You are considering adding a new item to your company’s line of products. The machine required...

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You are considering adding a new item to your company’s line ofproducts. The machine required to manufacture the item costs$600,000. The shipping costs are $2,000 and the installation costsare $28,000. It falls into the three-year MACRS classification. TheMACRS three-year depreciation rates are 33%, 45%, 15%, and 7%. Thenew item would immediately require an investment in NWC of $55,000.You plan to market the items for three years and then sell themachine for $90,000. You expect to sell 25,000 items per year at aprice of $22. You expect variable manufacturing costs to be $20 peritem and NO fixed costs will be incurred. If the tax rate is 40%and your weighted average cost of capital is 14% per year, what isthe net present value of selling the new item? What should youdo?

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4.2 Ratings (637 Votes)

Time line 0 1 2 3
Cost of new machine -630000
Initial working capital -55000
=Initial Investment outlay -685000
3 years MACR rate 33.00% 45.00% 15.00% 7.00%
Unit sales 25000 25000 25000
Profits =no. of units sold * (sales price - variable cost) 50000 50000 50000
-Depreciation =Cost of machine*MACR% -207900 -283500 -94500 44100 =Salvage Value
=Pretax cash flows -157900 -233500 -44500
-taxes =(Pretax cash flows)*(1-tax) -94740 -140100 -26700
+Depreciation 207900 283500 94500
=after tax operating cash flow 113160 143400 67800
reversal of working capital 55000
+Proceeds from sale of equipment after tax =selling price* ( 1 -tax rate) -54000
+Tax shield on salvage book value =Salvage value * tax rate 17640
=Terminal year after tax cash flows 18640
Total Cash flow for the period -685000 113160 143400 86440
Discount factor= (1+discount rate)^corresponding period 1 1.14 1.2996 1.481544
Discounted CF= Cashflow/discount factor -685000 99263.16 110341.6 58344.538
NPV= Sum of discounted CF= -417050.6607

Donot make the investment as NPV is negative


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You are considering adding a new item to your company’s line ofproducts. The machine required to manufacture the item costs$600,000. The shipping costs are $2,000 and the installation costsare $28,000. It falls into the three-year MACRS classification. TheMACRS three-year depreciation rates are 33%, 45%, 15%, and 7%. Thenew item would immediately require an investment in NWC of $55,000.You plan to market the items for three years and then sell themachine for $90,000. You expect to sell 25,000 items per year at aprice of $22. You expect variable manufacturing costs to be $20 peritem and NO fixed costs will be incurred. If the tax rate is 40%and your weighted average cost of capital is 14% per year, what isthe net present value of selling the new item? What should youdo?

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