I wouldn't wait for investigations to be complete. Instead, I would take part in it and provide any information required. As you haven't done anything wrong, it would help if you liaised with the bank and the police to get to the root of this. Get actively involved.
I agree 100%. Folks under investigation who immediately go on the offensive are just putting a bigger target on their back.
Assuming that you have done nothing wrong or even questionable, showing that you are not only willing but also eager to assist the investigation is always a good thing.