Double Declining Balance Method Example 1
1. double declining balance method
Cost of asset = $100,000
Estimated residual value = $10,000
Estimated useful life of asset = 5 years
Depreciation rate = (1/useful life) x 200%
= 1/5 x 200% = 20% x 2 = 40%
Example 1 Summary
(*) depreciation stops when book value = residual value
[Year 1]
Depreciation amount for year 1
= beginning book value x depreciation rate
= $100,000 x 40% = $40,000
Accumulated depreciation at the end of year 1 = $40,000
Book value at the end of year 1
= $100,000 - $40,000 = $60,000
[Year 2]
Depreciation amount for year 2
= beginning book value x depreciation rate
= $60,000 x 40% = $24,000
Accumulated depreciation at the end of year 2
= $40,000 + $24,000 = $64,000
Book value at the end of year 2
= $100,000 - $64,000 = $36,000
[Year 3]
Depreciation amount for year 3
= beginning book value x depreciation rate
= $36,000 x 40% = $14,400
Accumulated depreciation at the end of year 3
= $40,000 + $24,000 + $14,400 = $78,400
Book value at the end of year 3
= $100,000 - $78,400 = $21,600
[Year 4]
Depreciation amount for year 4
= beginning book value x depreciation rate
= $21,600 x 40% = $8,640
Accumulated depreciation at the end of year 4
= $40,000 + $24,000 + $14,000 + $8,640 = $87,040
Book value at the end of year 4
= $100,000 - $87,040 = $12,960
[Year 5]
Depreciation amount for year 5
= beginning book value x depreciation rate
= $12,960 x 40% = $5,184 ??
[NOTE]
For year 5, depreciation amount will not be $5,184.
If $5,280 is depreciated,
--> book value = $13,200 - $5,184 = $7,776
--> book value < residual value
Depreciation stops when book value = residual value
--> depreciation amount for year 5 = $2,960
--> book value = $12,960 - $2,960 = $10,000
1. double declining balance method
Cost of asset = $100,000
Estimated residual value = $10,000
Estimated useful life of asset = 5 years
Depreciation rate = (1/useful life) x 200%
= 1/5 x 200% = 20% x 2 = 40%
Example 1 Summary
| Year | Cost | Depreciation Rate | Depreciation | Accumulated Depreciation | Book Value |
| 1 | $100,000 | 40% | $40,000 | $40,000 | $60,000 |
| 2 | 40% | $24,000 | $64,000 | $36,000 | |
| 3 | 40% | $14,400 | $78,400 | $21,600 | |
| 4 | 40% | $8,640 | $87,040 | $12,960 | |
| 5 | 40% | $2,960 (*) | $90,000 | $10,000 |
(*) depreciation stops when book value = residual value
[Year 1]
Depreciation amount for year 1
= beginning book value x depreciation rate
= $100,000 x 40% = $40,000
Accumulated depreciation at the end of year 1 = $40,000
Book value at the end of year 1
= $100,000 - $40,000 = $60,000
[Year 2]
Depreciation amount for year 2
= beginning book value x depreciation rate
= $60,000 x 40% = $24,000
Accumulated depreciation at the end of year 2
= $40,000 + $24,000 = $64,000
Book value at the end of year 2
= $100,000 - $64,000 = $36,000
[Year 3]
Depreciation amount for year 3
= beginning book value x depreciation rate
= $36,000 x 40% = $14,400
Accumulated depreciation at the end of year 3
= $40,000 + $24,000 + $14,400 = $78,400
Book value at the end of year 3
= $100,000 - $78,400 = $21,600
[Year 4]
Depreciation amount for year 4
= beginning book value x depreciation rate
= $21,600 x 40% = $8,640
Accumulated depreciation at the end of year 4
= $40,000 + $24,000 + $14,000 + $8,640 = $87,040
Book value at the end of year 4
= $100,000 - $87,040 = $12,960
[Year 5]
Depreciation amount for year 5
= beginning book value x depreciation rate
= $12,960 x 40% = $5,184 ??
[NOTE]
For year 5, depreciation amount will not be $5,184.
If $5,280 is depreciated,
--> book value = $13,200 - $5,184 = $7,776
--> book value < residual value
Depreciation stops when book value = residual value
--> depreciation amount for year 5 = $2,960
--> book value = $12,960 - $2,960 = $10,000
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