Yes, there is no cost basis for the house since it was fully depreciated before the trade. The land is an appreciable asset and never changes.
If there was any 'buy up' in the exchange, then there would be a new asset. I think the details below will help you with the numbers.
Depreciation Rules:
The basic concept of a 1031 exchange is that the basis of your Old Property rolls over to your New Property. In other words, if you sold your Old Property for $100,000, and bought your New Property for the same, your basis on the New Property would be the same. It makes sense then that your depreciation schedule would be exactly the same, and does not change! In other words, you continue your depreciation calculations as if you still own the Old Property (your acquisition date, cost, previous depreciation taken, and remaining un-depreciated basis remain the same).
Buy Up:
If you 'buy up' in your exchange (your New Property cost more than you sold your Old Property), the answer is easy – you treat the buy up part as you would a new addition to an existing property. In other words, you treat the amount of the buy-up the same as you would the cost of construction, for example, of a garage added to an existing house – the cost is the amount of the buy-up; the date you start depreciating it is the date you purchased the new property; and the depreciation method you use is the method most appropriate for that type of property in the year you bought the New Property (regardless of the method you used for the original house). If you think of it this way, then it's easy, even if your property is a large office building or a more complex purchase.
Boot: Any property or money you might have received that is unlike property in the exchange would be immediately subject to capital gains tax.
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