Final answer:
Carter Company had an asset with a book value of $16,700 at the end of the eighth year. The asset was sold for $14,500, resulting in a loss of $2,200. The correct option is a $2,200 loss.
Step-by-step explanation:
To calculate the gain or loss on the disposal of an asset, Carter Company needs to determine the book value of the asset at the time of its sale. The original cost of the asset was $59,900, and the estimated residual value was $5,900. Depreciation expense is calculated using the straight-line method, which equalizes the expense over the estimated useful life of the asset. The formula for annual depreciation using the straight-line method is:
(Original Cost - Residual Value) / Useful Life = Annual Depreciation Expense
($59,900 - $5,900) / 10 years = $5,400 per year
Since the asset was disposed of at the end of the eighth year, total depreciation would be:
Annual Depreciation Expense x Number of Years = Accumulated Depreciation
$5,400 x 8 years = $43,200
The book value of the asset at the time of sale is:
Original Cost - Accumulated Depreciation = Book Value
$59,900 - $43,200 = $16,700
Now, by comparing the book value to the sale price, we can find out whether there was a gain or loss:
Sale Price - Book Value = Gain/Loss on Disposal
$14,500 - $16,700 = -$2,200
Therefore, Carter Company experienced a loss of $2,200 on the disposal of the asset. The correct option is $2,200 loss.