Alpha Calculator

Measure return earned above what the asset’s market risk alone would justify.

About Alpha Calculator

Alpha is what remains after stripping out the return that market exposure alone would have produced. A high absolute return with a high beta can still be negative alpha, because the benchmark for that risk was higher. Alpha separates skill from leverage: buying more of the market raises returns but never produces alpha.

Formula

Alpha

Alpha = portfolio return − (risk-free rate + beta × (market return − risk-free rate))

alpha: Return unexplained by market exposure
market risk premium: Market return above the risk-free rate

Worked example

With the default values below, Alpha Calculator returns Alpha of 2.500%. Change any input above and every figure here is recalculated in your browser.

Inputs used

Portfolio returnaccepts 0–100 %: 12 %
Risk-free rateaccepts 0–100 %: 4 %
Market returnaccepts 0–100 %: 9 %
Portfolio betaaccepts -3–5: 1.1

Results

Alpha: 2.500%
Return the Model Expected: 9.500%
Market Risk Premium: 5.000%
Interpretation: Strong positive alpha — returns well above the risk taken

Step by step

1Values used
2Alpha
3Alpha= 2.500
4Return the Model Expected= 9.500
5Market Risk Premium= 5.000
6Interpretation= Strong positive alpha — returns well above the risk taken

Assumptions and limits

The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
This is an estimate for general information and not professional financial, tax or legal advice. See the full disclaimer for the limits that apply to this kind of calculator.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How is Alpha calculated?

Alpha = portfolio return − (risk-free rate + beta × (market return − risk-free rate)) Alpha is what remains after stripping out the return that market exposure alone would have produced. A high absolute return with a high beta can still be negative alpha, because the benchmark for that risk was higher.

Why does Alpha matter?

Alpha separates skill from leverage: buying more of the market raises returns but never produces alpha.

What values do I need to enter?

This calculator takes 4 inputs: Portfolio return, Risk-free rate, Market return, Portfolio beta. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.