Factor Investing Calculator
Factor return decomposition.
Calculate expected portfolio return using a Fama-French style factor model from market return, beta, and small/value factor exposures.
What this tool does
Factor investing models expected returns by breaking down performance into distinct sources: broad market movement, value exposure, and size exposure. This calculator takes your portfolio's sensitivity to each factor—its beta, value loading, and size loading—along with the historical premiums associated with value and size investing, and estimates what portion of expected return comes from each source. The result shows your portfolio's total expected return split into contributions from market beta, value factor exposure, size factor exposure, and alpha. Market return and your portfolio's market beta typically drive the largest portion of the result, while value and size loadings shape returns when those factors are active. This calculation illustrates how diversified factor exposure works in theory and is useful for understanding portfolio construction logic. Note that this models historical factor relationships and does not account for transaction costs, timing shifts in factor performance, or changing market conditions.
Quick answer: with the default values, the result is 11.10% (Expected Annual Return). Adjust the values below for your own figures.
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Formula Used
Disclaimer
Results are estimates for educational purposes only. They do not constitute financial advice. Consult a qualified professional before making financial decisions.
Factor investing calculator estimates expected returns using Fama-French factor model: Expected Return = β × Market Return + Value Loading × Value Premium + Size Loading × Size Premium + Alpha. Captures returns beyond simple market exposure (beta) - small-cap and value stocks historically outperform with higher loadings.
Example: market return 7%, beta 1.0 (matches market), value loading 0.5, value premium 3%, size loading 0.3, size premium 2%. Expected return = 7% + (0.5 × 3%) + (0.3 × 2%) + 0% alpha = 9.1%. Tilting toward value and small-cap factors adds 2.1% expected annual return.
Major factors (the Fama-French 3-factor model plus momentum, quality, and low-vol): (1) Market (beta), (2) Value (book-to-market), (3) Size (small-cap premium), (4) Momentum (winners keep winning), (5) Quality (high ROE), (6) Low Volatility (low-vol stocks beat high-vol). Smart-beta ETFs offer factor exposure relatively cheaply, typically at low expense ratios. The five-factor model is now a standard academic framework. Academic studies have generally found realised factor premiums smaller than early backtests suggested.
Quick example
With market return of 7% and portfolio beta of 1 (plus value premium of 3% and value factor loading of 0.5), the result is 9.10%. Change any figure and watch the output shift — it's often more useful to see the pattern than to memorise the formula.
Which inputs matter most
You enter Market Return %, Portfolio Beta, Value Premium %, Value Factor Loading, Size Premium %, Size Factor Loading, and Alpha %. Market return and portfolio beta usually dominate, since the market term (beta × market return) is the largest linear component; the value and size terms add or subtract smaller amounts depending on their loadings, and alpha shifts the total directly. Adjusting one input at a time shows how much each contributes.
What's happening under the hood
Simplified Fama-French three-factor model: market beta + value premium + size premium + alpha. The formula is listed in full below. If the number looks off, you can retrace the calculation by hand — that's the point of showing the working.
Using this well
What this doesn't capture
This is a simplified model that holds its assumptions constant. Real outcomes vary with market conditions, costs, taxes, and timing, so the figure is best read as one scenario rather than a forecast.
1β×7%+0.5×3%+0.3×2%+2% = 11.10%.
Inputs
| Market Beta Contribution | 7.00% |
|---|---|
| Factor Contribution | 2.10% |
| Alpha | 2.00% |
| Total | 11.10% |
This example uses typical values for illustration. Adjust the inputs above to match a specific situation and see how the result changes.
Sources & Methodology
Methodology
Applies a simplified, Fama-French-style three-factor model (using raw market return rather than excess return over a risk-free rate): expected return = (beta × market return) + (value loading × value premium) + (size loading × size premium) + alpha.
References
Frequently Asked Questions
What are factor premiums?
Are factor premiums shrinking?
How to access factors?
Single factor vs multi-factor?
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