A company purchases an asset that costs $10,000. This asset qualifies as 3-year property under MACRS. The company uses an after-tax discount rate of 12% and faces a 40% income tax rate. (Use Table 1, Table 2 and Exhibit 12.4.) Year MACRS % Depreciation Deduction Tax Savings PV Factor Present Values 1 33.33% 3,333.00 1,333.20 0.893 1,190.55 2 44.45% 4,445.00 1,778.00 0.797 1,417.07 3 14.81% 1,481.00 592.40 0.712 421.79 4 7.41% 741.00 296.40 0.636 188.51   100% 10,000.00 4,000.00   3,217.91 2. Given an after-tax discount rate of 12%, what tax rate would be needed in order for the PV of the depreciation deductions to equal $4,000?

Principles of Accounting Volume 1
19th Edition
ISBN:9781947172685
Author:OpenStax
Publisher:OpenStax
Chapter11: Long-term Assets
Section: Chapter Questions
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A company purchases an asset that costs $10,000. This asset qualifies as 3-year property under MACRS. The company uses an after-tax discount rate of 12% and faces a 40% income tax rate. (Use Table 1, Table 2 and Exhibit 12.4.)

Year

MACRS %

Depreciation

Deduction

Tax

Savings

PV Factor

Present Values

1

33.33%

3,333.00

1,333.20

0.893

1,190.55

2

44.45%

4,445.00

1,778.00

0.797

1,417.07

3

14.81%

1,481.00

592.40

0.712

421.79

4

7.41%

741.00

296.40

0.636

188.51

 

100%

10,000.00

4,000.00

 

3,217.91


2. Given an after-tax discount rate of 12%, what tax rate would be needed in order for the PV of the depreciation deductions to equal $4,000? 

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