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Multivariate uncertainty and distributional transmission

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  • Schröder, Maximilian

Abstract

Macroeconomic policy increasingly requires assessments of risk rather than point forecasts alone. This paper develops a framework to compute impulse responses for scenario probabilities and the full predictive distribution of macroeconomic outcomes. The approach combines a regime-dependent mixture VAR with endogenous state probabilities and heteroskedastic shock identification, complemented by sparse sign and narrative restrictions. Applied to the euro area and U.S., the framework addresses a central policy question following the outbreak of the 2026 Iran war: do geopolitical shocks imply a return to the risk profile observed after Russia’s invasion of Ukraine, or is this time different? Results show that shocks differ not only in their effects on expected outcomes, but also in how they reshape scenario probabilities, tail risks, and transitions into high-volatility states. JEL Classification: C11, C32, C34, C53, E37

Suggested Citation

  • Schröder, Maximilian, 2026. "Multivariate uncertainty and distributional transmission," Working Paper Series 3290, European Central Bank.
  • Handle: RePEc:ecb:ecbwps:20263290
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    References listed on IDEAS

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    1. Francq, C. & Zakoian, J. -M., 2001. "Stationarity of multivariate Markov-switching ARMA models," Journal of Econometrics, Elsevier, vol. 102(2), pages 339-364, June.
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    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • 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
    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications

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