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Please Answer. installed 3. A Cost-Cutting proposals Dog Up! Franks is looking a

ID: 2820464 • Letter: P

Question

Please Answer.

installed 3. A Cost-Cutting proposals Dog Up! Franks is looking at a new sausage system with an cost of $276,000. This cost will be depreciated straight-line to zero over the project's three-year life, at the end of which the sausage system can be scrapped for $50,000. The sausage system will save the firm $200,000 per year in pretax operating costs, and the system requires an initial investment in net working capital of $30,000. If the tax rate is 35 percent and the discount rate is 15 percent, should buy or not?

Explanation / Answer


Year

Cash flows = CF

Depreciation = D = 276000/3

Working capital adjustment = WC

Net cash flow = NCF

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

Present Values

0

-$276,000.00

$0.00

-$30,000.00

-$306,000.00

               1.00000

-$306,000.00

Y

CF

D

WC

NCF = (CF-D)x(1-Tax rate)+D+WC

Df = 1/(1+15%)^Y

=Df x NCF

1

$200,000.00

$92,000.00

$162,200.00

               0.86957

$141,043.48

2

$200,000.00

$92,000.00

$162,200.00

               0.75614

$122,646.50

3

$250,000.00

$92,000.00

$30,000.00

$224,700.00

               0.65752

$147,743.90

Total = NPV =

$105,433.88

Buy sausage system because NPV is a positive value i.e. NPV = $105,433.88

Note: Year-3 CF is sum of savings plus salvage value = 200,000 + 50000 = $250,000.00

Year

Cash flows = CF

Depreciation = D = 276000/3

Working capital adjustment = WC

Net cash flow = NCF

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

Present Values

0

-$276,000.00

$0.00

-$30,000.00

-$306,000.00

               1.00000

-$306,000.00

Y

CF

D

WC

NCF = (CF-D)x(1-Tax rate)+D+WC

Df = 1/(1+15%)^Y

=Df x NCF

1

$200,000.00

$92,000.00

$162,200.00

               0.86957

$141,043.48

2

$200,000.00

$92,000.00

$162,200.00

               0.75614

$122,646.50

3

$250,000.00

$92,000.00

$30,000.00

$224,700.00

               0.65752

$147,743.90

Total = NPV =

$105,433.88