Several authors have recently interpreted the ECB's two-pillar framework as separate approaches to forecast and analyse inflation at different time horizons or frequency bands. The ECB has publicly supported this understanding of the framework. This paper presents further evidence on the...

Short answer: It helps a lot when other important variables are excluded from the information set. Longer answer: We revisit claims in the literature that money growth is Granger-causal for inflation at low frequencies. Applying frequency-specific tests in a comprehensive system setup for...

To detect the quantity theory of money, we follow Lucas (1980) by looking at scatter plots of filtered time series of inflation and money growth rates and interest rates and money growth rates. Like Whiteman (1984), we relate those scatter plots to sums of two-sided distributed lag coefficients...