This paper shows that investments based on deep learning signals extract profitability from difficult-toarbitrage stocks and during high limits-to-arbitrage market states. In particular, excluding microcaps, distressed stocks, or episodes of high market volatility considerably attenuates profitability. Machine learning-based performance further deteriorates in the presence of reasonable trading costs due to high turnover and extreme positions in the tangency portfolio implied by the pricing kernel. Despite their opaque nature, machine learning methods successfully identify mispriced stocks consistent with most anomalies. Beyond economic restrictions, deep learning signals are profitable in long positions and recent years and command low downside risk.
Integrating Factor Models – Summary
The community of financial economists has allocated considerable resources to understand the forces that drive stock returns in the cross section and the time series.
The cross section is about why Apple delivers, on average, different returns from Google, Facebook (Meta), or Amazon. The time series is about why the average return of Netflix nowadays is markedly different from that when it just got listed for trading on Wall Street. Clearly, the ambition is to go beyond these FAANG stocks and explain return dynamics for major US equities throughout a long enough period.
As the quest for forces underlying stock return dynamics is vast, there is, obviously, a long list of candidate models vying for our attention. When an economic agent is confronted with competing models, a useful toolkit would be to run a horse race among candidate models and essentially pick the winning beast. Such a model selection approach, while easy-going and tractable, leaves much to be desired. For instance, perhaps the runner up has meaningful insights, incremental to the winner. Hence, why not letting multiple horses express their minds, uninterrupted?
One reason is complexity. Model combination (or letting multiple horses argue) is not an easy going stuff analytically or conceptually. The challenge intensifies when model weights must be computed for a vast universe (exceeding 52 million) of models.
"Integrating Factor Models" derives and applies an analytical Bayesian framework for addressing model combination in asset pricing. The probability that a model describes stock return dynamics is formulated. Asset pricing inferences are then based on a composite model that integrates over competing models weighted by their probabilities.
From an investment perspective, it would be useful to follow the guidance of the integrated model. For one, it uniformly outperforms plausible benchmarks. Moreover, it considerably tempers the downside risk and the volatility of stock investing (ex post). The integrated model also identifies potent determinants of stock return dynamics. As competing asset pricing models disagree about the magnitude of expected returns, equities are perceived considerably riskier (ex-ante) than the impression that would obtain from merely relying on sample estimates. The disagreement spans all return components, namely, risk, risk premium, and mispricing.
Avramov, Doron, Chordia, Tarun, Jostova, Gergana, and Alexander Philipov, The Distress Anomaly is Deeper than you Think: Evidence from Stocks and Bonds, Conditionally Accepted, Review of Finance.