Dynamic Factor Stochastic Volatility-in-Mean VAR for Large Macroeconomic Panels

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Hauptverfasser: Hiraki, Daichi, Chib, Siddhartha, Omori, Yasuhiro
Format: Preprint
Veröffentlicht: 2026
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author Hiraki, Daichi
Chib, Siddhartha
Omori, Yasuhiro
author_facet Hiraki, Daichi
Chib, Siddhartha
Omori, Yasuhiro
contents We develop a dynamic factor stochastic volatility-in-mean (SVM) specification for vector autoregressions (VARs) that embeds an SVM component within a dynamic factor stochastic volatility structure. A small number of latent volatility factors capture common movements in conditional variances, while volatility enters the conditional mean of the VAR. This specification allows time-varying uncertainty to influence macroeconomic dynamics through both second moments and expected outcomes while preserving tractability in large panels. We construct an efficient Markov chain Monte Carlo algorithm for estimation in this high-dimensional, non-Gaussian setting. Using quarterly data on twenty variables from the FRED-QD database, we compare predictive performance with the benchmark stochastic volatility VAR model. The dynamic factor SVM specification delivers superior forecasts for more variables during major macroeconomic disruptions such as the 2008 global financial crisis. The results indicate that allowing volatility to enter the mean captures an important transmission channel in macroeconomic dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2604_04529
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Dynamic Factor Stochastic Volatility-in-Mean VAR for Large Macroeconomic Panels
Hiraki, Daichi
Chib, Siddhartha
Omori, Yasuhiro
Methodology
Econometrics
We develop a dynamic factor stochastic volatility-in-mean (SVM) specification for vector autoregressions (VARs) that embeds an SVM component within a dynamic factor stochastic volatility structure. A small number of latent volatility factors capture common movements in conditional variances, while volatility enters the conditional mean of the VAR. This specification allows time-varying uncertainty to influence macroeconomic dynamics through both second moments and expected outcomes while preserving tractability in large panels. We construct an efficient Markov chain Monte Carlo algorithm for estimation in this high-dimensional, non-Gaussian setting. Using quarterly data on twenty variables from the FRED-QD database, we compare predictive performance with the benchmark stochastic volatility VAR model. The dynamic factor SVM specification delivers superior forecasts for more variables during major macroeconomic disruptions such as the 2008 global financial crisis. The results indicate that allowing volatility to enter the mean captures an important transmission channel in macroeconomic dynamics.
title Dynamic Factor Stochastic Volatility-in-Mean VAR for Large Macroeconomic Panels
topic Methodology
Econometrics
url https://arxiv.org/abs/2604.04529