Math Problem Statement
Morgan Ltd purchased a vehicle on 1 July 2023, at a cost of $68,000, plus delivery costs of $1,200. The estimated useful life of the vehicle is 8 years, with an estimated residual value at the end of that period of $12,000. The entity is considering different depreciation methods that could be used for financial reporting purposes for the year ended 30 June 2024. The diminishing balance method uses a depreciation rate of 19.75%. **** **** Required: **** a. Calculate the depreciation expense and carrying value of the asset at 30 June 2024, using the straight-line method (answer in the space provided).
Solution
To calculate the depreciation expense and carrying value of the vehicle at 30 June 2024 using the straight-line method, we need to follow these steps:
Step 1: Calculate the total cost of the vehicle
The total cost of the vehicle includes both the purchase price and the delivery costs.
- Cost of vehicle = $68,000
- Delivery costs = $1,200
- Total cost = $68,000 + $1,200 = $69,200
Step 2: Calculate the annual depreciation
Under the straight-line method, the depreciation expense is calculated based on the following formula:
- Cost of Asset = $69,200
- Residual Value = $12,000
- Useful Life = 8 years
Step 3: Calculate the depreciation expense for the period (1 July 2023 to 30 June 2024)
Since the vehicle was purchased on 1 July 2023, and we are calculating depreciation for the period ending on 30 June 2024, which is exactly one year, the depreciation expense for this period is simply $7,150.
Step 4: Calculate the carrying value at 30 June 2024
The carrying value at the end of the period is calculated as the total cost minus the accumulated depreciation.
Final Answer:
- Depreciation Expense for the year = $7,150
- Carrying Value at 30 June 2024 = $62,050
Would you like any further details or clarifications on the calculations?
Here are 5 related questions for further exploration:
- How would the depreciation expense change if the residual value were different?
- What are the advantages and disadvantages of the straight-line method of depreciation?
- How would the depreciation be calculated under the diminishing balance method for the same vehicle?
- How does the choice of depreciation method affect financial statements and tax reporting?
- What would happen if the estimated useful life of the vehicle changes after the purchase?
Tip: Always make sure to apply the correct depreciation method based on the asset type and reporting requirements, as different methods affect the financial results in various ways.
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Math Problem Analysis
Mathematical Concepts
Depreciation
Straight-Line Method
Accounting Calculations
Formulas
Depreciation Expense = (Cost of Asset - Residual Value) / Useful Life
Carrying Value = Cost of Asset - Accumulated Depreciation
Theorems
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Suitable Grade Level
Grades 11-12
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