Modeling of Aggregated Indicators of Russia's Foreign Economic Activity Using Block BVARX Models
Abstract
This paper proposes a new approach for modeling and forecasting key indicators of Russia's foreign economic activity based on a block-based architecture of a Bayesian Vector Autoregression model with exogenous variables (BVARX). In conditions of high external uncertainty and the absence of publicly available data on the physical volumes of foreign trade since 2022, the model addresses two interconnected tasks: scenario forecasting and the reconstruction of statistical time series.
The methodology is based on dividing the system of variables into four substantive blocks (foreign exchange market, oil and gas exports, terms of trade, imports), which allows for the formulation of economically interpretable prior constraints, avoids overfitting, and ensures compu-tational efficiency. The model is estimated using quarterly data from 2000 onwards. The results show that the forecasting quality of the BVARX model on horizons from one to eight quarters significantly exceeds the accuracy of basic autoregressive models (AR/ARX) for most variables. As an applied result, reconstructed values for indicators of oil and gas exports and imports for the period 2022–2025 are presented.
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References
Andreev M. (2022) Effects of the Fiscal Rule and Model Assumptions on the Response of Inflation in the Aftermath of a Terms-of-trade Shock. Bank of Russia Research Paper Series. Moscow: Central Bank of the Russian Federation, 107. [In Russ.]
Beklaryan G.L. (2018) Aggregated Simulation Model of the Foreign Economic Activity of the Russian Federation. Economics of Contemporary Russia, 4, pp. 50–65. [In Russ.] DOI: https://doi.org/10.33276/S0000185-6-1
Deryugina E., Ponomarenko A. (2015) A Large Bayesian Vector Autoregression Model for Russia. Bank of Russia, 1. DOI: https://doi.org/10.2139/ssrn.2686550
Dreger C., Kholodilin K., Ulbricht D., Fidrmuc J. (2016) Between the Hammer and the Anvil: The Impact of Economic Sanctions and Oil Prices on Russia’s Ruble. Journal of Comparative Economics, 2 (44), pp. 295–308. DOI: https://doi.org/10.1016/j.jce.2015.12.010
Fokin N., Polbin A. (2019) A VAR-LASSO Model for Forecasting Key Macroeconomic Indicators of Russia. Russian Journal of Money and Finance, 2. [In Russ.]
Hyndman R., Athanasopoulos G. (2021) Forecasting: Principles and Practice. Econometrics and Business Statistics.
Kreptsev D.A., Seleznev S.M. (2017) A DSGE Model of the Russian Economy with a Banking Sec-tor. Bank of Russia Research Paper Series, 27. [In Russ.]
Kudrin A.L., Sokolov I.A., Suchkova O.V. (2023) Assessing the Impact of Fiscal Rules on the Cyclicality of Public Spending. Voprosy Ekonomiki, 5, pp. 5–22. [In Russ.] DOI: https://doi.org/10.32609/0042-8736-2023-5-5-22
Litterman R. (1986) Forecasting with Bayesian Vector Autoregressions. Journal of Business and Economic Statistics, 4, 1, pp. 25–38. DOI: https://doi.org/10.1080/07350015.1986.10509491
Pestova A.A., Mamonov M.E. (2016) Assessment of the Impact of Various Shocks on the Dynamics of Macroeconomic Indicators in Russia and Development of Conditional Forecasts Based on the BVAR Model of the Russian Economy. Economic Policy, 11, pp. 56–92. [In Russ.] DOI: https://doi.org/10.18288/1994-5124-2016-4-03
Pilnik N.P., Uzhegov A.A. (2017) Model of Foreign Economic Activity of the Russian Economy. Modeling the Coevolution of Nature and Society: Problems and Experience. To the 100th anniversary of the birth of Academician N.N. Moiseev (MOISEEV-100). FRC CSC RAS, pp. 280–290. [In Russ.]
Pilnik N.P., Shaikhutdinova M.F. (2017) Modeling of the Balance of Payments State in Russia. State University of the Ministry of Finance of Russia. Financial Journal, 5, pp. 84–101. [In Russ.]
Pobin A., Sinelnikov-Murylev S. (2024) Developing and Impulse Response Matching Estimation of the DSGE Model for the Russian Economy. Applied Econometrics, 73, pp. 5–34. DOI: https://doi.org/10.22394/1993-7601-2024-73-5-34
Votinov A.I., Polshchikova Yu.A. (2025) Relationship between the Neutral Interest Rate and the Parameters of the Fiscal Rule: DSGE-Model of the Russian Economy. Journal of the New Economic Association, 3, 68, pp. 160–187. [In Russ.] DOI: https://doi.org/10.31737/22212264_2025_3_160-187
Zivot E., Wang J. (2006) Modeling Financial Time Series with S-Plus. New York: Springer.
Zubarev A.V., Kirillova M.A. (2023) Assessment of Russia's GDP Losses Due to Sanctions Using a Global Vector Autoregressive Model. Voprosy Statistiki, 1, 30. [In Russ.] DOI: https://doi.org/10.34023/2313-6383-2023-30-1-18-26
Zubarev A.V., Rybak K.S. (2022) Assessment of the Impact of Global Shocks on the Russian Economy within a Factor Model. Journal of the New Economic Association, 4, 56, pp. 48–68. [In Russ.] DOI: https://doi.org/10.31737/2221-2264-2022-56-4-3







