Answer :
To calculate the straight-line depreciation rate, we first need to determine the depreciable cost of the equipment, which is the difference between the cost of the equipment and its estimated residual value.
Cost of equipment:
Purchase price: $225,600
Transportation charges: $400
Insurance: $1,100
Sales tax: $11,100
Special platform: $1,800
Total cost of equipment: $241,000
Residual value: $20,000
Depreciable cost = Total cost of equipment - Residual value
Depreciable cost = $241,000 - $20,000
Depreciable cost = $221,000
The depreciable cost of the equipment is $221,000.
Next, we calculate the straight-line depreciation rate using the formula:
Straight-line depreciation rate = (1 / Useful life) * 100%
Given that the useful life of the equipment is 5 years, we have:
Straight-line depreciation rate = (1 / 5) * 100%
Straight-line depreciation rate = 0.20 * 100%
Straight-line depreciation rate = 20%
Now, we can prepare the depreciation schedule for the straight-line method:
| Year | Asset Cost | Depreciation Expense | Accumulated Depreciation | Asset Book Value |
|------|------------|----------------------|--------------------------|------------------|
| 1 | $241,000 | $44,200 | $44,200 | $196,800 |
| 2 | $241,000 | $44,200 | $88,400 | $152,600 |
| 3 | $241,000 | $44,200 | $132,600 | $108,400 |
| 4 | $241,000 | $44,200 | $176,800 | $64,200 |
| 5 | $241,000 | $44,200 | $221,000 | $20,000 |
The straight-line depreciation expense per year is calculated as the depreciable cost divided by the useful life:
Depreciation expense = Depreciable cost / Useful life
Depreciation expense = $221,000 / 5
Depreciation expense = $44,200
This amount is consistent for each year of the asset's life, as shown in the depreciation schedule.
Cost of equipment:
Purchase price: $225,600
Transportation charges: $400
Insurance: $1,100
Sales tax: $11,100
Special platform: $1,800
Total cost of equipment: $241,000
Residual value: $20,000
Depreciable cost = Total cost of equipment - Residual value
Depreciable cost = $241,000 - $20,000
Depreciable cost = $221,000
The depreciable cost of the equipment is $221,000.
Next, we calculate the straight-line depreciation rate using the formula:
Straight-line depreciation rate = (1 / Useful life) * 100%
Given that the useful life of the equipment is 5 years, we have:
Straight-line depreciation rate = (1 / 5) * 100%
Straight-line depreciation rate = 0.20 * 100%
Straight-line depreciation rate = 20%
Now, we can prepare the depreciation schedule for the straight-line method:
| Year | Asset Cost | Depreciation Expense | Accumulated Depreciation | Asset Book Value |
|------|------------|----------------------|--------------------------|------------------|
| 1 | $241,000 | $44,200 | $44,200 | $196,800 |
| 2 | $241,000 | $44,200 | $88,400 | $152,600 |
| 3 | $241,000 | $44,200 | $132,600 | $108,400 |
| 4 | $241,000 | $44,200 | $176,800 | $64,200 |
| 5 | $241,000 | $44,200 | $221,000 | $20,000 |
The straight-line depreciation expense per year is calculated as the depreciable cost divided by the useful life:
Depreciation expense = Depreciable cost / Useful life
Depreciation expense = $221,000 / 5
Depreciation expense = $44,200
This amount is consistent for each year of the asset's life, as shown in the depreciation schedule.