Accounting Solution 8.1 (Accounting for Long-term Assets)
a) Straight-line method:
The formula to determine depreciation under this method is shown
below:
(Historical Cost - Salvage Value) / Useful Life
So, the depreciation expense is calculated as follows:
($12,000 + $1,000 - $4,000) / 3 years = $3,000 per year
Double-declining balance method:
To begin with, we need to calculate the double-declining rate. This is done by multiplying the straight-line rate by 2: (100% / 3 years) x 2 = 66% (rounded). Next, in the table below we determine depreciation for three years:
| Year |
Book Value at |
x |
Double the |
= |
Depreciation |
|
| 20X8 |
(13,000 - 0) |
x |
66% |
= |
$8,580 |
|
| 20X9 |
(13,000 - 8,580) |
x |
66% |
= |
|
420 |
| 20X0 |
(13,000 - 1,502.8) |
x |
66% |
= |
|
0 |
Remember that we do not subtract the salvage value from the purchase price under this method. Also note that in 20X9, only $420 can be depreciated to arrive at the salvage value, so we do not accept $2,917.2 provided by computations. The same is true for the last (20X0) year.
Units-of-production method:
We need to calculate the cost per unit as presented below:
(Historical Cost - Salvage Value) / Tons
So, the cost per ton is calculated as follows:
($12,000 + $1,000 - $4,000) / 30,000 = $0.3 per ton
The table below gives further computations:
| Year |
Year Cost |
x |
Number |
= |
Depreciation |
| 20X8 |
0.3 |
x |
8,000 |
= |
$2,400 |
| 20X9 |
0.3 |
x |
5,000 |
= |
$1,500 |
| 20X0 |
0.3 |
x |
17,000 |
= |
$5,100 |
Sum-of-the-years method:
To begin with, we need to determine the factor. The sum of year digits is 3 + 2 + 1 = 6.
Next, in the the table below we calculate depreciation expense for three years:
| Year |
Depreciable |
x |
Factor |
= |
Depreciation |
| 20X8 |
9,000 |
x |
= |
||
| 20X9 |
9,000 |
x |
= |
||
| 20X0 |
9,000 |
x |
= |
* Depreciable cost: ($12,000 + $1,000) - $4,000 = $9,000
b) The journal entries are below (double-declining depreciation expenses are show for three years):
| Event No. |
Account titles |
Debit |
Credit |
| 1 |
Equipment Cash |
13,000 | 13,000 |
| 2a |
Depreciation Expense Accumulated Depreciation |
8,580 | 8,580 |
| 2b |
Depreciation Expense Accumulated Depreciation |
420 | 420 |
| 2c |
Depreciation Expense Accumulated Depreciation |
0 | 0 |
| 3 |
Cash Accumulated Depreciation Loss on Sale of Computer Equipment |
3,000 9,000 1,000 |
13,000 |