Factor Exposure Analysis 116: Residualized Indices

Orthogonalizing independent variables

Nicolas Rabener
10 min read
3 Nov 2025

SUMMARY

  • Most country and sector indices are highly correlated
  • Residualization can be used for a better risk contribution analysis
  • However, residualized indices are abstract and counterintuitive

INTRODUCTION

Although artificial intelligence and machine learning have advanced rapidly in finance, most portfolio risk and return analysis still relies on traditional linear regression. The underlying math has not changed much, but the frameworks and factor sets have evolved significantly.

For instance, MSCI’s risk attribution model separates contributions from currency, market timing, and residuals. Within residuals, it further distinguishes between specific and common factors such as industry, country, global, and risk indices – allowing for quite granular analysis.

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