Rethinking Beta: A Causal Take on CAPM
Abstract
The CAPM regression is typically interpreted as if the market return contemporaneously \emph{causes} individual returns, motivating beta-neutral portfolios and factor attribution. For realized equity returns, however, this interpretation is inconsistent: a same-period arrow conflicts with the fact that is itself a value-weighted aggregate of its constituents, unless is lagged or leave-one-out -- the ``aggregator contradiction.'' We formalize CAPM as a structural causal model and analyze the admissible three-node graphs linking an external driver , the market , and an asset . The empirically plausible baseline is a \emph{fork}, , not . In this setting, OLS beta reflects not a causal transmission, but an attenuated proxy for how well captures the underlying driver . Consequently, ``beta-neutral'' portfolios can remain exposed to macro or sectoral shocks, and hedging on can import index-specific noise. Using stylized models and large-cap U.S.\ equity data, we show that contemporaneous betas act like proxies rather than mechanisms; any genuine market-to-stock channel, if at all, appears only at a lag and with modest economic significance. The practical message is clear: CAPM should be read as associational. Risk management and attribution should shift from fixed factor menus to explicitly declared causal paths, with ``alpha'' reserved for what remains invariant once those causal paths are explicitly blocked.
Cite
@article{arxiv.2509.05760,
title = {Rethinking Beta: A Causal Take on CAPM},
author = {Naftali Cohen},
journal= {arXiv preprint arXiv:2509.05760},
year = {2025}
}