The paper analyzes Solow's model, showing that the rates of capital ac
cumulation and population growth are stochastic variables with unit ro
ots, rather than constant parameters. As a consequence, the equilibriu
m level of labor productivity in efficiency units can contain a unit r
oot, and Solow's model has to be interpreted as an error correction mo
del, consistent with the variables' stochastic nature. Implications on
time series cointegration are tested, using annual data from four cou
ntries. The error correction mechanism, i.e., the convergence of curre
nt productivity towards its stochastic steady-state path, never appear
s to have been operative in any considered case.