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Dog Up! Franks is looking at a new sausage system with an installed cost of $510

ID: 2652069 • Letter: D

Question

Dog Up! Franks is looking at a new sausage system with an installed cost of $510,000. 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 $76,000. The sausage system will save the firm $190,000 per year in pretax operating costs, and the system requires an initial investment in net working capital of $35,000. If the tax rate is 34 percent and the discount rate is 10 percent, what is the NPV of this project?

Dog Up! Franks is looking at a new sausage system with an installed cost of $510,000. 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 $76,000. The sausage system will save the firm $190,000 per year in pretax operating costs, and the system requires an initial investment in net working capital of $35,000. If the tax rate is 34 percent and the discount rate is 10 percent, what is the NPV of this project?

Explanation / Answer

Answer:

Calculation of Net present value (NPV) of the project

Year

PVF (10%)

Cash Flow (CF)

PV = CF *PVF

Initial Installed Cost

0

1

$   (510,000.00)

$         (510,000.00)

Initial Investment in working capital

0

1

$     (35,000.00)

$           (35,000.00)

Tax Saving on depreciation =(510000/5)*34%

1 to 5

     3.79079

$       34,680.00

$           131,464.49

Salvage Value of System net of tax =76000*(1-0.34)

5

0.620921

$       50,160.00

$             31,145.41

Saving in Operating cost Net of tax = 190000*(1-0.34)

1 to 5

     3.79079

$     125,400.00

$           475,364.66

NPV = Sum of PVs

$             92,974.56

Calculation of Net present value (NPV) of the project

Year

PVF (10%)

Cash Flow (CF)

PV = CF *PVF

Initial Installed Cost

0

1

$   (510,000.00)

$         (510,000.00)

Initial Investment in working capital

0

1

$     (35,000.00)

$           (35,000.00)

Tax Saving on depreciation =(510000/5)*34%

1 to 5

     3.79079

$       34,680.00

$           131,464.49

Salvage Value of System net of tax =76000*(1-0.34)

5

0.620921

$       50,160.00

$             31,145.41

Saving in Operating cost Net of tax = 190000*(1-0.34)

1 to 5

     3.79079

$     125,400.00

$           475,364.66

NPV = Sum of PVs

$             92,974.56

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