In: Economics
Mining process equipment used as auxiliary equipment in the processing of copper concentrates has an installed cost of $200 000 with an estimated five year life and estimated salvage value of $15 000. Calculate the depreciation for a five year life using a) straight line method and b) the 200% DB method.
(a)
SL annual depreciation = (Cost - Salvage value) / Life = (200,000 - 15,000) / 5 = 185,000 / 5 = $37,000
Depreciation schedule as follows.
SLM | ||||
Year | Beginning-of-year Book Value ($) | Annual Depreciation ($) | Accumulated Depreciation ($) | End-of-Year Book Value ($) |
1 | 2,00,000 | 37,000 | 37,000 | 1,63,000 |
2 | 1,63,000 | 37,000 | 74,000 | 1,26,000 |
3 | 1,26,000 | 37,000 | 1,11,000 | 89,000 |
4 | 89,000 | 37,000 | 1,48,000 | 52,000 |
5 | 52,000 | 37,000 | 1,85,000 | 15,000 |
(b)
SL depreciation rate = 1/Life = 1/5 = 0.2
200% DB depreciation rate = 2 x SL rate = 0.4
Depreciation schedule as follows. This method ignores salvage value.
DDB | |||||
Year | Beginning-of-year Book Value ($) | Depreciation Rate | Annual Depreciation ($) | Cumulative Depreciation ($) | End-of-Year Book Value ($) |
1 | 2,00,000 | 0.4 | 80,000 | 80,000 | 1,20,000 |
2 | 1,20,000 | 0.4 | 48,000 | 1,28,000 | 72,000 |
3 | 72,000 | 0.4 | 28,800 | 1,56,800 | 43,200 |
4 | 43,200 | 0.4 | 17,280 | 1,74,080 | 25,920 |
5 | 25,920 | 0.4 | 10,368 | 1,84,448 | 15,552 |