Math Problem Statement
Solution
To solve this problem, let's go through each step carefully.
Given Information
- Initial Cost of Machine: $19,200
- Estimated Life: 4 years
- Initial Salvage Value: $1,950
- Straight-Line Depreciation
After two years:
- Revised Salvage Value: $1,500
- Remaining Useful Life: 3 years
Required 1: Compute Book Value at the End of Year 2
For straight-line depreciation, the formula is:
Step 1: Calculate initial annual depreciation:
Step 2: Compute depreciation over the first two years:
Step 3: Calculate Book Value at the end of Year 2:
So, the book value at the end of the second year is $10,575.
Required 2: Revised Depreciation for Years 3–5
Now that the machine has a revised salvage value and remaining useful life, let's compute the new depreciation.
- Book Value at Point of Revision (start of Year 3): $10,575
- Revised Salvage Value: $1,500
- Remaining Useful Life: 3 years
Step 1: Calculate Remaining Depreciable Cost
Step 2: Calculate Revised Annual Depreciation (for Years 3–5)
Therefore, the revised annual depreciation for each of the final three years is $3,025.
Summary of Answers
- Book Value at End of Year 2: $10,575
- Revised Annual Depreciation (Years 3–5): $3,025
Would you like more details on any of these calculations or have questions?
Here are 5 related questions to expand on this topic:
- How would the depreciation change if the salvage value was increased instead of decreased?
- What would the book value be at the end of Year 4 using the revised depreciation?
- How would double-declining balance depreciation compare with straight-line in this scenario?
- If the useful life was extended to 5 years, how would the depreciation calculation change?
- How would you calculate accumulated depreciation at the end of Year 5?
Tip: When using straight-line depreciation, always review the salvage value and useful life regularly, as changes will impact annual depreciation.
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Math Problem Analysis
Mathematical Concepts
Depreciation
Straight-Line Depreciation
Book Value Calculation
Formulas
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Remaining Depreciable Cost = Book Value at Point of Revision - Revised Salvage Value
Revised Annual Depreciation = Remaining Depreciable Cost / Remaining Useful Life
Theorems
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Suitable Grade Level
College Level
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