One cost involved in going from an adjustable peg exchange rate regime
to a system of irrevocably fixed exchange rates, by the introduction
of a single currency, is that the participating members will forego th
e option to realign that is inherent in any adjustable peg system. Thi
s issue is of relevance in Europe, where the introduction of a Europea
n Monetary Union and a single currency is actively contemplated. This
paper values the option to realign using recently developed methods of
optimal regulation of Brownian motion, as exposited by Dixit (1991).