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A company is considering a new project requiring an upfront fixed-asset investment of $1,000,000 with an...

A company is considering a new project requiring an upfront fixed-asset investment of $1,000,000 with an economic life of five years. Depreciation is taken on a straight-line basis, with no expected salvage value. Net working capital required immediately is expected to be $100,000 and will be recovered in full upon the project's completion in five years. In the optimistic-scenario forecast, the annual sales volume is 53,400 units, while the sale price is $138 per unit with a variable cost of $76 per unit. Annual fixed costs are estimated to $1,164,000. If the appropriate discount rate is 12.50% and the tax rate 30%, what is the project's NPV?

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Expert Solution

Answer:
Calculation of NPV
Formula will will use here
NPV = Present value of Cash inflows - Initial cost
Project A
Initial cost = 1100000.00
Year 1 2 3 4 5
Sales 7369200 7369200 7369200 7369200 7369200
Less: Cost 4058400 4058400 4058400 4058400 4058400
Gross profit 3310800 3310800 3310800 3310800 3310800
Less: Depreciation 200000 200000 200000 200000 200000
Less: Fixed cost 1164000 1164000 1164000 1164000 1164000
Profit before tax 1946800 1946800 1946800 1946800 1946800
Less: Tax 681380 681380 681380 681380 681380
Proft after tax 1265420 1265420 1265420 1265420 1265420
Add: Depreciation 200000 200000 200000 200000 200000
Add: Working capital 0 0 0 0 100000
Ne operating cash flow 1465420 1465420 1465420 1465420 1565420
PVF 0.888889 0.790123 0.702332 0.624295 0.554929
Present value 1302595.56 1157862.72 1029211.30 914854.49 868696.89 5273220.95
Total 14738400
NPV of Project
Present vallue of cash inflows 5273220.95
Less: Initial cost 1100000.00
NPV of the Project 4173220.95 (Answer)

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