Problem 16

Question

Sime Company purchased and installed carpet in its new general offices on March 29 for a total cost of \( 48,000\). The carpet is estimated to have a 15 -year useful life and no residual value. a. Prepare the journal entries necessary for recording the purchase of the new carpet. b. Record the December 31 adjusting entry for the partial-year depreciation expense for the carpet, assuming that Sime Company uses the straight-line method.

Step-by-Step Solution

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Answer
Purchase: Debit Office Equipment/Building Improvements \( 48,000 \); Credit Cash \( 48,000 \). Depreciation: Debit Depreciation Expense \( 2,400 \); Credit Accumulated Depreciation \( 2,400 \).
1Step 1: Analyze the Transaction
The first part of the problem requires us to record the purchase and installation of a carpet. The total cost is \( 48,000 \). Since this is an office asset, it will be recorded as an asset on the balance sheet.
2Step 2: Record the Purchase of Carpet
To record the purchase, debit the account for Office Equipment or Building Improvements and credit Cash or Accounts Payable.**Journal Entry:**Date: March 29- Debit: Office Equipment/Building Improvements \( 48,000 \)- Credit: Cash/Accounts Payable \( 48,000 \)This entry records the acquisition of a long-term asset costing \( 48,000 \).
3Step 3: Determine Depreciation Details
For the straight-line method of depreciation, the formula to calculate annual depreciation is:\[\text{Annual Depreciation} = \frac{\text{Cost} - \text{Salvage Value}}{\text{Useful Life}}\]Substitute the given values: \(\text{Annual Depreciation} = \frac{48,000 - 0}{15} = 3,200 \).
4Step 4: Calculate Partial-Year Depreciation
Since the carpet was placed in service on March 29, we need to calculate depreciation from March 29 to December 31. From March 29 to December 31 is 9 months.Partial year depreciation is calculated as:\[\text{Partial Depreciation} = \text{Annual Depreciation} \times \frac{9}{12} = 3200 \times \frac{9}{12} = 2400\]
5Step 5: Record the Depreciation Entry
To record the adjusting entry for the depreciation expense on December 31, debit Depreciation Expense and credit Accumulated Depreciation.**Journal Entry:**Date: December 31- Debit: Depreciation Expense \( 2,400 \)- Credit: Accumulated Depreciation \( 2,400 \)

Key Concepts

Asset DepreciationStraight-Line MethodPartial-Year Depreciation
Asset Depreciation
Depreciation is a key accounting concept that helps businesses allocate the cost of an asset over its useful life. When a company buys long-term assets, like carpet for an office, it doesn't immediately expense the entire purchase price. Instead, it spreads the cost over the years the asset is expected to be useful. This ensures that the financial statements accurately reflect the asset's value at any given time.

By systematically reducing the asset's book value over time, depreciation also reduces taxable income, aligning expenses more closely with the revenue generated by the asset. This is crucial for matching principles in accounting.
  • Purpose: To allocate asset cost over time and accurately report financial status.
  • Impact: Reduces taxable income and reflects asset value more precisely.
  • Method: Can be calculated using various techniques including straight-line, declining balance, and units of production.
Understanding depreciation helps businesses manage their assets' financial impact and make informed decisions about repair, replacement, or disposal.
Straight-Line Method
The straight-line method is one of the simplest and most widely used techniques for calculating depreciation. With this method, the cost of an asset is spread evenly over its useful life. This results in equal periodic depreciation charges, making it straightforward to apply and understand.

To use the straight-line method, subtract any expected residual value from the asset's cost, then divide by the useful life to find the annual depreciation amount. This method works well for assets that wear out evenly over time, like buildings or furniture. It provides a clear, consistent charge to each accounting period.
  • Formula: \[\text{Annual Depreciation} = \frac{\text{Cost} - \text{Salvage Value}}{\text{Useful Life}} \]
  • Benefits: Simple to apply, predictable expense amounts.
  • Best for: Assets with even wear and tear over time.
The predictability and simplicity of the straight-line method make it particularly appealing for educational purposes and businesses that prioritize easy forecasting.
Partial-Year Depreciation
When an asset is acquired partway through the year, calculating depreciation requires adjusting for the time the asset has actually been in use. This is where partial-year depreciation comes in, ensuring expenses are accurately matched with the asset's utility during that period.

To determine partial-year depreciation, calculate the annual depreciation as usual, then multiply it by the fraction of the year the asset was in service. This calculation makes sure that the depreciation expense reflects only the months the asset contributed to operations.
  • Relevant Calculation: \[\text{Partial Depreciation} = \text{Annual Depreciation} \times \frac{\text{Number of Months in Use}}{12}\]
  • Ensures Accuracy: Matches expense with actual asset use.
  • Essential for: Assets acquired or disposed of mid-year.
Handling partial-year depreciation correctly is crucial for precise financial reporting and planning, especially in businesses with frequent acquisitions.