Innovating Risk Modelling for Global Funds

Swaraj Gambhir, Thanu George and Kairavi Sivasankar

Papers from arXiv.org

Abstract: Markowitz defined portfolio risk as an internal property, built from the covariance among a book's own holdings rather than the distance to any index. Seventy years of simplification reversed that. The market beta of CAPM, the fixed style and industry axes of Barra-type models, and the promotion of benchmark deviation to the definition of risk all traded the inward view for an external one. Risk became distance from an index. For a fund that fits no benchmark, that trade fails. A global book concentrated in a few markets and a few innovation sectors has no natural index to deviate from, and the active-risk number it produces measures the mismatch, not the risk. We return to the covariance. Principal component analysis (PCA) recovers the systematic structure inside the portfolio directly from its own returns. PCA has always carried one cost: its factors resist a plain-English reading. We clear that with a generative-AI labelling layer. It names the leading factors, ranked by their actual contribution to risk rather than by universe variance, and a deterministic rubric keeps it from inventing structure the loadings do not contain. Around this sit four independent signals. Density-based clustering with a mismatch ratio flags groups whose risk outruns their capital. A sign-invariant PCA Risk Score (PRS) marks the names that build the dominant factor bets. A standalone Bleed score catches the slow capital destroyers PCA cannot see. A trailing-return timing gate routes disagreements between the risk signals and recent price action to human judgment. We run the full engine on a proxy global-innovation book of thirty names over one year.

Date: 2026-07
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