Purpose: The objective of this paper is to determine the movements (long-term trend) of the exchange rate by forecasting the rate of return and risk (return to variability ratio, RVR) that financial assets have in two economies and for four different investments. Design/Methodology/Approach: Risk averse speculators will try to maximize their return and minimize their risk by investing domestically or abroad, but these capital flows will affect the value of the two currencies (their exchange rate). Findings: The empirical results show that before 2001 the return in the U.S. was high and the dollar was appreciated; after 2001, the same return became negative and the dollar was depreciated, but after 2004 the returns have growing positively fo...