What's the hypernym for “owned” and “rented”?

Question

If I must ask a person if his house is owned or rented, which word would make a proper relation?

I am looking for something like this:

What's your [...] with the Property (or Car, or Camera)? (Owned, rented.)

I want a single word to place in there, without rephrasing the question. And doesn't need to be just a real-estate property, the subject could be anything that can be owned or borrowed.

Answer 1

"Interest in." Or at least, that's the hypernym that would survive contact with a law professor.

Answer 2

If you can stand changing your preposition, you could say:

What's your relationship to the property?       Owned      Rented

(I don't consider renting borrowing, so I'm not sure what that part of your question is about.)

Answer 3

I think with may be wrong (using British English, I feel American English speakers overuse it, as with meet with and talk with).

"What's your tenure of the property?" looks reasonable, producing a reply like "I'm the owner/tenant of the property".

Answer 4

I don't think there's any English word that brings that relation immediately to mind. Assuming the question is on a form, I suggest working around the problem by writing something like:

I    own       rent     this property.
      (Circle one)

Answer 5

Occupancy status is a possible phrase.

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[Edit-1]
possession status is an alternative.