Answer :
To determine the revised annual depreciation for each asset in 2022, we'll follow a structured approach. We'll need to calculate the remaining useful life of each asset, the book value at the beginning of 2022, and then use the straight-line depreciation method to find the revised annual depreciation. Let's go through the process step-by-step.
### Step 1: Extract and Understand the Given Information
For each asset (Building and Warehouse), we have the following details:
Building:
- Date Acquired: January 1, 2014
- Cost: [tex]$700,000 - Accumulated Depreciation as of January 1, 2022: $[/tex]130,000
- Original Useful Life: 40 years
Warehouse:
- Date Acquired: January 1, 2017
- Cost: [tex]$120,000 - Accumulated Depreciation as of January 1, 2022: $[/tex]23,000
- Original Useful Life: 25 years
### Step 2: Calculate the Remaining Useful Life
Calculate the years elapsed for each asset up to January 1, 2022, and then find the remaining useful life.
Building:
- Years Elapsed (2022 - 2014) = 8 years
- Original Useful Life = 40 years
- Remaining Useful Life = 40 - 8 = 32 years
Warehouse:
- Years Elapsed (2022 - 2017) = 5 years
- Original Useful Life = 25 years
- Remaining Useful Life = 25 - 5 = 20 years
### Step 3: Compute the Book Value as of January 1, 2022
Subtract the accumulated depreciation from the cost of each asset to get the book value.
Building:
- Cost = [tex]$700,000 - Accumulated Depreciation = $[/tex]130,000
- Book Value = [tex]$700,000 - $[/tex]130,000 = [tex]$570,000 Warehouse: - Cost = $[/tex]120,000
- Accumulated Depreciation = [tex]$23,000 - Book Value = $[/tex]120,000 - [tex]$23,000 = $[/tex]97,000
### Step 4: Calculate the Revised Annual Depreciation
Using the straight-line method, divide the book value by the remaining useful life to get the annual depreciation amount.
Building:
- Book Value = [tex]$570,000 - Remaining Useful Life = 32 years - Revised Annual Depreciation = $[/tex]570,000 / 32 ≈ [tex]$17,812.5 Warehouse: - Book Value = $[/tex]97,000
- Remaining Useful Life = 20 years
- Revised Annual Depreciation = [tex]$97,000 / 20 = $[/tex]4,850.0
### Final Answer:
The revised annual depreciation on each asset in 2022 is as follows:
- Building: \[tex]$17,812.5 - Warehouse: \$[/tex]4,850.0
### Step 1: Extract and Understand the Given Information
For each asset (Building and Warehouse), we have the following details:
Building:
- Date Acquired: January 1, 2014
- Cost: [tex]$700,000 - Accumulated Depreciation as of January 1, 2022: $[/tex]130,000
- Original Useful Life: 40 years
Warehouse:
- Date Acquired: January 1, 2017
- Cost: [tex]$120,000 - Accumulated Depreciation as of January 1, 2022: $[/tex]23,000
- Original Useful Life: 25 years
### Step 2: Calculate the Remaining Useful Life
Calculate the years elapsed for each asset up to January 1, 2022, and then find the remaining useful life.
Building:
- Years Elapsed (2022 - 2014) = 8 years
- Original Useful Life = 40 years
- Remaining Useful Life = 40 - 8 = 32 years
Warehouse:
- Years Elapsed (2022 - 2017) = 5 years
- Original Useful Life = 25 years
- Remaining Useful Life = 25 - 5 = 20 years
### Step 3: Compute the Book Value as of January 1, 2022
Subtract the accumulated depreciation from the cost of each asset to get the book value.
Building:
- Cost = [tex]$700,000 - Accumulated Depreciation = $[/tex]130,000
- Book Value = [tex]$700,000 - $[/tex]130,000 = [tex]$570,000 Warehouse: - Cost = $[/tex]120,000
- Accumulated Depreciation = [tex]$23,000 - Book Value = $[/tex]120,000 - [tex]$23,000 = $[/tex]97,000
### Step 4: Calculate the Revised Annual Depreciation
Using the straight-line method, divide the book value by the remaining useful life to get the annual depreciation amount.
Building:
- Book Value = [tex]$570,000 - Remaining Useful Life = 32 years - Revised Annual Depreciation = $[/tex]570,000 / 32 ≈ [tex]$17,812.5 Warehouse: - Book Value = $[/tex]97,000
- Remaining Useful Life = 20 years
- Revised Annual Depreciation = [tex]$97,000 / 20 = $[/tex]4,850.0
### Final Answer:
The revised annual depreciation on each asset in 2022 is as follows:
- Building: \[tex]$17,812.5 - Warehouse: \$[/tex]4,850.0