A note of caution on the relation between money growth and inflation

We assess the bivariate relation between money growth and inflation in the euro area and the United States using hybrid time-varying parameter Bayesian VAR models. Model selection based on marginal likelihoods suggests that the relation is statistically unstable across time in both regions. The effect that shocks to money growth has on inflation weakened notably after the 1980s before making a comeback after 2020. This instability implies that caution should be exercised when relating monetary aggregates to inflation.