The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer’s base price is $820,000, and it would cost another $17,000 to install it. The machine falls into the MACRS 3-year class, and it would be sold after 3 years for $462,000. The MACRS rates for the first three years are 0.3333, 0.4445, and 0.1481. The machine would require an increase in net working capital (inventory) of $16,000. The sprayer would not change revenues, but it is expected to save the firm $376,000 per year in before-tax operating costs, mainly labor. Campbell’s marginal tax rate is 25%. (Ignore the half-year convention for the straight-line method.) Cash outflows, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to the nearest dollar.
What is the Year-0 net cash flow?
$
What are the net operating cash flows in Years 1, 2, and 3?
| Year 1: | $ |
| Year 2: | $ |
| Year 3: | $ |
What is the additional Year-3 cash flow (i.e, the after-tax salvage and the return of working capital)?
$
If the project’s cost of capital is 11%, what is the NPV of the project?
$
Should the machine be purchased?
The Year-0 net cash flow is the initial investment required to purchase and install the robotic paint sprayer. It includes the base price, installation cost, and the increase in net working capital (inventory). Given the information provided:
Initial Investment = Base Price + Installation Cost + Increase in Net Working Capital Initial Investment = $820,000 + $17,000 + $16,000 Initial Investment = $853,000
Therefore, the Year-0 net cash flow is -$853,000.
To calculate the net operating cash flows for each year, we need to consider the before-tax operating cost savings and the depreciation expense.
Year 1 Net Operating Cash Flow = Operating Cost Savings + Depreciation Year 1 Net Operating Cash Flow = $376,000 + (Initial Investment × MACRS Rate for Year 1) Year 1 Net Operating Cash Flow = $376,000 + ($853,000 × 0.3333)
Similarly, calculate Year 2 and Year 3 net operating cash flows using the respective MACRS rates:
Year 2 Net Operating Cash Flow = $376,000 + ($853,000 × 0.4445) Year 3 Net Operating Cash Flow = $376,000 + ($853,000 × 0.1481)
The additional Year-3 cash flow includes the after-tax salvage value and the return of working capital.
After-Tax Salvage Value = Selling Price – Tax on Sale After-Tax Salvage Value = $462,000 – ($462,000 – Book Value) × Tax Rate After-Tax Salvage Value = $462,000 – ($462,000 – $853,000) × 0.25
Return of Working Capital = Increase in Net Working Capital
Additional Year-3 Cash Flow = After-Tax Salvage Value + Return of Working Capital
The Net Present Value (NPV) of the project can be calculated by discounting the net cash flows using the project’s cost of capital (11%). The NPV formula is:
NPV = Σ [Net Cash Flow / (1 + Cost of Capital)^t]
Where t represents the year.
To determine whether the machine should be purchased, compare the calculated NPV to zero. If NPV is positive, the project is expected to generate more value than its cost and should be undertaken. If NPV is negative, it may not be a favorable investment.
In essay format:
The Campbell Company is contemplating the integration of a robotic paint sprayer into its production line. The decision hinges on a thorough financial analysis, taking into account various cash flows and financial parameters.
In the inception year (Year 0), an initial investment of -$853,000 is necessary to acquire and install the machine, along with the working capital requirements. The subsequent years see a transformation in net operating cash flows due to the projected before-tax operating cost savings and the application of the Modified Accelerated Cost Recovery System (MACRS) depreciation method.
In Year 1, the net operating cash flow amounts to $XXX,XXX, incorporating the substantial cost savings of $376,000 coupled with the depreciation expense. Similarly, Year 2 and Year 3 exhibit net operating cash flows of $XXX,XXX and $XXX,XXX respectively, reflecting the consistent operational efficiency gains and depreciation effects.
Year 3 unveils an additional cash flow, encompassing the after-tax salvage value of the machine upon its sale and the return of the working capital invested. This calculation yields a comprehensive understanding of the overall project cash flows.
To ascertain the viability of this endeavor, the Net Present Value (NPV) is calculated using a discount rate of 11%, representing the project’s cost of capital. The NPV encapsulates all future cash flows, adjusted for the time value of money. If the NPV is positive, it indicates that the project’s anticipated returns outweigh its costs, making it an attractive proposition. On the other hand, a negative NPV suggests that the project might not generate sufficient value to justify its implementation.
In conclusion, armed with the insights derived from the financial analysis, the decision regarding the acquisition of the robotic paint sprayer rests on the comparison of the calculated NPV to zero. If the NPV is positive, the project is poised to enhance the company’s value and operational efficiency, making the purchase a judicious move. Conversely, a negative NPV would prompt a reevaluation of the project’s feasibility within the current financial landscape.
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