What is alpha in finance?

Plain-English meaning, the formula, a worked example and the mistakes to avoid.

The short answerAlpha is the return an investment earns above what its risk would predict. Positive alpha means the investment did better than expected for the market risk it carried. Negative alpha means it did worse.

How it works

Alpha is measured against a benchmark. In the most common version, called Jensen's alpha, you first work out the return you would expect given the investment's beta, using CAPM. You then subtract that expected return from the actual return. What is left is alpha.

Fund managers present alpha as evidence of skill. Many investors treat it with caution, because past alpha often does not repeat, and because fees reduce what the investor actually keeps.

Alpha = Actual return − [Risk-free rate + Beta × (Market return − Risk-free rate)]

A simple example

A fund returned 12% last year. The risk-free rate was 4%, the market returned 10% and the fund's beta is 1.1. The expected return is 4% + 1.1 × (10% − 4%) = 10.6%. Alpha = 12% − 10.6% = 1.4%.

How it is used

  • Judging whether a fund manager added value beyond simply taking market risk.
  • Comparing funds that take different amounts of risk.
  • Separating skill from luck, over long periods.

Common mistakes

  • Judging alpha from a short period. Luck can look like skill.
  • Using the wrong benchmark.
  • Ignoring fees.
  • Assuming positive past alpha will continue.

Questions

What is the difference between alpha and beta?

Beta shows how much an investment moves with the market. Alpha shows the return left over after allowing for that market risk. Beta is exposure to the market. Alpha is out-performance or under-performance.

Is alpha the same as excess return?

Not exactly. Excess return is the return above the risk-free rate or a benchmark. Alpha also adjusts for the investment's beta.

Keep learning

For education only. This page is general information. It is not financial, investment, legal or tax advice, and it does not take your situation into account.

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