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Forecasting with machine learning Shadow-Rate VARs

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Abstract

Interest rates are fundamental in macroeconomic modeling. Recent studies integrate the effective lower bound (ELB) into vector autoregressions (VARs). This paper studies shadow-rate VARs by using interest rates as a latent variable near the ELB to estimate their shadow-rate values. The study explores machine learning models, such as the Bayesian LASSO, and extends the analysis to include homoscedastic and stochastic volatility shadow-rate VARs. It also examines the integration of shadow rate with vintage-specific long-run assumptions derived from the Survey of Professional Forecasters (SPF). The paper analyzes 16 shadow-rate VARs with 20 US variables, using real-time data from 2005 to 2019 and assesses their predictive accuracy for both point and density forecasts. The findings indicate that shadow-rate models can enhance predictive accuracy for both short-term and longer term horizons across macroeconomic and financial variables. These models could be of use for central banks and policymakers.
Original languageEnglish
Pages (from-to)770-786
Number of pages17
JournalJournal of Forecasting
Volume45
Issue number2
Early online date28 Oct 2025
DOIs
Publication statusPublished - 1 Mar 2026

Keywords

  • shadow rates
  • forecasting
  • structural VAR
  • generalised impulse responses
  • effective lower bound
  • variable selection
  • steady states

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