Resumo:
Modern investors face a high-dimensional prediction problem: thousands of observable variables
are potentially relevant for forecasting. We reassess the conventional wisdom on market
efficiency in light of this fact. In our model economy, which resembles a typical machine learning
setting, N assets have cash flows that are a linear function of J firm characteristics, but with
uncertain coefficients. Risk-neutral Bayesian investors impose shrinkage (ridge regression) or
sparsity (Lasso) when they estimate the J coefficients of the model and use them to price assets.
When J is comparable in size to N, returns appear cross-sectionally predictable using firm
characteristics to an econometrician who analyzes data from the economy ex post. A factor zoo
emerges even without p-hacking and data-mining. Standard in-sample tests of market efficiency
reject the no-predictability null with high probability, despite the fact that investors optimally use
the information available to them in real time. In contrast, out-of-sample tests retain their
economic meaning.
Market Efficiency in the Age of Big DataIan Martin and Stefan NagelNBER Working Paper No. 26586December 2019JEL No. C11,G12,G14
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