This paper shows that tile symmetry restrictions commonly used to simp
ly the two-country, sticky-price monetary setup are not necessary for
tractability as previously thought. The paper also shows that the prac
tice of using these restrictions has obscurred the true long-run prope
rties of the sticky-price setup. The paper shows that although one-tim
e changes in money in the standard models of Frankel and. Hooper and M
orton lead to proportionate changes in the relative level of goods pri
ces (i.e., domestic minus foreign), the absolute levels of these varia
bles move disproportionately, with consequent movements in the steady-
state levels of real interest rates and real money balances.