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用于大规模贝叶斯向量自回归模型的条件投影方法

Conditional projection methods for large-scale Bayesian VARs

Niko Hauzenberger, Michael Pfarrhofer

arXiv 2607.29215首次发表:更新:

AI 中文总结

该研究针对大规模贝叶斯向量自回归模型开发快速条件投影方法,通过因子结构实现高效估计,用于美国宏观金融变量的油价情景反事实预测,揭示相同油价路径对应不同经济结果的冲击机制。

AI 中文摘要

我们开发了用于高维贝叶斯向量自回归模型(VAR)的条件预测和结构情景分析的快速方法。我们的通用框架在简化形式误差上具有因子结构,这使得能够进行快速且与顺序无关的逐方程估计;经适当识别的因子可赋予结构解释。情景通过对可观测变量、结构冲击和异质成分的单独分布限制来定义。我们提出的算法的计算成本仅为限制数量的三次方,而预测系统的维度呈线性进入。在我们针对美国的应用中,使用33个宏观经济和金融变量以及10个集识别的结构冲击,计算了2026年霍尔木兹海峡关闭背景下油价情景的反事实预测。相同的油价路径与从大多良性事件到明显滞胀的结果一致,这取决于允许哪些结构和异质成分产生该结果。

英文摘要

We develop fast methods for conditional forecasting and structural scenario analysis with high-dimensional Bayesian vector autoregressions (VARs). Our general framework features a factor structure on the reduced-form errors, which enables fast and order-invariant equation-by-equation estimation; suitably identified factors admit a structural interpretation. The scenarios are defined through separate distributional restrictions on observables, structural shocks and idiosyncratic components. The computational cost of our proposed algorithm is cubic only in the number of restrictions, while the dimension of the forecasted system enters linearly. In our application with $33$ macroeconomic and financial variables and ten set-identified structural shocks for the US, we compute counterfactual predictions for oil price scenarios in the context of the 2026 closure of the Strait of Hormuz. The same oil price path is consistent with outcomes ranging from a mostly benign episode to pronounced stagflation, depending on which structural and idiosyncratic shocks are allowed to deliver it.

CommentsJEL: C11, C32, C53, E37, Q43; keywords: structural scenario analysis, conditional forecasting, factor model, shrinkage

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