The Dauten Toy Corporation uses an injection molding machine that was purchased prior to the new tax legislation. This machine is being depreciated on a straight-line basis, and it has 6 years of remaining life. Its current book value is $2,100, and it can be sold for $2,600 at this time. Thus, the annual depreciation expense is $2,100/6 = $350 per year. If the old machine is not replaced, it can be sold for $500 at the end of its useful life.
Dauten is offered a replacement machine which has a cost of $8,000, an estimated useful life of 6 years, and an estimated salvage value of $800. The replacement machine is eligible for 100% bonus depreciation at the time of purchase. The replacement machine would permit an output expansion, so sales would rise by $1,000 per year; even so, the new machine's much greater efficiency would cause operating expenses to decline by $1,500 per year. The new machine would require that inventories be increased by $2,500, but accounts payable would simultaneously increase by $800. Dauten's marginal federal-plus-state tax rate is 25%, and its WACC is 11%.
What is the NPV of the incremental cash flow stream? Negative
value, if any, should be indicated by a minus sign. Round your
answer to the nearest cent.
$
Should the company replace the old machine?
Time line | 0 | 1 | 2 | 3 | 4 | 5 | 6 | |||
Proceeds from sale of existing asset | =selling price* ( 1 -tax rate) | 1950 | ||||||||
Tax shield on existing asset book value | =Book value * tax rate | 525 | ||||||||
Cost of new machine | -8000 | |||||||||
Initial working capital | 1700 | |||||||||
=Initial Investment outlay | -3825 | |||||||||
100.00% | ||||||||||
Savings | 2500 | 2500 | 2500 | 2500 | 2500 | 2500 | ||||
-Depreciation | -8000 | 0 | 0 | 0 | 0 | 0 | 0 | =Salvage Value | ||
=Pretax cash flows | -5500 | 2500 | 2500 | 2500 | 2500 | 2500 | ||||
-taxes | =(Pretax cash flows)*(1-tax) | -4125 | 1875 | 1875 | 1875 | 1875 | 1875 | |||
+Depreciation | 8000 | 0 | 0 | 0 | 0 | 0 | ||||
=after tax operating cash flow | 3875 | 1875 | 1875 | 1875 | 1875 | 1875 | ||||
reversal of working capital | -1700 | |||||||||
+Proceeds from sale of equipment after tax | =selling price* ( 1 -tax rate) | 600 | ||||||||
+Tax shield on salvage book value | =Salvage value * tax rate | 0 | ||||||||
=Terminal year after tax cash flows | -1100 | |||||||||
Total Cash flow for the period | -3825 | 3875 | 1875 | 1875 | 1875 | 1875 | 775 | |||
Discount factor= | (1+discount rate)^corresponding period | 1 | 1.11 | 1.2321 | 1.367631 | 1.5180704 | 1.6850582 | 1.8704146 | ||
Discounted CF= | Cashflow/discount factor | -3825 | 3490.990991 | 1521.792062 | 1370.98384 | 1235.1206 | 1112.7212 | 414.34665 | ||
NPV= | Sum of discounted CF= | 5320.96 |
Replace old machine as incremental NPV is positive
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