This paper presents a test of the P-Star model using US quarterly data
over the period 1951:1-1991:4. The basic formulation of the P-Star mo
del, which is derived from the quantity theory of money, is manipulate
d to obtain an equation for the price level in terms of a stochastic t
rend and the actual levels of output and velocity. The maximum likelih
ood estimation results verify the validity of the model and the import
ance of the stochastic trend. The dynamic relationship between the inf
lation rate and the price gap is also estimated, producing a large and
significant value for the coefficient of adjustment.