We suggest how to redefine the multicointegration model of Granger and
Lee (1990) in terms of an I(2) system and subsequently propose a one-
step procedure for estimation and inference which will have favourable
statistical properties compared to the two-step procedure suggested b
y Granger and Lee. With respect to the single equation residual based
cointegration procedure for I(2) systems we tabulate new critical valu
es that are necessary to accommodate the presence of deterministic com
ponents. (C) 1997 Elsevier Science S.A.