In 2002, we refinanced the loan for $120k with $50k cashout to remodel in 2002 and 2003. The home appraised for $170k in 2002 for the lender. We also took out another loan for $20k in 2007 for additional improvements. In 2016 we sold the home for $289K. Also, how do we handle the improvements of $50K? Do we add these to the basis or not since it is included in the refi loan amount? Please help!
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Any loans are completely irrelevant. Your cost basis is what you paid (or the value of the gift) plus the cost of your improvements. You received a gift of equity from your in-laws so you received their basis of $65,000. If you made $50,000 of improvements, then your total adjusted basis is $115,000.
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