This paper develops a general macromodel which is able to describe avariety of exchange regimes, including flexible exchange rates, ordinary two-tier exchange rates, and two-tier float exchange rates. The main purpose of the analysis is to examine the insulation function of eachexchange-rate system in the presence of currency substitution. The majorfinding is that, among three exchange-rate systems, the two-tier floatregime is the unique system which can provide complete insulation fromforeign inflation.