(Mis)Understanding Benign Overfitting in Equity Return Prediction
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Abstract (arXiv)
Highly overparameterized models often predict well despite interpolating training data in complex domains, challenging the classical bias--variance tradeoff. We investigate whether this ``benign overfitting'' phenomenon extends to equity return prediction. Consistent with recent statistical theory, we document two key phenomena: first, a double descent pattern in the ridgeless model's prediction risk; and second, that while the optimal ridge model consistently outperforms its ridgeless counterpart, this performance gap becomes negligible at large parameter-to-observation ratios. Ultimately, however, both models fail to outperform a simple historical average. This empirical evidence aligns with our asymptotic results under the null hypothesis of zero slope coefficients, suggesting that standard equity predictors lack true forecasting power---even within highly flexible, nonlinear machine learning architectures. These findings reconcile modern and classical machine learning in asset pricing: in the absence of a true signal, they asymptotically collapse to the historical average benchmark.
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References · 5
- 2018Reconciling modern machine learning practice and the bias-variance trade-offcited by 927
- 2019Benign Overfitting in Linear Regressioncited by 549
- 2019Surprises in High-Dimensional Ridgeless Least Squares Interpolationcited by 513
- 2019The generalization error of random features regression: Precise asymptotics and double descent curvecited by 413
- 2025High-Dimensional Learning in Financecited by 2
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