Depreciation by Three Methods; Partial Years
Perdue Company purchased equipment on April 1 for $43,470. The equipment was expected to have a useful life of three years, or 6,480 operating hours, and a residual value of $1,350. The equipment was used for 1,200 hours during Year 1, 2,300 hours in Year 2, 1,900 hours in Year 3, and 1,080 hours in Year 4.
Required:
Determine the amount of depreciation expense for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, by (a) the straight-line method, (b) units-of-output method, and (c) the double-declining-balance method.
Note: FOR DECLINING BALANCE ONLY, round the multiplier to four decimal places. Then round the answer for each year to the nearest whole dollar.

Question

27-04-2021
Business

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Depreciation by Three Methods; Partial Years
Perdue Company purchased equipment on April 1 for $43,470. The equipment was expected to have a useful life of three years, or 6,480 operating hours, and a residual value of $1,350. The equipment was used for 1,200 hours during Year 1, 2,300 hours in Year 2, 1,900 hours in Year 3, and 1,080 hours in Year 4.
Required:
Determine the amount of depreciation expense for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, by (a) the straight-line method, (b) units-of-output method, and (c) the double-declining-balance method.
Note: FOR DECLINING BALANCE ONLY, round the multiplier to four decimal places. Then round the answer for each year to the nearest whole dollar.

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amcool amcool · Answer 1 · 2021-04-28T11:56:03+02:00

Answer:

a. Straight-line method.

Year Depreciation expense ($)

1 10,530

2 14,040

3 14,040

4 3,510

b. Units-of-production method.

Year Depreciation expense ($)

1 7,800

2 14,950

3 12,350

4 7,020

c. Double-declining balance method

Year Depreciation expense ($)

1 21,735

2 14,490

3 4,830

4 1,065

Explanation:

(a) the straight-line method

Note: See part a of the attached excel file for the depreciation schedule for Straight-line method.

In the attached excel file, the depreciation rate used for the Straight-line method is calculated as follows:

Straight line depreciation rate = 1 / Estimated useful life = 1 / 3 = 0.3333, or 33.33%

(b) units-of-output method

Note: See part b of the attached excel file for the depreciation schedule for units-of-production method.

(c) the double-declining-balance method.

Note: See part c of the attached excel file for the depreciation schedule for double-declining-balance method.

In the attached excel file, the depreciation rate used for the Double- declining-balance method is calculated as follows:

Double-declining depreciation rate = Straight line depreciation rate * 2 = (1/3) * 2 = 0.666667, or 66.6667%

Note:

Under this double-declining-balance method, the depreciation expenses for Year 4 is calculated by deducting the residual value of $1,350 from the Year 4 Beginning depreciable amount (i.e. $2,415 - $1,350 = $1,065). The residual value of $1,350 therefore represents the book value at the end of Year 4.