As they cannot afford the mortgage payments, they are faced with the eventual loss of their home.
Advanced English Dictionary
+adjective [only before noun] happening at the end of a period of time or of a process: the eventual winner of the tournament + It is impossible to predict what the eventual outcome of global warming will be. + The village school may face eventual closure.
Random quote: Wicked people are always surprised to find ability in those that are good.: Marquis Vauvenargues