(a)Which depreciation method would maximize net income for financial statement reporting for the3-year period ending December 31, 2022? Prepare a schedule showing the amount ofaccumulated depreciation at December 31, 2022, under the method selected. Ignore presentvalue, income tax, and deferred income tax considerations | |||||
The straight-line method would provide the highest total net income for financial reporting over the three years, as it reports the lowest total depreciation expense. These computations are provided below: | |||||
(1) Straight-line: | |||||
Cost | $ 40,00,000.00 | ||||
Salvage value | $ 4,00,000.00 | ||||
Depreciable value | $ 36,00,000.00 | ||||
Life | 4 | ||||
Annual depreciation expense | $ 9,00,000.00 | ||||
Year | Depreciation Expense | Accumulated Depreciation | |||
2020 | $ 9,00,000.00 | $ 9,00,000.00 | |||
2021 | $ 9,00,000.00 | $ 18,00,000.00 | |||
2022 | $ 9,00,000.00 | $ 27,00,000.00 | |||
Total | $ 27,00,000.00 | ||||
(2) Double-declining balance: | |||||
Straight-line depreciation rate = 1/4 | 25% | ||||
Double-declining balance depreciation computed as 2 × SL rate × beginning NBV |
|||||
Year | Net book value at the beginning |
Depreciation Expense "Double-declining balance depreciation computed as 2 × SL rate × beginning NBV" |
Accumulated Depreciation | Net book
value, end of year |
|
2020 | $ 40,00,000.00 | $ 20,00,000.00 | $ 20,00,000.00 | $ 20,00,000.00 | |
2021 | $ 20,00,000.00 | $ 10,00,000.00 | $ 30,00,000.00 | $ 10,00,000.00 | |
2022 | $ 10,00,000.00 | $ 5,00,000.00 | $ 35,00,000.00 | $ 5,00,000.00 | |
Total | $ 35,00,000.00 | ||||
(3) Sum-of-the-years’-digits: | |||||
sum of the years' digits depreciation base = (Estimated life x Estimated life + 1)/2 | |||||
Sum of the years' digits depreciation = (4 x 5)/2 = | 10 | ||||
Year | Depreciation Expense | Accumulated Depreciation | |||
2020 | [(4/10) ×( $4,000,000 -400000)] | $ 14,40,000.00 | $ 14,40,000.00 | ||
2021 | [(3/10) ×( $4,000,000 -400000)] | $ 10,80,000.00 | $ 25,20,000.00 | ||
2022 | [(2/10) ×( $4,000,000 -400000)] | $ 7,20,000.00 | $ 32,40,000.00 | ||
Total | $ 32,40,000.00 | ||||
(4) Units-of-output: | |||||
Year | Expected | Depreciation | Accumulated | ||
Output | Expense | Depreciation | |||
Cost | 4000000 | 2020 | 14,000 | $ 10,08,000.00 | $ 10,08,000.00 |
Salvage value | 4,00,000 | 2021 | 13,000 | $ 9,36,000.00 | $ 19,44,000.00 |
Depreciable value | 36,00,000 | 2022 | 12,000 | $ 8,64,000.00 | $ 28,08,000.00 |
Expected life output | 50,000 | 2023 | 11,000 | $ 7,92,000.00 | $ 36,00,000.00 |
Unit depreciation expense | 72 | Total units | 50,000 | ||
b) Which depreciation method (MACRS or optional straight-line) would minimize net income for income tax reporting for the 3-year period ending December 31, 2022? | |||||
The method that minimizes income taxes in the third year is the double-declining-balance method, which produces the highest accumulated depreciation . |
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