In: Economics
Initial Cost = $20000
Life = 5 Years
Salvage Value = $5000
1) DDB method-
Depreciation Factor = 2 * ( 20000 - 5000 ) / 5 = 40%
1st year,
20000 * 0.4 = 8000
Book value = 20000 - 8000 = 12000
Year | Beginning | Depreciation | Depreciation | Accumulated | Ending |
Book Value | Percent | Amount | Depreciation | Book Value | |
1 | 20000 | 0.40 | 8000 | 8000 | 12000 |
2 | 12000 | 0.40 | 4800 | 12800 | 7200 |
3 | 7200 | 0.31 | 2200 | 15000 | 5000 |
4 | 5000 | 0.00 | 0 | 15000 | 5000 |
5 | 5000 | 0.00 | 0 | 15000 | 5000 |
The depreciation percent will change because the total depreciation
amount using earlier rate will be more than the ending book
value.
2) Some of Years
Some of the years of total life
( 5+4+3+2+1 ) = 15
1st year depreciation
5 / 15 = 0.333 or 33%
15000 * 0.33 = 5000
Ending book value = 20000 - 5000 = 15000
2nd year
15000 * ( 4/15 ) = 15000 * 0.2667
= 4000
Ending Book value = 15000 - 4000 = 11000
Year | Beginning | Depreciable | Depreciation | Depreciation | Accumulated | Ending |
Book Value | Amount | Percent | Amount | Depreciation | Book Value | |
1 | 20000 | 15000 | 0.3333 | 5000 | 5000 | 15000 |
2 | 15000 | 15000 | 0.2667 | 4000 | 9000 | 11000 |
3 | 11000 | 15000 | 0.2000 | 3000 | 12000 | 8000 |
4 | 8000 | 15000 | 0.1333 | 2000 | 14000 | 6000 |
5 | 6000 | 15000 | 0.0667 | 1000 | 15000 | 5000 |
3) MACRS - 5 year
The depreciation percent is provided by the income tax
department
1st year
20000 * 0.2 = 4000
Book value = 20000 - 4000 = 16000
2nd year,
20000 * 0.32 = 6400
Ending book value
16000 - 6400 = 9600
Year | Beginning | MACRS | Depreciation | Cumulative | Ending | Depreciation |
Book Value | Depreciation % | Amount | Depreciation | Book Value | Method | |
1 | 20000 | 20 | 4000 | 4000 | 16000 | DB |
2 | 16000 | 32 | 6400 | 10400 | 9600 | DB |
3 | 9600 | 19.2 | 3840 | 14240 | 5760 | DB |
4 | 5760 | 11.52 | 2304 | 16544 | 3456 | SL |
5 | 3456 | 11.52 | 2304 | 18848 | 1152 | SL |
6 | 1152 | 5.76 | 1152 | 20000 | 0 | SL |