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The mortgage pay off is not a factor when figuring out gain or loss. The sale uses the cost or value of the property against the selling price of the property which already factors in the purchase with the loan proceeds. In your case, as with any inherited property, you use value versus cost.
Inherited property usually has a stepped up basis which means the basis would be the value on the date of death, as long as there were no transactions prior to death where the property was transferred into any of the children's names by gift or sale. You would use a divided portion of the basis as your cost when entering the sale if there were more than one beneficiary.
The mortgage pay off is not a factor when figuring out gain or loss. The sale uses the cost or value of the property against the selling price of the property which already factors in the purchase with the loan proceeds. In your case, as with any inherited property, you use value versus cost.
Inherited property usually has a stepped up basis which means the basis would be the value on the date of death, as long as there were no transactions prior to death where the property was transferred into any of the children's names by gift or sale. You would use a divided portion of the basis as your cost when entering the sale if there were more than one beneficiary.
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