Question

In: Economics

Mining process equipment used as auxiliary equipment in the processing of copper concentrates has an installed...

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.

Solutions

Expert Solution

(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

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