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You are evaluating a project for your company. You estimate the sales price to b

ID: 2710539 • Letter: Y

Question

You are evaluating a project for your company. You estimate the sales price to be $10 per unit and sales volume to be 3,000 units in year 1; 10,000 units in year 2; and 1,000 units in year 3. The project has a three-year life. Variable costs amount to $3 per unit and fixed costs are $25,000 per year. The project requires an initial investment of $50,000 in assets that will be depreciated straight-line to zero over the three-year project life. The actual market value of these assets at the end of year 3 is expected to be $10,000. NWC requirements at the beginning of each year will be approximately 25 percent of the projected sales during the coming year. The tax rate is 34 percent and the required return on the project is 15 percent. What change in NWC occurs at the end of year 1?

Explanation / Answer

Sales Price

Revised working attached

Sales Price

Details Year 0 Year 1 Year 2 Year 3 Sales Unit                3,000              10,000                  1,000

Sales Price

                     10                      10                        10 Revenue              30,000           100,000                10,000 NWC required              25,000                2,500                         -   Investment                  (50,000) Net WC Revenue              30,000           100,000                10,000 Variable cost              (9,000)           (30,000)                (3,000) Fixed Cost           (25,000)           (25,000)              (25,000) Depreciation           (16,667)           (16,667)              (16,667) Salvage            10,000.0 Total Pretax Income        (20,666.7)          28,333.3          (24,666.7) Tax@34%            9,633.3 Post Tax Income        (20,666.7)          18,700.0          (24,666.7) Add back depreciation          16,666.7          16,666.7            16,666.7 Total Cash in Flow          (4,000.0)          35,366.7            (8,000.0) Discount Factor @15% 1                0.870                0.756                  0.658 PV of Cash in Flow                    18,004              (3,478)              26,742                (5,260) NPV $       (31,996.11) At the end of year 1 , the cash flow is $4,000 negative. NWC required at the beginning of year =$25000 At the end of year 1 , the NWC requirement increases by $4000 due to negative cash Flow in year 1
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