The rank of the spectral density matrix conveys relevant information in a variety of statistical modelling scenarios. This note shows how to estimate the rank of the spectral density matrix at any given frequency. The method presented is valid for any hermitian positive definite matrix estimate...

Standard measures of prices are often contaminated by transitory shocks. This has prompted economists to suggest the use of measures of underlying inflation to formulate monetary policy and assist in forecasting observed inflation. Recent work has concentrated on modelling large datasets using...

We use nonlinear empirical methods to uncover non-linearities in the propagation of monetary policy shocks. We find that the transmission on output, goods prices and asset prices is stronger in a low growth regime, contrary to the findings of Tenreyro and Thwaites (2016). The impact is stronger...

We use a Bayesian Threshold Vector Autoregression model identified through sign and narrative restrictions to uncover non-linearities in the propagation of energy supply shocks. We find that the transmission of energy supply shocks on consumer prices is stronger in high-inflation regimes,...

We identify jointly supply chain disruptions shocks and energy supply shocks together with demand shocks using a structural BVAR with narrative restrictions. The impact of adverse supply chain disruption shocks on inflation expectations and core HICP is strong and rather persistent, while the...

What are the economic implications of financial and uncertainty shocks? We show that financial shocks cause a decline in output and goods prices, while uncertainty shocks cause a decline in output and an increase in goods prices. In response to uncertainty shocks, firms increase their markups,...