Question

On July 1, 2020, Sarasota Company purchased for $5,760,000 snow-making equipment having an estimated useful life of 5 years with an estimated salvage value of $240,000. Depreciation is taken for the portion of the year the asset is used. Complete the form below by determining the depreciation expense and year-end book values for 2014 and 2015 using the
1. Sum-of-the-years'-digits method.
2. Double-declining balance method.

a.
Sum-of-the-Years'-Digits Method 2014 2015
Equipment $2,880,000 $2,880,000
Less: Accumulated Depreciation
Year-End Book Value
Depreciation Expense for the Year

b.
Double-Declining Balance Method 2014 2015
Equipment $2,880,000 $2,880,000
Less: Accumulated Depreciation
Year-End Book Value
Depreciation Expense for the Year

Assume the company had used straight-line depreciation during 2014 and 2015. During 2016, the company determined that the equipment would be useful to the company for only one more year beyond 2016. Salvage value is estimated at $160,000.
Compute the amount of depreciation expense for the 2016 income statement.

Answer 1

Answer:

1. We have:

Depreciation expense for 2014 = $920,000

Depreciation expense for 2015 = $1,472,000

2. We have:

Depreciation expense for 2014 = $1,152,000

Depreciation expense for 2015 = $1,843,200

3. Depreciation expense for 2016 = $1,972,000

Explanation:

1. Sum-of-the-years'-digits method.

Depreciable amount = Equipment cost – Salvage value = $5,760,000 - $240,000 = $5,520,000

Sum of the year digits = 5 + 4 + 3 + 2 + 1 = 15

Depreciation expense for a year = Depreciable amount * (Remaining years / Sum of the year digits) ………. (1)

Using equation (1), we have:

Depreciation expense for 2014 = $5,520,000 * (5 / 15) * (6 / 12) = $920,000

Depreciation expense for 2015 = $5,520,000 * (4 / 15) = $1,472,000

Accumulated depreciation at the end of 2015 = $920,000 + $1,472,000 = $2,392,000

Therefore, we have:

Sum-of-the-Years'-Digits Method                    2014                        2015  

Equipment                                                    $5,760,000             $5,760,000

Less: Accumulated Depreciation                 (920,000)               (2,392,000)

Year-End Book Value                                    4,600,000              3,128,000

Depreciation Expense for the Year                920,000                1,472,000

2. Double-declining balance method.

Depreciable amount = Equipment cost – Salvage value = $5,760,000 - $240,000 = $5,520,000

Double-declining depreciation rate = Straight line depreciation rate * 2 = (1 / Number of estimated useful life) * 2 = (1 / 5) * 2 = 0.40, or 40%

Depreciation expense for 2014 = Equipment cost * Double-declining depreciation rate = $5,760,000 * 40% * (6 / 12) = $1,152,000

Depreciation expense for 2015 = (Equipment cost - 2014 Depreciation expense) * Double-declining depreciation rate = ($5,760,000 - $1,152,000) * 40% = $1,843,200

Accumulated depreciation at the end of 2015 = $1,152,000 + $1,843,200= $2,995,200

Note that under Double-declining balance method, the salvage value is not considered until the last year of the asset.

Therefore, we have:

Double-Declining Balance Method                  2014                        2015    

Equipment                                                    $5,760,000              $5,760,000

Less: Accumulated Depreciation                 (1,152,000)              (2,995,200)

Year-End Book Value                                    3,456,000               2,073,600

Depreciation Expense for the Year              1,152,000                  1,843,200

3. Compute the amount of depreciation expense for the 2016 income statement.

Straight line depreciation rate = 1 / Number of estimated useful life = 1 / 5 = 0.20, or 20%

Depreciable amount = Equipment cost – Salvage value = $5,760,000 - $240,000 = $5,520,000

Depreciation expense for 2014 = Depreciable amount * Straight line depreciation rate * (6 / 12) = $5,520,000 * 20% * (6 / 12) = $552,000

Depreciation expense for 2015 = Depreciable amount * Straight line depreciation rate = $5,520,000 * 20% = $1,104,000

Accumulated depreciation at the end of 2015 = $552,000 + $1,104,000 = $1,656,000

Net book value at end of 2015 = Equipment cost - Accumulated depreciation at the end of 2015 = $5,760,000 - $1,656,000 = $4,104,000

Depreciation expense for 2016 = (Net book value at end of 2015 - New Salvage value) / Remaining useful years = ($4,104,000 - $160,000) / 2 = $1,972,000