In the paper, the EAPPP theory was discussed and three different tests with increasingly statistic power were proposed and implemented. The results are mixed, since the theory passed the randomness and orthogonality tests, but not the direct regression test. The impression is that EAPPP seems to hold in a weak sense, since the evidence confirms random movements of real exchange rates and an efficient use of information by agents but not the constraints on (14) postulated by EAPPP. In general, the results of the present study are in accordance with those of Cumby and Obstfeld [1984], Mishkin [1984], MacDonald [1985] and Gaab et al. [1986] who found only weak support to the EAPPP theory. Furthermore, in the case of the dollar-lira exchange rate, our findings are different from those of Tronzano [1987] according to which “although PPP holds very badly in its traditional (absolute or relative formulation), ex ante PPP (both in “weak” and in “strong” version) [is] highly supported by data”. In fact, in our case both the second orthogonality test and the regression test are unfavourable to the EAPPP.