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

2026-04-06

AI Summary

This study investigates the joint impact of time-varying volatility on conditional means and variances in high-dimensional macroeconomic panels. To this end, the authors propose a dynamic factor stochastic volatility mean-VAR model that captures common movements in conditional variances through a small set of latent factors and, for the first time, incorporates volatility directly into the mean equation to reveal a dual transmission mechanism through which uncertainty affects macroeconomic dynamics. By integrating a dynamic factor structure, an SV-in-mean specification, and an efficient MCMC algorithm, the model enables high-dimensional non-Gaussian inference. Empirical analysis using 20 quarterly variables from the FRED-QD database demonstrates that the proposed framework substantially improves multivariate forecast accuracy during major economic shocks, such as the 2008 financial crisis.

Abstract

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.

Problem

• dynamic factor
• stochastic volatility
• volatility-in-mean
• VAR
• macroeconomic panels

Innovation

• Dynamic Factor Model
• Stochastic Volatility-in-Mean
• Vector Autoregression
• Markov Chain Monte Carlo
• Macroeconomic Forecasting