Fama French Three Factor Model: How It Works, Formula, and Impact

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Many investors struggle to explain why some stocks consistently outperform the market. The model taps into factors like size and value, shedding light on returns beyond traditional market risk and connecting closely with abnormal return concepts. Here's what matters.

Key Takeaways

  • Adds size and value factors to market risk.
  • Explains stock returns better than CAPM.
  • Size factor favors small-cap stocks.
  • Value factor favors high book-to-market stocks.

What is Fama and French Three Factor Model?

The Fama and French Three Factor Model, developed by Eugene Fama and Kenneth French, enhances the traditional Capital Asset Pricing Model (CAPM) by adding two key factors—company size and value—to better capture variations in stock returns beyond market risk alone. This model improves the understanding of expected returns by incorporating factor investing principles.

By including the size factor (small vs. large companies) and the value factor (high vs. low book-to-market ratios), the model explains why certain stocks outperform the market consistently.

Key Characteristics

The model relies on three primary factors to explain asset returns more comprehensively than CAPM:

  • Market Risk: Reflects the excess return of the overall market relative to the risk-free rate, similar to CAPM's beta.
  • Size Factor (SMB): Small capitalization stocks tend to outperform large-cap stocks, capturing additional risk related to firm size.
  • Value Factor (HML): Stocks with high book-to-market ratios (value stocks) generally yield higher returns than growth stocks with low book-to-market ratios.
  • Alpha and Abnormal Returns: The model estimates abnormal return (alpha) to measure manager skill or inefficiencies beyond those factors.

How It Works

The model quantifies expected stock returns by regressing them against three factors: market excess returns, size premium, and value premium. Each stock or portfolio receives factor loadings (betas) indicating sensitivity to these risks.

For example, a small-cap value stock will usually have positive exposures to both the size and value factors, predicting higher expected returns than a large-cap growth stock with negative loadings. These factor sensitivities help isolate the systematic risks driving returns and differentiate them from idiosyncratic risk.

Examples and Use Cases

Understanding the Fama and French Three Factor Model helps in portfolio construction and risk assessment across different market segments:

  • Large-Cap Growth Stocks: Investors exploring best growth stocks can evaluate how these stocks’ returns relate to size and value factors, often showing lower exposure to SMB and HML.
  • Value Investing: Portfolios tilted toward best value stocks benefit from the model’s value factor, explaining why such stocks may outperform over time.
  • Airlines: Companies like Delta often exhibit varying factor sensitivities based on their market capitalization and book-to-market ratios, affecting their expected returns under this model.
  • Large Caps: For those focusing on best large-cap stocks, the model clarifies how size and value factors influence these typically lower-risk investments.

Important Considerations

While the Fama and French model improves return predictions, it does not capture all sources of risk, such as momentum or profitability, which later models address. Additionally, factor loadings can change over time, requiring continuous evaluation.

Investors should also recognize the model’s reliance on historical data, meaning unexpected market events or shifts in economic conditions may affect its accuracy. Using metrics like Jensen’s measure alongside the model can provide further insight into manager performance.

Final Words

The Fama-French Three Factor Model offers a more nuanced view of stock returns by incorporating size and value factors alongside market risk. To harness its insights, consider applying the model to your portfolio to identify exposure to these factors and adjust your strategy accordingly.

Frequently Asked Questions

Sources

Browse Financial Dictionary

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Johanna. T., Financial Education Specialist

Johanna. T.

Hello! I'm Johanna, a Financial Education Specialist at Savings Grove. I'm passionate about making finance accessible and helping readers understand complex financial concepts and terminology. Through clear, actionable content, I empower individuals to make informed financial decisions and build their financial literacy.

The mantra is simple: Make more money, spend less, and save as much as you can.

I'm glad you're here to expand your financial knowledge! Thanks for reading!

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