Anticresis
dayvancowboy.org
dayvancowboy.org
That writeup includes some of today's most astounding terminologizing. I believe "habitation services" sits in logical place of "housing" at some point there.
Shared equity mortgage is somewhat similar to anticresis, only entirely different. No equity or property rights are transferred in anticresis, on one hand, and on the other habitation rights are kept until the loan is repaid, so it's more like collateralized debt, other than the collateral is ex ante "transferred" (but not really).