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The Campbell Company is considering adding a robotic paint sprayer to its production line
The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer's base price is $800,000, and it would cost another $23,000 to install it. The machine falls into the MACRS 3-year class, and it would be sold after 3 years for $526,000. 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 $14,000. The sprayer would not change revenues, but it is expected to save the firm $362,000 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.
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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 13%, what is the NPV of the project?
$
Expert Solution
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Answer : Calculation of Operating Cash Flow :
(a.) Calculation of Year-0 net cash flow :
Cash Flow in Year 0 = Base Price + Installation Cost + Increase in Net working Capital
= 800000 + 23000 + 14000
= - 837000
(b.) Calculation of Cash Flow :
Year 1 :340076
Year 2 : 362956
Year 3 :301972
(c.) Additional Cash Flow :423746
(d.) NPV :251159
Below is the table showing Calculation of NPV :
Year 0 Year 1 Year 2 Year 3 Initial Investment (800000+23000) -823000 Before tax Operating Cost saving 362000 362000 362000 Less : Depreciation (Working Note) 274305.90 365823.50 121886.30 Earning before taxes 87694.10 -3823.50 240113.70 Taxes @ 25% 21923.53 -955.875 60028.425 Net Income 65770.58 -2867.625 180085.28 Add : Depreciation 274305.9 365823.5 121886.3 Add: Salvage Value 526000 Less : Tax on Sale 116253.93 Net Working Capital -14000 Recapture of Net Working Capital 14000 Free Cash Flows -837000 340076.48 362955.88 725717.65 PV Factor @ 10% 1 0.884956 0.783147 0.6930502 PV of Net Cash flows (Inflow) 300952.6 284247.7 502958.74 PV of Net Cash flows (Outflow) -837000 The net present value (NPV) of this project is = $ 251159 NPV = PV of cash inflow - PV of cash outflow = 1088159.058- 837000 = $ 251159 Working Note : Calculation of Depreciation Year 1 = 823000 * 0.3333 = 274305.9 Year 2 = 823000 * 0.4445 = 365823.5 Year 3 = 823000 * 0.1481 = 121886.3 Book Value at the end of year 3 = 823000 - 274305.9 - 365823.5 - 121886.3 = 60984.3 Gain on Sale = 526000 - 60984.3 = 465015.7 Tax on Gain on sale = 465015.7 * 25% = 116253.925
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