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In a house with shared ownership, if one person moves out and the other assumes mortgage, how do we determine who owns what share in the end?
This is typically an issue for local law and regulation.  Once one person moves out, I would recommend one of the following options: Generally speaking, if there are clear records of all of the payments made by both parties, all of the costs associated with the maintenance and who made what use of the place, the final ownership can be resolved fairly even in the absence of a clear agreement. The pain and hassle to do it, though, is generally not worth the effort - even if it's an amicable relationship between the two owners. Your best bet is to agree as early as possible on what you plan to do, and to write it down - if you didn't have a contract before moving in together, write one up now.