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On January 1, 2020, Sunland Corporation sold a building that cost $251,060 and that had accumulated depreciation of $109,510 on the date of sale. Sunland received as consideration a $241,060 non-interest-bearing note due on January 1, 2023. There was no established exchange price for the building, and the note had no ready market. The prevailing rate of interest for a note of this type on January 1, 2020, was 9%. At what amount should the gain from the sale of the building be reported? (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.)

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6 votes

Answer:

$44,592

Step-by-step explanation:

The book value of a building = Cost Price - Accumulated Depreciation

= $(251,060 - 109,510)

= $141,550

The present value of the non-interest-bearing note due on January 1, 2023 (or Discounted Cash Flow) =

FV/(1+i)^t

= $241,060/(1+0.09)^3

= $241,060/1.29503

= $186,142

Gain on Sale of the building = $(186,142 - 141,550) = $44,592

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