What are the chances of living in a world with no actual money ? 
Well, fiat money is given out by financial institutions that are big in size and are backed by the government. They make their earnings by charging fees for transactions and they will do everything to stay competitive. So I don't think that fiat money will be gone completely in the near future.
I believe this so. Government won't permit to happen that paper money will be gone and the replacement is such that they cannot control. I know how difficult for us that our money is depreciating in value and we are longing to change this. Though it is not impossible, but I guess it won't happen soon I think.