Monopoly chance card "move to" utility owned by person who recieved card
Nothing happens (or if you want to say he owes himself money you can).  Monopoly spells out what happens in the rules fairly well.  The Chance and Community Chest cards also do a good job of explaining what should happen.  Nothing in that Chance card says anything about the Bank paying in the event the property is owned by the player.  It simply says 


  If OWNED, throw dice and pay owner a total ten times the amount
  thrown.


"Pay" is clearly an instruction to the player who drew the card, not the bank.