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Measuring business cycles using VARs

Patrick Fève () and Alban Moura ()

No 201, BCL working papers from Central Bank of Luxembourg

Abstract: We propose to measure business cycles using vector autoregressions (VARs). Our method builds on two insights: VARs automatically decompose the data into stable and unstable components, and variance-based shock identification can extract meaningful cycles from the stable part. This method has appealing properties: (1) it isolates a well-defined component associated with typical fluctuations; (2) it ensures stationarity by construction; (3) it targets movements at business-cycle frequencies; and (4) it is backward-looking, ensuring that cycles at each date only depend on current and past shocks. Since most existing filters lack one or more of these features, our method offers a valuable alternative. In an empirical application, we show that the two shocks with the largest cyclical impact effectively capture postwar U.S. business cycles and we find a tighter link between real activity and inflation than previously recognized. We compare our method with standard alternatives and document the plausibility and robustness of our results.

Keywords: business cycles; detrending; filtering; shocks; vector autoregressions. (search for similar items in EconPapers)
JEL-codes: C32 E32 (search for similar items in EconPapers)
Pages: 73 pages
Date: 2025-10
New Economics Papers: this item is included in nep-ets and nep-ifn
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