Estimating potential output and the output gap for the euro area: a model-based production function approach

This paper provides an analysis of multivariate unobserved components models for the estimation of potential output and the output gap in the euro area. Bivariate models of output and inflation and multivariate model-based implementations of the production function approach are considered; according to the latter potential output is derived from the permanent components of the factors of production consistent with stable inflation, whereas the output gap results from the combination of the transitory components. This approach allows to measure the contribution of the various factors of production to potential output growth, and to assess the reliability of the output gap estimates. Various alternative statistical specifications for the separation of trend and cycle are considered entertaining different economic hypotheses. The paper also provides an assessment of the reliability of the alternative output gap estimates and analyses their predictive validity by means of a rolling forecast exercise that provides an evaluation of the capability to forecast future inflation. A preliminary version of this paper appeared as EUI working paper ECO2002/09 and was presented at the European Central Bank, the European University Institute, the Growth and Business Cycles in Theory and Practice conference, Manchester UK, 20–21 June 2002, the Common Features in Rio conference, Rio de Janeiro, 29–31 July 2002. We thank the participants, Michael Artis, Gerard Korteweg, Geoff Kenny, Neale Kennedy, Manuel da Mota Freitas Martins, Gerard Ruenstler, and three anonymous Referees for useful discussions and valuable comments. The paper was largely written while the first author was acting as consultant for the ECB. The views expressed in it do not necessarily reflect those of the ECB. All correspondence to Alberto Musso.