Thorn:
The good news is that you do not have to add the $37,000 you received on the house sale. The basis for your mom's house was stepped up when she died to the Fair Market Value on the date she died. We can use the appraised value of $46,000 for that purpose. Since you effectively sold the house at a loss, no income was realized and no taxes are due.
The bad news is that you cannot deduct the loss on the sale of personal property. Now, had you rented the house for, say, two years, then sold it at a loss, that would be deductible. That does not appear to be the case here; sorry!
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