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A Test of Lookahead Bias in LLM Forecasts

Zhenyu Gao, Wenxi Jiang, Yutong Yan

TL;DR

The paper addresses the risk that LLM-based forecasts reflect training-data leakage rather than genuine reasoning. It introduces Lookahead Propensity (LAP), derived from MIN‑K% PROB, as a practical measure of whether an input prompt resembles training data, and develops a regression-based test that uses the LAP–LLM interaction to detect lookahead bias. Applying the method to two forecasting tasks—stock returns from news headlines and future capital expenditures from earnings calls—the authors find substantial in-sample lookahead bias: higher LAP amplifies the LLM signal, though out-of-sample results show reduced or no such bias. The LAP framework provides a cost-efficient, model-training-free diagnostic tool for validating LLM forecasts and highlights that lookahead bias is task-specific, influenced by input text, target variable, and prompting choices. Overall, the paper clarifies the distinguishable roles of memorization versus reasoning in LLM-based economic forecasts and offers a practical approach for practitioners to assess forecast reliability.

Abstract

We develop a statistical test to detect lookahead bias in economic forecasts generated by large language models (LLMs). Using state-of-the-art pre-training data detection techniques, we estimate the likelihood that a given prompt appeared in an LLM's training corpus, a statistic we term Lookahead Propensity (LAP). We formally show that a positive correlation between LAP and forecast accuracy indicates the presence and magnitude of lookahead bias, and apply the test to two forecasting tasks: news headlines predicting stock returns and earnings call transcripts predicting capital expenditures. Our test provides a cost-efficient, diagnostic tool for assessing the validity and reliability of LLM-generated forecasts.

A Test of Lookahead Bias in LLM Forecasts

TL;DR

The paper addresses the risk that LLM-based forecasts reflect training-data leakage rather than genuine reasoning. It introduces Lookahead Propensity (LAP), derived from MIN‑K% PROB, as a practical measure of whether an input prompt resembles training data, and develops a regression-based test that uses the LAP–LLM interaction to detect lookahead bias. Applying the method to two forecasting tasks—stock returns from news headlines and future capital expenditures from earnings calls—the authors find substantial in-sample lookahead bias: higher LAP amplifies the LLM signal, though out-of-sample results show reduced or no such bias. The LAP framework provides a cost-efficient, model-training-free diagnostic tool for validating LLM forecasts and highlights that lookahead bias is task-specific, influenced by input text, target variable, and prompting choices. Overall, the paper clarifies the distinguishable roles of memorization versus reasoning in LLM-based economic forecasts and offers a practical approach for practitioners to assess forecast reliability.

Abstract

We develop a statistical test to detect lookahead bias in economic forecasts generated by large language models (LLMs). Using state-of-the-art pre-training data detection techniques, we estimate the likelihood that a given prompt appeared in an LLM's training corpus, a statistic we term Lookahead Propensity (LAP). We formally show that a positive correlation between LAP and forecast accuracy indicates the presence and magnitude of lookahead bias, and apply the test to two forecasting tasks: news headlines predicting stock returns and earnings call transcripts predicting capital expenditures. Our test provides a cost-efficient, diagnostic tool for assessing the validity and reliability of LLM-generated forecasts.
Paper Structure (25 sections, 1 theorem, 22 equations, 3 figures, 10 tables)

This paper contains 25 sections, 1 theorem, 22 equations, 3 figures, 10 tables.

Key Result

Proposition 1

By the Frisch–Waugh–Lovell (FWL) theorem, where $\tilde{y}$ and $\widetilde{L\hat{\mu}}$ are the residuals from projecting $Y_{t+1}$ and $L\hat{\mu}$ onto $(\hat{\mu},L)$, respectively. Hence, The partial covariance admits the structural representation Therefore, which holds whenever $L$ is nonzero on a set of positive probability and $\mathop{\mathrm{Var}}\nolimits(\varepsilon\mid \hat{\mu},L

Figures (3)

  • Figure I: Example Prompt and Response for Stock News Analysis
  • Figure II: Example Prompt and Response for Earnings Call Analysis
  • Figure III: Results from Pairs Bootstrap Inference

Theorems & Definitions (3)

  • Definition 1: Lookahead Bias Contamination
  • Proposition 1: Detection Statistic
  • proof