For some time, I have predicted that the value of the Euro will fall. It has not happened yet.
When the UK signs Article 50 to formally start exiting the EU I expect the uncertainty may reduce the value of the UK Pound against several currencies, including the Euro. I suspect this will be a blip and by the end of 2017 the Euro will be well down against the UK Pound and US Dollar.
Not being a monetary expert, I could be totally wrong, but to me the EU is like a pressure cooker. The pressure (for change) is increasing and at some point this will hit crisis point.
I voted to "remain" in the UK referendum but I fail to see how the Euro (or the whole EU) can last without big changes. To me, the pressure for change is growing ever stronger. The German economy has most to lose.