My cousin has done a lot of research on this topic. He has found that most home printers do not have inks that are archival quality. You must research your printers inks to ensure they are archival quality. If not, most of our beautiful books we have made from our home printers will eventually fade.
However, I feel (and hope) that if a page is printed on acid free paper, stored in acid free sheet protectors in an air conditioned (temperature controlled) house, protected from the sun, my pages “should” last a long time. But, I no longer printout my pages with my computer. Instead, I make Photo Books, or Scrapbooks with real photos.
my cousin loves to print out his pages. He has found that the Epson R800 (or newer models) has inks that are considered archival quality. An 8×10 page costs about $1.85 to print out plus about $1.00 for the acid free paper. He prints out his pages using Scrapbook Factory Deluxe and uses a thermal binder to make books. He loves it.
A Note about Photo Paper
Not all inks and papers are the same. Some inks and papers will last longer than others. Please Google Willhelm Imaging Research for complete information. They have published permanence ratings for 4X6 photos