This thesis consists of four papers, of which paper 1 and 4 are co-written with Mikael Bask. Paper [1] implements chartists trading in a sticky-price monetary model for determining the exchange rate. It is demonstrated that chartists cause the exchange rate to "overshoot the overshooting equilibrium" of a sticky-price monetary model. Chartists base their trading on a short-long moving average. The importance of technical trading depends inversely on the time horizon in currency trade. The exchange rate's perfect foresight path near long-run equilibrium is derived and it is demonstrated that the shorter the time horizon, the greater the exchange rate overshooting. The aim of Paper [2] is to see how the dynamics of the basic target zone model...