Doug Smith Industries purchased warehouses for $209 million (no residual value) at the beginning of 2018. The warehouses were being depreciated over a 10-year life using the sum-of-the-years'-digits method. At the beginning of 2021, management decided to change to straight-line. Ignoring taxes, the 2021 adjusting entry will include a debit to depreciation expense of: (Round your answer to 2 decimal places.):
Multiple Choice
$20.90 million
$102.60 million
$106.40 million
$15.20 million
The correct answer is option (D) $15.2 million
Purchase Cost - $209 million
Sum of Years' digits formula = N x ((N+1)/2) where N is useful life
2018 Depreciation - 10/55 * $209 million = $38 million
2019 Depreciation - 9/55 * $209 million = $34.2 million
2020 Depreciation - 8/55 * $209 million = $30.4 million
Accumulated Depreciation till December 31, 2020 = $38 m + $34.2 m + $30.4 m
= $102.6 million
Net Book Value as on December 31, 2020 = Purchase Cost - Accumulated Depreciation
= $209 m - $102.6 m
= $106.4 million
Depreciation per Straight Line Method for 2021 = NBV of warehouse as on 1/31/2021 / Useful Life Remaining
= 106.4 / 7
=$15.2 million
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