Performance Attribution and Investment Alpha › Key Parameters

Michael BrenndoerferDecember 17, 20251 min read
Quantitative FinanceAll chapters
Part 9 of 15Portfolio Theory and Investment Analysis
Chapter 50Performance Attribution and Investment Alpha › Key Parameters
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The key parameters for factor-based attribution are:

  • Alpha (α\alpha): The intercept of the regression, representing returns unexplained by factor exposures.
  • Betas (β\beta): Factor loadings measuring the sensitivity of the portfolio to each factor.
  • Factors (Rm,SMB,HMLR_m, \text{SMB}, \text{HML}): Systematic risk drivers (Market, Size, Value).
  • Residuals (ϵ\epsilon): Idiosyncratic returns specific to the portfolio.

Risk attribution reveals what percentage of portfolio volatility comes from factor exposures versus stock-specific risk. A portfolio with high systematic variance is primarily driven by factor movements, while high idiosyncratic variance suggests more active, stock-specific bets.