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On January 1, 2019, Vaughn Company, a small machine-tool manufacturer, acquired for $2,100,000 a piece of...

On January 1, 2019, Vaughn Company, a small machine-tool manufacturer, acquired for $2,100,000 a piece of new industrial equipment. The new equipment had a useful life of 5 years, and the salvage value was estimated to be $83,700. Vaughn estimates that the new equipment can produce 16,000 machine tools in its first year. It estimates that production will decline by 2,830 units per year over the remaining useful life of the equipment.

The following depreciation methods may be used: (1) straight-line, (2) double-declining-balance, (3) sum-of-the-years’-digits, and (4) units-of-output. For tax purposes, the class life is 7 years. Use the MACRS tables for computing depreciation.

(a1)

New attempt is in progress. Some of the new entries may impact the last attempt grading.Your answer is partially correct.

Compute accumulated depreciation under the following methods: (1) straight-line, (2) double-declining-balance, (3) sum-of-the-years’-digits, and (4) units-of-output for the 3-year period ending December 31, 2021. Ignore present value, income tax, and deferred income tax considerations. (Round cost per unit to 2 decimal places, e.g. 25.12. Round other intermediate calculations to 6 decimal places, e.g. 1.524687 amd final answers to 0 decimal places, e.g. 5,125.)

Accumulated Depreciation
Methods 2019 2020 2021
(1) Straight-line $ $ $
(2) Double-declining-balance $ $ $
(3) Sum-of-the-years'-digits $ $ $
(4) Units-of-output $ $ $

Solutions

Expert Solution

PARTICULARS AMOUNT IN $
COST OF EQUIPMENT 2100000
LIFE IN YEAR 5
SALVAGE 83700
NET VALUE 2016300
1 STRAIGHT LINE NET VALUE/LIFE
2016300/5 403260 Per year
2 DOUBLE DECLINING METHOD BOOK VALUE DEPRECIATION DEPRECIATION CLOSING VALUE
% AMOUNT
1/5*2
1 2100000 40% 840000 1260000
2 1260000 40% 504000 756000
3 756000 40% 302400 453600
4 453600 40% 181440 272160
5 272160 69% 188460 83700
TOTAL DEPRECIATION 2016300
BOOK VALUE CALCULATION DEPRECIATION DEPRECIATION
3 sum-of-the-years’-digits % AMOUNT
2016300 Year 1: 5/15 = 33.33% 33.33% 672100
2016300 Year 2: 4/15 = 26.67% 26.67% 537680
2016300 Year 3: 3/15 = 20% 20.00% 403260
2016300 Year 4: 2/15 = 13.33% 13.33% 268840
2016300 Year 5: 1/15 =6.67% 6.67% 134420
2016300
4 UNITS PRODUCED
Depreciation expense for a given year is calculated by dividing the original cost of the equipment
less its salvage value, by the expected number of units the asset should produce given its useful life
YEAR UNITS
CALCULATION UNITS PRODUCED.
1 16000 16000
2 16000-2830 13170
3 13170-2830 10340
4 10340-2830 7510
5 7510-2830 4680
TOTAL 51700
COST OF EQUIPMENT LESS SALVAGE 2016300
2016300/51700
DEPRECIATION/UNIT 39
5 MACRS DEPRECIATION LIFE 7 YEAR 2100000
1 7.14% 149940
2 14.29% 300090
3 14.29% 300090
4 14.28% 299880
5 14.29% 300090
6 14.28% 299880
7

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