This paper first tests the restrictions implied by Hall’s (1978) version of the permanent income hypothesis (PIH) obtained from a bivariate system of labor income and savings, using quarterly
data over the period of 1947:01 to 2008:03 for the US economy, and then uses the model to forecast changes in labor income over the period of 1991:01 to 2008:03. First, our results indicate the overwhelming rejection of the restrictions on the data implied by the PIH. Second, we found that, when compared to univariate and bivariate versions of classical and Bayesian
Vector Autoregressive (VAR) models, the PIH model, in general, is outperformed by all other models in terms of the average RMSEs for one- to eight-quarters-ahead forecasts for the changes in labor income. Finally, as far as forecasting is concerned, we found the most tight Gibbs sampled univarite Bayesian VAR to perform the best. In sum, we do not find evidence for the
US data to be consistent with the PIH, neither does the PIH model perform better relative to
alternative atheoretical models in forecasting changes in labor income over an out of sample
horizon that was characterized by high degree of volatility for the variable of interest.