Elhanan Helpman, Efraim Sadka; Consumption Versus Wage Taxation*, The Quarterly Journal of Economics, Volume 97, Issue 2, 1 May 1982, Pages 363–372, https://doi

We study the full equilibrium dynamics of a two-country world economy with a floating exchange rate, traded and nontraded goods, and explicit modeling of the use of money. The resulting exchange rate equation depends on several details of the economic structure, such as the supply structure and propensities to spend on various goods. Although real exchange rate movements have the usual association with the current account, the ordinary exchange rate may appreciate or depreciate when there are deficits on current account even when the quantities of money do not change. Deviations from purchasing-power parity and the Fisher equation are shown to be the rule rather than the exception.

We study the full equilibrium dynamics of a two-country world economy with a floating exchange rate, traded and nontraded goods, and explicit modeling of the use of money. The resulting exchange rate equation depends on several details of the economic structure, such as the supply structure and propensities to spend on various goods. Although real exchange rate movements have the usual association with the current account, the ordinary exchange rate may appreciate or depreciate when there are deficits on current account even when the quantities of money do not change. Deviations from purchasing-power parity and the Fisher equation are shown to be the rule rather than the exception.