This study aims to focus on investigating energy exchange via phase planes of exchange rates and stock prices, given that phase planes have important roles in functional data analysis. The relationship between these two variables which has been the main scope of many previous research, with respect to whether they change concordantly or discordantly during periods with and without economic crisis were also investigated from a different point of view. Period with economic crisis were represented by 1994, 1997 and 2001 years, while periods without economic crisis were represented by 2003-2006 years. Besides, previous studies performed in this topic were investigated by a detailed literature review. In general, it was found out that energy exchange in stock prices was more prominent during periods with crisis, whereas energy exchange in exchange rate was more remarkable during periods without crisis. However, no definite positive or negative relationship between these two variables was detected in the present study.