Speedy Delivery Company purchases a delivery van for $32,000. Speedy estimates that at the end of its four-year service life, the van will be worth $6,000. During the four-year period, the company expects to drive the van 130,000 miles. Actual miles driven each year were 35,000 miles in year 1 and 38,000 miles in year 2.

Required:
Calculate annual depreciation for the first two years of the van using each of the following methods.

Respuesta :

Answer:

(1) Straight-line.

Year 1 depreciation expense = $6,500

Year 2 depreciation expense = $6,500

(2) Double-declining-balance.

Year 1 depreciation expense = $16,000

Year 2 depreciation expense = $8,000

(3) Activity-based.

Year 1 depreciation expense = $7,000

Year 1 depreciation expense = $7,600

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Speedy Delivery Company purchases a delivery van for $32,000. Speedy estimates that at the end of its four-year service life, the van will be worth $6,000. During the four-year period, the company expects to drive the van 130,000 miles. Actual miles driven each year were 35,000 miles in year 1 and 38,000 miles in year 2.

Required:

Calculate annual depreciation for the first two years of the van using each of the following methods.

(1) Straight-line.

(2) Double-declining-balance.

(3) Activity-based.

The explanation of the answers is now given as follows:

(1) Straight-line.

Depreciable amount = Cost of the delivery van – Salvage value = $32,000 - $6,000 = $26,000

Annual depreciation rate = 1 / Number of useful years = 1 / 4 = 0.25, or 25%

Year 1 depreciation expense = Depreciable amount * Annual depreciation rate = $26,000 * 25% = $6,500

Year 2 depreciation expense = Depreciable amount * Annual depreciation rate = $26,000 * 25% = $6,500

(2) Double-declining-balance.

Note: The salvage value is taken care of in the computation of the depreciation expense for the last useful year under the double-declining-balance method.

Therefore, we have:

Cost of the delivery van = $32,000

Annual depreciation rate = Straight line annual depreciation rate * 2 = 25% * 2 = 50%

Year 1 depreciation expense = Cost of the delivery van * Annual depreciation rate = $32,000 * 50% = $16,000

Book value at the end of year 1 = Cost of the delivery van - Year 1 depreciation expense = $36,000 - $16,000 = $16,000

Year 2 depreciation expense = Book value at the end of year 1 * Annual depreciation rate = $16,000 * 50% = $8,000

(3) Activity-based.

Depreciable amount = Cost of the delivery van – Salvage value = $32,000 - $6,000 = $26,000

Depreciation rate = Actual miles driven each year / Expected driven miles for four years ……….. (1)

Depreciation expense for each year = Depreciable amount * Depreciation rate …………… (2)

Using equations (2), we have:

Year 1 depreciation expense = $26,000 * (35,000 / 130,000) = $7,000

Year 1 depreciation expense = $26,000 * (38,000 / 130,000) = $7,600