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...

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...

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...

In implementing its monetary policy, the ECB conducts collateralised credit operations with banks. The bulk of the financial risks involved in these collateralised credit operations are mitigated primarily by the valuation haircuts imposed on the mobilised collateral. Since the establishment of...

The purpose of this paper is to study the compensation for inflation 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 inflation risks from the perspective of a well diversified...

How much of the heterogeneity in bank loan pricing is explained by disparities in banks’ attitude towards risk? The answer to this question is not simple because there are only very weak proxies for gauging the degree of a bank’s risk aversion. We handle this constraint by means of a novel...

This paper reviews the key economic issues concerning the welfare costs of inflation and deflation, with a view to shedding light on the desirable properties of the inflation process. Our review of the evidence on the overall costs of inflation and deflation indicates that such costs could be...

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...

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

This paper evaluates models that exploit timely monthly releases to compute early estimates of current quarter GDP (now-casting) in the euro area. We compare traditional methods used at institutions with a new method proposed by Giannone, Reichlin, and Small (2005). The method consists in...