The Luminary Workshop is considering investing in a new 3D printing machine with an expected lifespan of three years. The cost of acquiring this machine is $30,000, and it will be depreciated using the straight-line method over its three-year life until it reaches a residual value of $0.The 3D printing machine is projected to yield 2,000 customized creations in the first year. Sales are expected to increase by 10% annually over the three-year period. The selling price for each customized item will be set at a constant rate of $18. The production cost per item is estimated to be $9.The installation of the new machine and the resulting expansion of production capacity will necessitate adjustments in various net working capital components. It's estimated that the Luminary Workshop should maintain cash equal to 2% of its annual sales, accounts receivable equivalent to 4% of its annual sales, inventory worth 9% of its annual sales, and accounts payable totalling 5% of its annual sales.The firm operates within a 30% tax bracket and has a cost of capital set at 10%.What would be the cash flow you included in the capital budgeting table for the change of NWC adjustment for the second year of the project?
Question
The Luminary Workshop is considering investing in a new 3D printing machine with an expected lifespan of three years. The cost of acquiring this machine is 0.The 3D printing machine is projected to yield 2,000 customized creations in the first year. Sales are expected to increase by 10% annually over the three-year period. The selling price for each customized item will be set at a constant rate of 9.The installation of the new machine and the resulting expansion of production capacity will necessitate adjustments in various net working capital components. It's estimated that the Luminary Workshop should maintain cash equal to 2% of its annual sales, accounts receivable equivalent to 4% of its annual sales, inventory worth 9% of its annual sales, and accounts payable totalling 5% of its annual sales.The firm operates within a 30% tax bracket and has a cost of capital set at 10%.What would be the cash flow you included in the capital budgeting table for the change of NWC adjustment for the second year of the project?
Solution
To calculate the change in Net Working Capital (NWC) for the second year, we first need to calculate the projected sales for that year.
- Calculate the sales for the first year: 2,000 units * 36,000
- Calculate the sales for the second year, which is a 10% increase from the first year: 39,600
Next, we calculate the NWC for the first and second years:
- NWC for the first year = (2% + 4% + 9% - 5%) * 3,600
- NWC for the second year = (2% + 4% + 9% - 5%) * 3,960
The change in NWC from the first year to the second year is the NWC for the second year minus the NWC for the first year: 3,600 = $360
So, the cash flow that should be included in the capital budgeting table for the change of NWC adjustment for the second year of the project is $360.
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