In: Economics
A large profitable corporation purchased a small jet plane for use by its executives. The plane cost $3,500,000. It has a depreciable life of seven years and $0 salvage value. Develop the complete depreciation schedule for the plane showing year-by-year depreciation charges and book values, using:
(c) the DDB method with switch to SL,
(d) MACRS depreciation.
(c)
Swtching to Straight line method (SLM) is done in the year when DDB Annual depreciation is less than SLM Annual depreciation.
SLM Annual depreciation ($) = Cost / Useful life = 3,500,000 / 7 = 500,000
SLM Depreciation rate = 1 / Useful life = 1/7
DDB Depreciation rate = 2 x SLM rate = 2/7
Depreciation schedule is as follows.
(Values in $) | ||||||
YEAR | Beginning Book Value | DB Depreciation | SL Depreciation | Switch? | Annual Depreciation | Ending Book Value |
1 | 35,00,000 | 10,00,000 | 5,00,000 | NO | 10,00,000 | 25,00,000 |
2 | 25,00,000 | 7,14,286 | 5,00,000 | NO | 7,14,286 | 17,85,714 |
3 | 17,85,714 | 5,10,204 | 5,00,000 | YES | 5,00,000 | 12,85,714 |
4 | 12,85,714 | 3,67,347 | 5,00,000 | YES | 5,00,000 | 7,85,714 |
5 | 7,85,714 | 2,24,490 | 5,00,000 | YES | 5,00,000 | 2,85,714 |
6 | 2,85,714 | 81,633 | 5,00,000 | YES | 5,00,000 | -2,14,286 |
(d) MACRS depreciation schedule (assuming 7-year property class) is as follows.
Year | Depreciation Base ($) | Depreciation rate (%) | Annual Depreciation ($) | Ending Book Value ($) |
1 | 35,00,000 | 14.29 | 5,00,150 | 29,99,850 |
2 | 35,00,000 | 24.49 | 8,57,150 | 21,42,700 |
3 | 35,00,000 | 17.49 | 6,12,150 | 15,30,550 |
4 | 35,00,000 | 12.49 | 4,37,150 | 10,93,400 |
5 | 35,00,000 | 8.93 | 3,12,550 | 7,80,850 |
6 | 35,00,000 | 8.92 | 3,12,200 | 4,68,650 |
7 | 35,00,000 | 8.93 | 3,12,550 | 1,56,100 |
8 | 35,00,000 | 4.46 | 1,56,100 | 0 |