A nine year project involves equipment costing $2,320,000 that will be depreciated using the five-year MACRS schedule. If the estimated pre-tax salvage value for the equipment at the end of the project's life is $417,600, what is the after-tax salvage value for the equipment? Assume a marginal tax rate of 21 percent. O $329,904 O $399.184 O-$6,496 O $505,296
A nine year project involves equipment costing $2,320,000 that will be depreciated using the five-year MACRS schedule. If the estimated pre-tax salvage value for the equipment at the end of the project's life is $417,600, what is the after-tax salvage value for the equipment? Assume a marginal tax rate of 21 percent. O $329,904 O $399.184 O-$6,496 O $505,296
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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![### Depreciation and After-Tax Salvage Value Calculation
#### Problem Statement:
A nine-year project involves equipment costing $2,320,000 that will be depreciated using the five-year MACRS schedule. If the estimated pre-tax salvage value for the equipment at the end of the project's life is $417,600, what is the after-tax salvage value for the equipment? Assume a marginal tax rate of 21 percent.
#### Answer Choices:
- $329,904
- $399,184
- -$64,896
- $505,296
#### Detailed Explanation:
This problem requires calculating the after-tax salvage value of equipment by considering the depreciation and the marginal tax rate. The steps involve:
1. **Depreciation Calculation:**
Use the appropriate depreciation schedule for the equipment. For a five-year MACRS (Modified Accelerated Cost Recovery System) schedule, the depreciation percentages for each year are as follows:
| Year | Percentage |
|------|-------------|
| 1 | 20% |
| 2 | 32% |
| 3 | 19.2% |
| 4 | 11.52% |
| 5 | 11.52% |
| 6 | 5.76% |
2. **Calculate Accumulated Depreciation:**
Sum of depreciation percentages over the five years:
\[
20\% + 32\% + 19.2\% + 11.52\% + 11.52\% + 5.76\% = 100\%
\]
3. **Book Value at the End of Project Life:**
After full depreciation, the book value is zero since accumulated depreciation equals 100% of the asset cost.
4. **Calculate Gain or Loss on Sale:**
The salvage value ($417,600) minus the book value (0) equals the gain on sale which is $417,600.
5. **Tax Impact:**
Calculate taxes on the gain.
\[
\text{Tax} = \text{Gain} \times \text{Tax Rate} = 417,600 \times 0.21 = 87,696
\]
6. **After-Tax Salvage Value:**
Subtract the tax from the pre-tax salvage](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5386f0c-0c7d-4f0c-9c77-b0195c82b8c2%2Ff5d34025-5417-4ec4-bdc0-6c6bb10e601c%2Flmsen5g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Depreciation and After-Tax Salvage Value Calculation
#### Problem Statement:
A nine-year project involves equipment costing $2,320,000 that will be depreciated using the five-year MACRS schedule. If the estimated pre-tax salvage value for the equipment at the end of the project's life is $417,600, what is the after-tax salvage value for the equipment? Assume a marginal tax rate of 21 percent.
#### Answer Choices:
- $329,904
- $399,184
- -$64,896
- $505,296
#### Detailed Explanation:
This problem requires calculating the after-tax salvage value of equipment by considering the depreciation and the marginal tax rate. The steps involve:
1. **Depreciation Calculation:**
Use the appropriate depreciation schedule for the equipment. For a five-year MACRS (Modified Accelerated Cost Recovery System) schedule, the depreciation percentages for each year are as follows:
| Year | Percentage |
|------|-------------|
| 1 | 20% |
| 2 | 32% |
| 3 | 19.2% |
| 4 | 11.52% |
| 5 | 11.52% |
| 6 | 5.76% |
2. **Calculate Accumulated Depreciation:**
Sum of depreciation percentages over the five years:
\[
20\% + 32\% + 19.2\% + 11.52\% + 11.52\% + 5.76\% = 100\%
\]
3. **Book Value at the End of Project Life:**
After full depreciation, the book value is zero since accumulated depreciation equals 100% of the asset cost.
4. **Calculate Gain or Loss on Sale:**
The salvage value ($417,600) minus the book value (0) equals the gain on sale which is $417,600.
5. **Tax Impact:**
Calculate taxes on the gain.
\[
\text{Tax} = \text{Gain} \times \text{Tax Rate} = 417,600 \times 0.21 = 87,696
\]
6. **After-Tax Salvage Value:**
Subtract the tax from the pre-tax salvage
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