I'm asked this question all the time, Brooks Duncan gives a clear, thoughtful and comprehensive answer. I agree 100%. Go read his post.
People often ask me if I recommend downloading paperless statements and bills, or if it is okay to leave them on the bank or other vendor’s website.
My answer to this is always the same: do whatever works for you, but I always recommend downloading your electronic documents.
Why is this?
You Need To Control Your Data