Differentiating between business cycles and growth cycles: evidence from 15 developed countries

Abstract

Growth cycles are often mistaken for business cycles, although these two have different statistical properties. In order to differentiate between them in a statistically satisfactory manner, the Bayesian information criterion-(BIC) based model-selection approach is presented. Business cycles are described by the cyclical trend model, and growth cycles are described by the trend-plus-cycle model. Whether the observed time series is derived from business cycles or from growth cycles is determined as a result of model selection. It is shown via data-based simulations that the proposed method works well in most situations. Empirical results obtained for 15 countries suggest that the business cycle model is selected for five countries, the growth cycle model is selected for two countries and the trend-plus-noise model is selected for eight countries.