Actually I don't know about recruiting in Finland. It may be much more open than in the US and UK.
You have an uphill battle, but with two years left on your degree you aren't completely out of it.
Fuji is right that IB certainly doesn't sound for you. Asset Management or Trading may be, however. Do you prefer really faced paced (trading) or a structured approach to long term management of a portfolio?
I've never done trading, so someone else here can probably...