AI summary · arXiv: 2402.08051v1 · econ.EM

On Bayesian Filtering for Markov Regime Switching Models

Nigar Hashimzade, Oleg Kirsanov, Tatiana Kirsanova, Junior Maih
Original paper Submitted to arXiv on 12 Feb. 2024 License: CC BY 4.0

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The essentials

  • Comprehensive framework for empirical analysis of dynamic macroeconomic models using Bayesian filtering
  • Focus on state-space formulation of Dynamic Stochastic General Equilibrium (DSGE) models with multiple regimes
  • Introduction of two families of powerful multiple-regime filters, IMM and GPB, along with corresponding smoothers
  • Demonstration of computational robustness through simulation exercise based on a New Keynesian DSGE model
  • Improvement in precision by approximately 25% in recovering unobserved variables
  • Comparison showing the speed and accuracy advantages of the canonical IMM filter over competitors within IMM and GPB families
  • Successful identification of significant past policy shifts in U.S. macroeconomic time series, including post-Covid-19 period
  • Contribution to advancing empirical examination in dynamic models by addressing computational challenges and enhancing accuracy

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AI-generated keywords: Bayesian filtering DSGE models multiple regimes IMM filter GPB filter

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This paper presents a comprehensive framework for empirical analysis of dynamic macroeconomic models using Bayesian filtering, with a specific focus on the state-space formulation of Dynamic Stochastic General Equilibrium (DSGE) models with multiple regimes. The authors outline the theoretical foundations of model estimation and provide details on two families of powerful multiple-regime filters, IMM and GPB, along with corresponding smoothers. Through a simulation exercise based on a prototypical New Keynesian DSGE model, they demonstrate the computational robustness of the proposed filters and smoothers. They evaluate their accuracy and speed against competitors within each family to improve precision in recovering unobserved variables by approximately 25 percent. The study shows that the canonical IMM filter is faster and often more accurate than its counterparts within IMM and GPB families, including the commonly used Kim and Nelson (1999) filter. When paired with the matching smoother, it successfully identifies significant past policy shifts in U.S. macroeconomic time series from 1947-2023, including those related to the post-Covid-19 period. Motivated by the growing popularity of Bayesian methods in macroeconomic time series analysis within the DSGE framework, this work introduces enhanced filter and smoother algorithms essential for accurate macroeconomic modeling and estimation. The authors emphasize the practical applicability and potential of their proposed routines in macroeconomic analysis through rigorous simulations. This research contributes to advancing empirical examination in dynamic models by addressing computational challenges and enhancing accuracy in capturing structural changes within economic systems.

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