The rank of the Hankel matrix, corresponding to a system transfer function, is equal to the order of its minimal state space realization. The computation of the rank of the Hankel matrix is complicated by the fact that its block elements are rarely given exactly but are estimated instead. In...

The rank of the spectral density matrix conveys relevant information in a variety of modelling scenarios. Phillips (1986) showed that a necessary condition for cointegration is that the spectral density matrix of the innovation sequence at frequency zero is of a reduced rank. In a recent paper...

Testing and estimating the rank of a matrix of estimated parameters is key in a large variety of econometric modelling scenarios. This paper describes general methods to test for and estimate the rank of a matrix, and provides details on a variety of modelling scenarios in the econometrics...

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

The quantity theory of money predicts a positive relationship between monetary growth and inflation over long-run horizons. However, in the short-run, transitory shocks to either money or inflation can obscure the inflationary signal stemming from money. The spectral analysis of time series...

The purpose of this paper is to study the compensation for in ation risks priced in sovereign bond yields. And we do so by modelling the time-varying dynamics of asset returns and inflation, and then estimating the cost of hedging in ation risks from the perspective of a well diversified...

A crucial but often ignored element of inflation expectations is the amount of perceived inflation risk. This paper estimates the degree of uncertainty and asymmetry in the probability forecasts of the Survey of Professional Forecasters (SPF) using a new methodology. The main conclusion from our...

Do euro area inflation expectations remain well-anchored? This paper finds that the protractedperiod of low (and below-target) inflation in the euro area since 2013 has weakened theiranchoring. Testing their sensitivity to inflation and macroeconomic news, this paper expandsexisting results in...

The yield spread between nominal and inflation-linked bonds (or break-even inflation rates, BEIR) is a fundamental indicator of inflation expectations (and associated premia). This paper investigates which macroeconomic and financial variables explain BEIRs. We evaluate a large number of...