Further Evidence on the Uncertain (Fractional) Unit Root of Real GNP

In an interesting paper Diebold and Senhadji (1996) showed that U.S. GNP data was not as uniformative as many believed as to whether trend was better described as deterministic (trend-stationarity) or stochastic (unit root). By using long data spans and new econometric techniques, they showed that the unit root hypothesis could be rejected with high power. Using the same data set we ...rst show that, if the hypotheses are reversed, also the trend stationary model can be easily rejected. This suggests that neither model provides a good characterization of this data. Long memory (ARFIMA) as well as non-linear models are considered as alternatives. Economic as well as statistical justi...cation for the presence of these features in the data is provided. It turns out that the latter models and in general prefered to the former. Finally, a new technique is also applied to discriminate between these the long memory and the structural break models. It is shown that for both real GNP and real GNP per capita the prefered model turns out to be a fractionally integrated model with a memory parameter, d; around 0.7. This implies that these series are non-stationary, highly persistent but with no permanent shocks. Some macroeconomic implications of these ...ndings are