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In: Finance

Marshall Inc., is looking at a new bottle system that costs $473,522. It will cost an...

Marshall Inc., is looking at a new bottle system that costs $473,522. It will cost an additional $63,445 to modify the system for special use by the firm. The new equipment is classified as five-year property under MACRS (20%, 32%, 19.20%, 11.52%, 11.52%, and 5.76%). Suppose the bottle system will be scrapped for $70,609 at the end of year 4. The new system will increase pre-tax revenues by $249,600 per year, but pre-tax costs will also increase by $40,080 per year. The system requires an initial investment in net working capital of $39,616. If the tax rate is 32 percent and the discount rate is 6.37 percent, what is the NPV of this project?

[Round the final answer to the nearest cent]

Solutions

Expert Solution

Time line 0 1 2 3 4
Cost of new machine -536967
Initial working capital -39616
=Initial Investment outlay -576583
5 years MACR rate 20.00% 32.00% 19.20% 11.52% 17.28%
Sales 249600 249600 249600 249600
Profits Sales-variable cost 209520 209520 209520 209520
-Depreciation =Cost of machine*MACR% -107393.4 -171829.44 -103097.664 -61858.6 92787.898 =Salvage Value
=Pretax cash flows 102126.6 37690.56 106422.336 147661.4
-taxes =(Pretax cash flows)*(1-tax) 69446.088 25629.5808 72367.18848 100409.75
+Depreciation 107393.4 171829.44 103097.664 61858.598
=after tax operating cash flow 176839.49 197459.02 175464.85 162268.35
reversal of working capital 39616
+Proceeds from sale of equipment after tax =selling price* ( 1 -tax rate) 48014.12
+Tax shield on salvage book value =Salvage value * tax rate 29692.127
=Terminal year after tax cash flows 117322.25
Total Cash flow for the period -576583 176839.49 197459.02 175464.85 279590.6
Discount factor= (1+discount rate)^corresponding period 1 1.0637 1.13145769 1.203531545 1.2801965
Discounted CF= Cashflow/discount factor -576583 166249.403 174517.3697 145791.6502 218396.63
NPV= Sum of discounted CF= 128372.05

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