This paper explains to what extent excess reserves are and should be relevant today in the implementation of monetary policy, focusing on the speci?c case of the operational framework of the Eurosystem. In particular, this paper studies the impact that changes to the operational framework for...

The main focus of this paper is to model the daily series of banknotes in circulation in the context of the liquidity management of the Eurosystem. The series of banknotes in circulation displays very marked seasonal patterns. To the best of our knowledge the empirical performance of two...

This paper explores the role of central bank capital in ensuring that central banks focus on price stability in monetary policy decisions. The paper goes beyond the existing literature on this topic by developing a simple, but comprehensive, model of the relationship between a central bank's...

Liquidity provision through its repo auctions has been one of the main instruments of the European Central Bank (ECB) to address the recent tensions in financial markets since summer 2007. In this paper, we analyse banks’ bidding behaviour in the ECB’s main refinancing operations (MROs)...

JEL Classification: D60, E31, E41, E61, H21

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...

This paper assesses the statistical reliability of different measures of the output gap for the Euro-11 area and the US using output, inflation and unemployment systems. In order to assess the reliability of an output gap estimate two criteria are adopted. Firstly, the estimate should have...

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...

Under the Maastricht Treaty and the Stability and Growth Pact (SGP) European Union (EU) Member States commit themselves to avoid excessive deficits over 3% of GDP and to pursue the medium-term objective of budgetary positions close to balance or in surplus. The SGP provides also regulation for...

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 de?nite matrix estimate...