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A proposed cost-saving device has an installed cost of $800,000. The device will

ID: 2383969 • Letter: A

Question

A proposed cost-saving device has an installed cost of $800,000. The device will be used in a five-year project but is classified as three-year MACRS property for tax purposes. The required initial net working capital investment is $62,000, the marginal tax rate is 30 percent, and the project discount rate is 8 percent. The device has an estimated Year 5 salvage value of $87,000. What level of pretax cost savings do we require for this project to be profitable? MACRS schedule. (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))

pretax cost savings

A proposed cost-saving device has an installed cost of $800,000. The device will be used in a five-year project but is classified as three-year MACRS property for tax purposes. The required initial net working capital investment is $62,000, the marginal tax rate is 30 percent, and the project discount rate is 8 percent. The device has an estimated Year 5 salvage value of $87,000. What level of pretax cost savings do we require for this project to be profitable? MACRS schedule. (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))

Explanation / Answer

Year

Depreciation %

Depreciation $

Depreciation Tax

1

33.33%

266,640

79,992

2

44.45%

355,600

106,680

3

14.81%

118,480

35,544

4

7.41%

59,280

17,784

Net Salvage Value =Salvage Value – (Salvage Value – Book Value)*Tax

=87,000 – (87,000-0)*30%

= 60,900

NPV= -800,000 - 62,000 + 79,992/1.08 + 106,680/(1.08)2 + 35,544/(1.08)3 + 17,784/(1.08)4 + (60,900+62,000)/(1.08)5 + 0.7PVIFA(8%,5)* Level of Pretax Cost Savings

0 =-862,000 + 290,459 + 0.7(3.9927)*Level of Pretax Cost Savings

PreTax Cost Savings Required=$204,494.99

Year

Depreciation %

Depreciation $

Depreciation Tax

1

33.33%

266,640

79,992

2

44.45%

355,600

106,680

3

14.81%

118,480

35,544

4

7.41%

59,280

17,784