S QS 8-6 (Algo) Double-declining-balance method LO P1 A building is acquired on January 1 at a cost of $910,000 with an estimated useful life of eight years and salvage value of $81,900. Compute depreciation expense for the first three years using the double-declining-balance method. (Round your answers to the nearest dollar.) Annual Period First Year Second Year Third Year Depreciation for the Period Beginning of Period Book Value Depreciation Depreciation Rate (%) Expense End of Period Accumulated Depreciation Book Value

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**Double-Declining-Balance Method - Depreciation Calculation**

**Scenario:**

A building is acquired on January 1 at a cost of $910,000 with an estimated useful life of eight years and a salvage value of $81,900.

**Task:**

Compute depreciation expense for the first three years using the double-declining-balance method. (Round your answers to the nearest dollar.)

**Instructions:**

The double-declining-balance method is an accelerated depreciation method. It calculates depreciation at twice the straight-line rate applied to the declining book value of the asset each year.

**Table Explanation:**

The table below is arranged for calculating depreciation over three years.

- **Annual Period:** Lists the years for evaluation.
  
- **Beginning of Period Book Value:** The asset value at the start of each year.

- **Depreciation Rate (%):** The percentage used for depreciation, which is twice the straight-line rate. For an 8-year lifespan, the straight-line rate is 12.5%, making the double-declining rate 25%.

- **Depreciation Expense:** The depreciation amount for each year.

- **Accumulated Depreciation:** The total depreciation amount accumulated up to the end of each year.

- **End of Period Book Value:** The book value at the end of each year after accounting for depreciation.

**Steps:**

1. **First Year:**
   - Calculate the depreciation expense using the initial book value and the depreciation rate.
   - Subtract the depreciation expense from the beginning book value to find the end-of-year book value.

2. **Second Year:**
   - Use the end-of-year book value from the first year as the beginning value.
   - Repeat the depreciation calculation and updating the accumulated depreciation.

3. **Third Year:**
   - Follow the same process as above.

This systematic approach provides a clear understanding of how the book value decreases over time with the double-declining-balance method, reflecting the asset's diminishing economic value more rapidly in the earlier years.
Transcribed Image Text:**Double-Declining-Balance Method - Depreciation Calculation** **Scenario:** A building is acquired on January 1 at a cost of $910,000 with an estimated useful life of eight years and a salvage value of $81,900. **Task:** Compute depreciation expense for the first three years using the double-declining-balance method. (Round your answers to the nearest dollar.) **Instructions:** The double-declining-balance method is an accelerated depreciation method. It calculates depreciation at twice the straight-line rate applied to the declining book value of the asset each year. **Table Explanation:** The table below is arranged for calculating depreciation over three years. - **Annual Period:** Lists the years for evaluation. - **Beginning of Period Book Value:** The asset value at the start of each year. - **Depreciation Rate (%):** The percentage used for depreciation, which is twice the straight-line rate. For an 8-year lifespan, the straight-line rate is 12.5%, making the double-declining rate 25%. - **Depreciation Expense:** The depreciation amount for each year. - **Accumulated Depreciation:** The total depreciation amount accumulated up to the end of each year. - **End of Period Book Value:** The book value at the end of each year after accounting for depreciation. **Steps:** 1. **First Year:** - Calculate the depreciation expense using the initial book value and the depreciation rate. - Subtract the depreciation expense from the beginning book value to find the end-of-year book value. 2. **Second Year:** - Use the end-of-year book value from the first year as the beginning value. - Repeat the depreciation calculation and updating the accumulated depreciation. 3. **Third Year:** - Follow the same process as above. This systematic approach provides a clear understanding of how the book value decreases over time with the double-declining-balance method, reflecting the asset's diminishing economic value more rapidly in the earlier years.
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