This article seeks to clarify the relationship between the concept of
convergence and univariate and cointegration analysis by looking at in
flation convergence within the EMS. We take issue with the view put fo
rward by Artis and Nachane, who hold that cointegration of inflation i
n Germany with inflation in the other EMS countries is a necessary con
dition for the ''german leadership'' thesis to stand. We think that, o
n the contrary, as long as convergence is still in the process of bein
g achieved, inflation differentials are likely to be non-stationary an
d, if so, to exhibit common stochastic trends. However, our empirical
results, based on Phillips-Perron tests and on the maximum likelihood
framework developed by Johansen to test for common trends and cointegr
ation, confirm the validity of the German leadership hypothesis,