I think the paper money will continue to exist, just as the document that is still printed on paper. Although everything is sophisticated, obviously proof in writing still needed. I'm sure, paper money would never disappear.
I do believe too that paper money will not disappear and only government can decide if it is going to be cut out of the circulation, but with regards to the documents, well, I think there is a chance that it will be gone soon...
Just take a look at the birth certificate in some countries, the government agency that handles it has a soft copy of it and just print out a copy if you need one.. What I mean is probably sooner or later this paper requirements might be accepted even if it is soft copy... One more thing is the ID's it is now being put into one single ID and scanned, what more in the future?