Figure 3 HICPX: Actual and conditional out-of-sample projection (thick modelling approach; annual percentage changes)

Sources: ECB calculations based on Eurostat, IMF, Consensus Economics and SPF data.
Notes: Results based on a thick-modelling approach including a broad range of fixed-coefficient specifications of the Phillips curve including either only domestic or domestic and foreign slack (see Figure 1). The parameters are estimated over the sample 1995Q1 to 2016Q4. The conditional out-of-sample forecast is done for 2012Q2 to 2016Q4. The range depicts forecasts for HICPX coming from differently specified Phillips curves. The specifications include permutations across the expectation formation (backward- or forward-looking) and the variables representing economic activity/slack. For more details on the thick-modelling approach see Ciccarelli and Osbat (2017) or the speech of B. Coeuré “Scars or Scratches - hysteresis in the euro area “(Geneva 19 May 2017).
ConclusionSumming up, there is some tentative evidence that augmenting Phillips-curve approaches by measures of foreign slack could help to slightly better explain past developments in underlying inflation. However, these results have to be interpreted with some caution. First, it is driven only by a small share of specifications, at the upper and the lower bound of the range of model estimates of a thick-modelling approach, while a majority of specifications with and without foreign slack yields very similar results (as reflected in the overlapping range of model estimates). Furthermore, even for a period when developments of domestic slack differed substantially from developments of foreign slack, the effects seem to be rather small. Looking ahead, further analysis is needed for a solid assessment of the potential role of foreign slack for domestic inflation in the Eurozone, but also at a country level.
Author’s note: The views expressed here are the author’s own and do not necessarily reflect those of the ECB.
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