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The main objective of this paper is to test the validity of the purchasing power parity in the Maghreb countries (namely, Algeria, Morocco and Tunisia). We apply the threshold autoregressive non-linear model (TAR) proposed by Caner and Hansen (2001). First, a review of literatureon PPP is presented, analysing its empirical validity and the econometric techniques that have been applied. After that, and investigating for the joint hypothesis of nonlinearity and non-stationarity in the exchangerate behaviour, the TAR model is presented and used for the PPP in the Maghreb countries. The results indicate that the RER shows nonlinear behaviour.Moreover, The Moroccan Tunisian (DH/DT) bilateral exchangerate is found to be highly persistent and follows a random walk, whereas the two others(Algerian Moroccan and Algerian Tunisian bilateral real exchange rates) are characterised by partial unit roots. This implies that PPP holds in one threshold regime but not in the other.

A FI-STAR Approach to the Purchasing Power Parity in the North African Countries