Using the MACRS rates from the following table, what is the book value of a $3,000 computer after 4 years?
Using the MACRS rates from the following table, what is the book value of a $3,000 computer after 4 years?
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Question
What is the book value of $3000 computer after 4 years
![### Book Value Calculation Using MACRS Rates
#### Question:
Using the MACRS rates from the following table, what is the book value of a $3,000 computer after 4 years?
#### MACRS Depreciation Rates Table:
| Year | MACRS Rate |
|:----:|:----------:|
| 1 | 20.0% |
| 2 | 32.0% |
| 3 | 19.2% |
| 4 | 11.52% |
| 5 | 11.52% |
#### Solution:
1. Calculate the percentage of the original value that is depreciated each year and find the remaining value.
2. For Year 1:
- Depreciated Value: $3,000 * 20.0% = $600
- Remaining Value: $3,000 - $600 = $2,400
3. For Year 2:
- Depreciated Value: $2,400 * 32.0% = $768
- Remaining Value: $2,400 - $768 = $1,632
4. For Year 3:
- Depreciated Value: $1,632 * 19.2% = $313.34
- Remaining Value: $1,632 - $313.34 = $1,318.66
5. For Year 4:
- Depreciated Value: $1,318.66 * 11.52% = $151.84
- Remaining Value: $1,318.66 - $151.84 = $1,166.82
#### Book Value:
**The book value of the $3,000 computer after 4 years is approximately $1,166.82** (rounded to the nearest hundredth).
Please enter this calculated book value:
```
Book value = [$1,166.82]
```
#### Note:
- Round your final answer to the nearest hundredth as instructed.
- Ensure correct application of each year's depreciation rate sequentially to find the cumulative remaining value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F855e15a4-63d0-497f-87b3-26ee446e8a39%2F256ba171-2c28-4f1b-ac2b-d72e5814d5d1%2Fbvyt85j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Book Value Calculation Using MACRS Rates
#### Question:
Using the MACRS rates from the following table, what is the book value of a $3,000 computer after 4 years?
#### MACRS Depreciation Rates Table:
| Year | MACRS Rate |
|:----:|:----------:|
| 1 | 20.0% |
| 2 | 32.0% |
| 3 | 19.2% |
| 4 | 11.52% |
| 5 | 11.52% |
#### Solution:
1. Calculate the percentage of the original value that is depreciated each year and find the remaining value.
2. For Year 1:
- Depreciated Value: $3,000 * 20.0% = $600
- Remaining Value: $3,000 - $600 = $2,400
3. For Year 2:
- Depreciated Value: $2,400 * 32.0% = $768
- Remaining Value: $2,400 - $768 = $1,632
4. For Year 3:
- Depreciated Value: $1,632 * 19.2% = $313.34
- Remaining Value: $1,632 - $313.34 = $1,318.66
5. For Year 4:
- Depreciated Value: $1,318.66 * 11.52% = $151.84
- Remaining Value: $1,318.66 - $151.84 = $1,166.82
#### Book Value:
**The book value of the $3,000 computer after 4 years is approximately $1,166.82** (rounded to the nearest hundredth).
Please enter this calculated book value:
```
Book value = [$1,166.82]
```
#### Note:
- Round your final answer to the nearest hundredth as instructed.
- Ensure correct application of each year's depreciation rate sequentially to find the cumulative remaining value.
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