I challenge the premise that paperless is actually green. Cellulose is rather difficult to biodegrade (if it weren't, all the trees in the world would be eaten to mush). Trees for paper making are generally farmed wood. So keeping your paper statement (even if you throw it out later) acts as a carbon sink. Hence it is good for the environment. Plus, you don't have to deal with the "whoops, that statement you need is too old" issue.