Final answer:
The patent should be carried at its recoverable amount of $3,050,000 on the December 31, 2013 balance sheet, after recognizing an impairment loss of $1,200,000.
Step-by-step explanation:
On December 31, 2013, Kust Company must assess the carrying amount of the patent on its balance sheet. The company initially recorded the patent at the acquisition cost of $5,100,000 with a 12-year life, implying straight-line amortization. The amortization expense for each full year would be $425,000 ($5,100,000 / 12 years). By the end of 2013, two years of amortization would have been recognized, totaling $850,000 ($425,000 per year x 2 years). Therefore, the book value of the patent prior to any impairment test at the end of 2013 is $5,100,000 - $850,000 = $4,250,000.
However, the expected future cash flows have fallen to $3,050,000, which is below the patent's book value. According to accounting principles, if the recoverable amount (present value of future cash flows) of an asset is less than its carrying amount, an impairment loss should be recognized. Therefore, the patent should be carried at its recoverable amount of $3,050,000 on the December 31, 2013 balance sheet. An impairment loss of $1,200,000 ($4,250,000 - $3,050,000) would be recognized.