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Dog Up! Franks is looking at a new sausage system with an installed cost of $530

ID: 2777964 • Letter: D

Question

Dog Up! Franks is looking at a new sausage system with an installed cost of $530,000. This cost will be depreciated straight-line to zero over the project’s five-year life, at the end of which the sausage system can be scrapped for $80,000. The sausage system will save the firm $210,000 per year in pretax operating costs, and the system requires an initial investment in net working capital of $39,000. If the tax rate is 35 percent and the discount rate is 9 percent, what is the NPV of this project? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.)

Explanation / Answer

Annual depreciation = (cost of asset – salvage value)/ Life

                                                = (530,000-0)/ 5

                                                = 106,000

Calculation of cash flows

Year

0

1

2

3

4

5

Cost of asset

-530000

Cost saving

210000

210000

210000

210000

210000

Depreciation

-106000

-106000

-106000

-106000

-106000

EBIT

104000

104000

104000

104000

104000

Tax 35%

-36400

-36400

-36400

-36400

-36400

Net Income

67600

67600

67600

67600

67600

Depreciation

106000

106000

106000

106000

106000

Working capital

-39000

39000

Salvage value

80000

tax on salvage value

-28000

Cash flow

-569000

173600

173600

173600

173600

264600

Calculation of Net Present Value

Year

Cash flow

PV factor 9%

PV

0

-569000

1.000

-569000

1

173600

0.917

159266.055

2

173600

0.842

146115.647

3

173600

0.772

134051.052

4

173600

0.708

122982.617

5

264600

0.650

171971.845

NPV

$165,387.22

hence, NPV is 165,387.22.

Year

0

1

2

3

4

5

Cost of asset

-530000

Cost saving

210000

210000

210000

210000

210000

Depreciation

-106000

-106000

-106000

-106000

-106000

EBIT

104000

104000

104000

104000

104000

Tax 35%

-36400

-36400

-36400

-36400

-36400

Net Income

67600

67600

67600

67600

67600

Depreciation

106000

106000

106000

106000

106000

Working capital

-39000

39000

Salvage value

80000

tax on salvage value

-28000

Cash flow

-569000

173600

173600

173600

173600

264600

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