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Structural forecast analysis

Author

Listed:
  • Davide Brignone

    (Bank of England)

  • Michele Piffer

    (Bank of England)

Abstract

This paper shows how the structural representation of a vector autoregressive (VAR) model can support forecast analysis. We offer a unified framework that formalises how the structural form of the model can help form a narrative for two key statistics in real-time VAR forecasting: the forecast errors relative to the outturn of the data, and the consequent revisions of the forecast. To illustrate the method developed, we conduct a stylised real-time exercise on the UK, focusing on the inflation surge that followed the pandemic. We show that the inflation forecast produced by a four-variable VAR model was revised upwards not only due to contractionary supply-side shocks, but also due to a mix of expansionary demand-side shocks, and a revision in the past shocks.

Suggested Citation

  • Davide Brignone & Michele Piffer, 2026. "Structural forecast analysis," Bank of England Staff Working Paper series 1165, Bank of England.
  • Handle: RePEc:boe:boeewp:023287
    as

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    References listed on IDEAS

    as
    1. Atsushi Inoue & Lutz Kilian, 2026. "When Is the Use of Gaussian-Inverse Wishart-Haar Priors Appropriate?," Journal of Political Economy, University of Chicago Press, vol. 134(2), pages 773-794.
    2. Atsushi Inoue & Lutz Kilian, 2026. "The Conventional Impulse Response Prior in VAR Models With Sign Restrictions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 41(3), pages 310-322, April.
    3. Uhlig, Harald, 2005. "What are the effects of monetary policy on output? Results from an agnostic identification procedure," Journal of Monetary Economics, Elsevier, vol. 52(2), pages 381-419, March.
    4. Régis Barnichon & Geert Mesters, 2023. "A Sufficient Statistics Approach for Macro Policy," American Economic Review, American Economic Association, vol. 113(11), pages 2809-2845, November.
    5. Koop, Gary & Korobilis, Dimitris, 2010. "Bayesian Multivariate Time Series Methods for Empirical Macroeconomics," Foundations and Trends(R) in Econometrics, now publishers, vol. 3(4), pages 267-358, July.
    6. Kilian,Lutz & Lütkepohl,Helmut, 2018. "Structural Vector Autoregressive Analysis," Cambridge Books, Cambridge University Press, number 9781107196575, June.
    7. Bańbura, Marta & Giannone, Domenico & Lenza, Michele, 2015. "Conditional forecasts and scenario analysis with vector autoregressions for large cross-sections," International Journal of Forecasting, Elsevier, vol. 31(3), pages 739-756.
    8. Martin Bruns & Michele Piffer, 2023. "A new posterior sampler for Bayesian structural vector autoregressive models," Quantitative Economics, Econometric Society, vol. 14(4), pages 1221-1250, November.
    9. Giannone, Domenico & Primiceri, Giorgio, 2024. "The drivers of post-pandemic inflation," CEPR Discussion Papers 19377, Centre for Economic Policy Research.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

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    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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