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A Structural Matrix Autoregressive Model for the Joint Dynamics of Volume, Volatility, and Returns

Andrea Bucci, Giulio Palomba, Eduardo Rossi

arXiv 6 Jun 2026 · Econometrics

arXiv:2606.08141 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper proposes a Structural Matrix Autoregressive (SMAR) model for the joint analysis of asset returns, realized volatility, and trading volume in a large-dimensional setting. This framework simultaneously captures dynamic spillovers across financial variables and cross-sectional dependence across assets while preserving a parsimonious parameterization relative to conventional vector autoregressive models. The model is estimated on daily data for the constituents of the Dow Jones Industrial Average over the period 2021-2025 and is structurally identified through restrictions consistent with the Mixture of Distributions Hypothesis and efficient market theory. The empirical findings indicate that volatility is the primary driver of trading activity, suggesting that informational shocks are predominantly incorporated into markets through price variability. Forecast error variance decompositions further reveal that, although internal shocks dominate short-term volume dynamics, cross-asset spillovers account for more than 50% of trading volume variation at longer horizons. Finally, an event-study analysis around FOMC announcements supports the proposed decomposition by identifying significant increases in the informative component of trading activity on announcement days followed by rapid mean reversion.

Citation extraction

41
references
69
in-text mentions
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distinct cited
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Chen, Rong and Xiao, Han and Yang, Dan (2021) Autoregressive models for matrix-valued time series1.000104100%
2Kilian, L. and Lüktepohl, H (2017) Structural Vector Autoregressive Analysis1.00063100%
3Tauchen, George E. and Pitts, Mark (1983) The Price Variability-Volume Relationship on Speculative Markets0.92843100%
4Andersen, Torben G (1996) Return Volatility and Trading Volume: An Information Flow Interpretation of Stochastic Volatility0.64422100%
5Bessembinder, Hendrik and Seguin, Paul J (1993) Price Volatility, Trading Volume, and Market Depth: Evidence from Futures Markets0.64422100%
6Black, F (1976) Studies of Stock Price Volatility Changes0.64422100%
7Fama, Eugene F (1970) Efficient Capital Markets: A Review of Theory and Empirical Work0.64422100%
8Gallant, A. Ronald and Rossi, Peter E. and Tauchen, George (1992) Stock Prices and Volume0.64422100%
9Lucca, David O. and Moench, Emanuel (2015) The Pre-FOMC Announcement Drift0.64422100%
10Bollerslev, Tim and Li, Jia and Xue, Yuan (2018) Volume, Volatility, and Public News Announcements0.51121100%

Showing the top 10 of 41 scored citations.