Skip to content
MVIE Pro
Back to Research
Quantitative Research

Absorption Ratio Deep-Dive: PCA Eigenvalue Concentration as a Regime Signal

MVIE Pro ResearchObservational — Not Investment Advice2 min readShare

Absorption Ratio Deep-Dive: PCA Eigenvalue Concentration as a Regime Signal

Publication Date: 18 May 2026 Classification: Observational Research — Not Investment Advice


1. What Is the Absorption Ratio?

The Absorption Ratio (AR) measures the fraction of total return variance in a portfolio that is explained by the top eigenvectors of the covariance matrix:

AR = Σλ(top 20%) / Σλ(all)

A high AR indicates that a small number of risk factors drive the majority of portfolio variance — a signature of correlated, fragile markets.


2. PCA Mechanics

Principal Component Analysis decomposes the covariance matrix Σ into eigenvectors and eigenvalues:

Σ = Q Λ Qᵀ

Where Λ is a diagonal matrix of eigenvalues sorted in descending order. When markets are diverse, eigenvalues are spread across many components. When correlations converge — as in crisis regimes — eigenvalue mass concentrates in the top components, driving AR upward.


3. AR in the MVIE Composite

Within the composite:

MVIE = 0.40 × AR + 0.35 × IS + 0.25 × PD

AR carries the highest weight (40%) because eigenvalue concentration is the most direct measure of systemic fragility. An AR Z-score above +2.0σ historically precedes regime transitions in observational sample data.


This document is produced by MVIE Pro for educational purposes only. Not investment advice.