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Hot Dog stand is looking at a new sausage cooker with an installed cost of $54,000.  This...

Hot Dog stand is looking at a new sausage cooker with an installed cost of $54,000.  This cost will be depreciated straight line  to $0 over its useful life of 3 years, at which time it is hoped it can be sold for scrap for $3,000.  The cooker should save the company $25,000 per year in pretax operating costs.  It requires an initial increase in net working capital of $3,000.  If the tax rate is 35% and the weighted average cost of capital is 8%, should the Hot Dog stand buy the cooker?

WHAT is NPV?

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Expert Solution

Time line 0 2 2 3
Cost of new machine -54000
Initial working capital -3000
=Initial Investment outlay -57000
savings 25000 25000 25000
-Depreciation Cost of equipment/no. of years -18000 -18000 -18000
=Pretax cash flows 7000 7000 7000
-taxes =(Pretax cash flows)*(1-tax) 4550 4550 4550
+Depreciation 18000 18000 18000
=after tax operating cash flow 22550 22550 22550
reversal of working capital 3000
+Proceeds from sale of equipment after tax =selling price* ( 1 -tax rate) 1950
+Tax shield on salvage book value =Salvage value * tax rate 0
=Terminal year after tax cash flows 4950
Total Cash flow for the period -57000 22550 22550 27500
Discount factor= (1+discount rate)^corresponding period 1 1.1664 1.1664 1.259712
Discounted CF= Cashflow/discount factor -57000 19332.99 19332.9904 21830.387
NPV= Sum of discounted CF= 3496.36742

Buy as nPV is positive


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