Factor Investing¶
Difficulty intermediate
Overview¶
Factor investing targets specific drivers of returns (factors) that have historically delivered excess returns over the market.
The Fama-French Factors¶
3-Factor Model¶
R_i - R_f = β_mkt(R_m - R_f) + β_smb×SMB + β_hml×HML + α
SMB = Small Minus Big (size factor)
HML = High Minus Low (value factor)
where:
R_iasset return ·R_frisk-free rate ·R_mmarket return ·β_mktmarket beta ·β_smbsize beta ·β_hmlvalue beta ·SMBsmall-minus-big return spread ·HMLhigh-minus-low book-to-market spread ·αintercept (manager skill). does: decomposes excess return into market, size, and value premia. Industry-standard linear regression for explaining cross-sectional equity returns and isolating residual alpha.
5-Factor Model¶
R_i - R_f = β_mkt(R_m - R_f) + β_smb×SMB + β_hml×HML
+ β_rmw×RMW + β_cma×CMA + α
RMW = Robust Minus Weak (profitability)
CMA = Conservative Minus Aggressive (investment)
where:
β_rmwprofitability beta ·β_cmainvestment beta ·RMWrobust-minus-weak operating profitability spread ·CMAconservative-minus-aggressive investment spread · other terms as in the 3-factor model. does: extends Fama-French to capture quality (profitability) and investment behavior. Used to test whether momentum or quality strategies are truly delivering alpha or just loading on known factors.
Common Factors¶
| Factor | Definition | Economic Rationale |
|---|---|---|
| Market | Excess market return | Risk premium |
| Size | Small cap - Large cap | Liquidity premium |
| Value | Cheap - Expensive | Distress risk, behavioral |
| Momentum | Winners - Losers | Underreaction, behavioral |
| Quality | High profitability | Risk premium |
| Low Vol | Low vol - High vol | Leverage constraints |
| Carry | High yield - Low yield | Risk premium |
Factor Performance¶
| Factor | Annualized Return | Volatility | Sharpe | Max DD |
|---|---|---|---|---|
| Market | 8-10% | 15-20% | 0.4-0.6 | -50% |
| Size | 1-3% | 10-15% | 0.1-0.2 | -30% |
| Value | 3-5% | 10-12% | 0.3-0.4 | -40% |
| Momentum | 5-8% | 15-20% | 0.3-0.5 | -30% |
| Quality | 2-4% | 8-12% | 0.2-0.3 | -20% |
| Low Vol | 2-4% | 8-10% | 0.3-0.4 | -25% |
Practical Guidelines¶
- Factors Cycle — No factor works all the time
- Patience Required — Factors need 3-5+ years to play out
- Diversify Factors — Combine uncorrelated factors
- Costs Matter — High turnover erodes factor returns
- Implementation — Use ETFs or systematic rebalancing
- Capacity — Some factors degrade with too much capital
Next Steps¶
- Momentum — Momentum factor deep dive
- Portfolio Optimization — Allocating to factors
- Machine Learning — ML-enhanced factors