portfolio (or Investment)
- Rf ➝ Risk-Free Rate
- β ➝ Beta
- Rm ➝ Market Return