How can changes in foreign exchange rates affect the profitability of financial institutions? $($Check all that apply.$)$

Changes in foreign exchange rates:

A$.$ lead to central bank intervention in financial institutions' activities.

B$.$ cause changes in mortgage interest rates and other interest rates set by financial institutions.

C$.$ change the value of assets held by financial institutions.

D$.$ affect the profits made by traders in foreign exchange who work for financial institutions.

E$.$ do not affect the profitability of financial institutions if there is no central bank intervention.