Possibly. You can deduct interest paid on a mortgage from a private party if all of the following apply:
- "Makes your ownership in a qualified home security for payment of the debt;
- Provides, in case of default, that your home could satisfy the debt; and
- Is recorded or is otherwise perfected under any state or local law that applies."
https://www.irs.gov/publications/p936#en_US_2018_publink1000229894
If your agreement with your relative meets the above criteria, then Yes, you can deduct the interest.
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