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A company purchased equipment at the beginning of 2024 for $650,000. In 2024 and 2025, the company depreciated the asset on a straight-line basis with an estimated service life of eight years and a $10,000 residual value. At the beginning of 2026, due to changes in technology, the company revised the service life to a total of six years (four more years) with zero residual value. What depreciation expense would the company report for the year 2026 on this equipment?
$108,333
$106,667
$122,500
$81,667


Sagot :

Answer:

Explanation:

To calculate the depreciation expense for the year 2026, we need to follow these steps:

1. **Calculate Initial Annual Depreciation (2024-2025):**

  - **Cost of Equipment:** $650,000

  - **Residual Value:** $10,000

  - **Service Life:** 8 years

  The formula for straight-line depreciation is:

  \[

  \text{Annual Depreciation} = \frac{\text{Cost} - \text{Residual Value}}{\text{Service Life}}

  \]

  \[

  \text{Annual Depreciation} = \frac{650,000 - 10,000}{8} = \frac{640,000}{8} = 80,000

  \]

  Therefore, the annual depreciation expense for 2024 and 2025 is $80,000.

2. **Calculate Accumulated Depreciation by the Beginning of 2026:**

  - **Accumulated Depreciation (2024-2025):** $80,000 per year × 2 years = $160,000

3. **Calculate Book Value at the Beginning of 2026:**

  \[

  \text{Book Value} = \text{Cost} - \text{Accumulated Depreciation} = 650,000 - 160,000 = 490,000

  \]

4. **Revised Depreciation for 2026 Onwards:**

  - **New Service Life Remaining (from 2026):** 4 years

  - **New Residual Value:** $0

  \[

  \text{Revised Annual Depreciation} = \frac{\text{Book Value}}{\text{Remaining Service Life}} = \frac{490,000}{4} = 122,500

  \]

Thus, the depreciation expense the company would report for the year 2026 is **$122,500**.

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