Requirement 1:
Straight line:
i | ii | iii | iv = i - iii | |||||
Depreciation for the Year | ||||||||
Date |
Asset Cost |
Depreciable Cost |
Useful Life |
Depreciation Expense |
Accumulated Depreciation |
Book Value |
||
1-32018 | $74,700 | |||||||
12-31-2018 | $69,600 | / | 5 | = | $13,920 | $13,920 | $60,780 | |
12-31-2019 | $69,600 | / | 5 | = | $13,920 | $27,840 | $46,860 | |
12-31-2020 | $69,600 | / | 5 | = | $13,920 | $41,760 | $32,940 | |
12-31-2021 | $69,600 | / | 5 | = | $13,920 | $55,680 | $19,020 | |
12-31-2022 | $69,600 | / | 5 | = | $13,920 | $69,600 | $5,100 |
Units of production:
i | ii | iii | iv = i - iii | |||||
Depreciation for the Year | ||||||||
Date |
Asset Cost |
Miles |
Depreciable Rate |
Depreciation Expense |
Accumulated Depreciation |
Book Value |
||
1-32018 | $74,700 | |||||||
12-31-2018 | 20,000 | x | $0.75 | = | $15,000 | $15,000 | $59,700 | |
12-31-2019 | 20,000 | x | $0.75 | = | $15,000 | $30,000 | $44,700 | |
12-31-2020 | 20,000 | x | $0.75 | = | $15,000 | $45,000 | $29,700 | |
12-31-2021 | 20,000 | x | $0.75 | = | $15,000 | $60,000 | $14,700 | |
12-31-2022 | 12,800 | x | $0.75 | = | $9,600 | $69,600 | $5,100 |
Depreciation rate = Depreciable cost ÷ Total miles
= $69,600/92,800
=$0.75 per mile
Double-declining-balance:
i | ii | iii | iv = i - iii | |||||
Depreciation for the Year | ||||||||
Date |
Asset Cost |
Beginning Book value |
Depreciable Rate |
Depreciation Expense |
Accumulated Depreciation |
Ending Book value |
||
1-32018 | $74,700 | |||||||
12-31-2018 | $74,700 | x | 40% | = | $29,880 | $29,880 | $44,820 | |
12-31-2019 | $44,820 | x | 40% | = | $17,928 | $47,808 | $26,892 | |
12-31-2020 | $26,892 | x | 40% | = | $10,757 | $58,565 | $16,135 | |
12-31-2021 | $16,135 | x | 40% | = | $6,454 | $65,019 | $9,681 | |
12-31-2022 | $9,681 | x | 40% | = | $4,581 | $69,600 | $5,100 |
Depreciation rate = Straight line rate x 2
= (13,920/69,600 x 100) x 2
= 20% x 2
= 40%
Requirement 2:
Straight line depreciation method meets the company's objective because it has lowest depreciation expense in the first year. If the expense is lower then the net income to be higher.
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