Question

In: Economics

Please show all steps: An asset was purchased for $80,000. It has a 5 year life....

Please show all steps:

An asset was purchased for $80,000. It has a 5 year life. The asset is expected to have a salvage value of $10,000 after the five years. Show the depreciation and remaining book value for this asset for each of the 5 years using Double Declining Balance depreciation.

Solutions

Expert Solution

Asset Value = $80,000

Life = 5 years

Salvage value = 10,000

Depreciation rate = 1 / Useful Life = 1 / 5 = 20%

Double declining balance formula = 2 * Depreciation Rate = 20% * 2 = 40%

Depreciation = 40% of Book Value at the beginning of the year.

Booking Value at the end of the year = Booking Value at the beginning of the year - Depreciation

Year Book Value at the beginning of the year Depreciation Booking Value at the end of the year
1 80,000                 32,000 48,000
2 48,000                 19,200 28,800
3 28,800                 11,520 17,280
4 17,280                   6,912 10,368
5 10,368                       368 10,000

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