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.