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A project has an initial requirement of $191013 for new equipment and $13286 for net working...

A project has an initial requirement of $191013 for new equipment and $13286 for net working capital. The installation costs to get the new equipment in working condition are 3728. The fixed assets will be depreciated to a zero book value over the 5-year life of the project and have an estimated salvage value of $72103. All of the net working capital will be recouped at the end of the project. The annual operating cash flow is $94903 and the cost of capital is 7% What is the project's NPV if the tax rate is 25%? Enter your answer rounded off to two decimal points. Do not enter $ or comma in the answer box. For example, if your answer is $12.345 then enter as 12.35 in the answer box.

Solutions

Expert Solution

Year

Cash outflows

Cash inflows

Depreciation = D = 194741/5 = 125,914.29

Net Working capital = NWC

Net Cash flows = Cash outflow + NWC

Discount factor = Df = 1/(1+Rate)^Year

Present Values

0

-194741.00

0.00

0.00

-13,286.00

-208,027.00

1.000000

-208,027.00

Co

Ci

D

NWC

Net Cash flow = (Co+Ci-D)x(1-25%)+D+NWC

Df = 1/(1+7%)^Year

Df x Net Cash flows

1

94,903.00

38,948.20

80,914.30

0.934579

75,620.8056

2

94,903.00

38,948.20

80,914.30

0.873439

70,673.7053

3

94,903.00

38,948.20

80,914.30

0.816298

66,050.1813

4

94,903.00

38,948.20

80,914.30

0.762895

61,729.1149

5

167,006.00

38,948.20

13,286.00

148,277.55

0.712986

105,719.8173

Total = NPV =

171,766.62

NPV = $171,766.62

Note:

Installation cost is included in Cash outflows for machine purchase and same is used for depreciation purposes.

Year 5: Cash inflows = Cash flow from operations + Sale proceeds of machine.


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