Question

The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer's base price is $1,090,000, and it would cost another $22,500 to install it. The machine falls into the MACRS 3-year class (the applicable MACRS depreciation rates are 33.33%, 44.45%, 14.81%, and 7.41%), and it would be sold after 3 years for $627,000. The machine would require an increase in net working capital (inventory) of $16,500. The sprayer would not change revenues, but it is expected to save the firm $430,000 per year in before-tax operating costs, mainly labor. Campbell's marginal tax rate is 30%. Cash outflows, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to the nearest dollar.
a. What is the Year-0 net cash flow?
$
b. What are the net operating cash flows in Years 1, 2, and 3?
Year 1: $
Year 2: $
Year 3: $
c. What is the additional Year 3 cash flow (i.e, the after-tax salvage and the return of working capital)?
$
d. If the project's cost of capital is 13 %, what is the NPV of the project?
$
Should the machine be purchased?
a. Yes
b. No

Answer 1

Answer:

a) -$1,129,000

b) net operating cash flows:

year 1 = $412,239

year 2 = $448,152

year 3 = $350,428

c) total year 3 cash flow (including after tax salvage value and working capital) = $831,759

after tax salvage value = $464,831

working capital = $16,500

d) NPV = $179,733

e) the machine should be purchased

Explanation:

initial investment year 0 = $1,090,000 + $22,500 + $16,500 (net working capital) $1,129,000

depreciation per year:

year 1 = 33.33% x $1,112,500 = $370,796

year 2 = 44.45% x $1,112,500 = $490,506

year 3 = 14.81%% x $1,112,500 = $164,761, carrying value after depreciation = $86,437

if sold at $627,000 at the end of year 3, the after tax net cash flow = $627,000 - [($627,000 - $86,437) x 30%] = $464,831

cash flow year 1 = [($430,000 - $370,796) x (1 - 30%)] + $370,796 = $412,239

cash flow year 2 = [($430,000 - $490,506) x (1 - 30%)] + $490,506 = $448,152

operating cash flow year 3 = [($430,000 - $164,761) x (1 - 30%)] + $164,761 = $350,428

total cash flow year 3 = [($430,000 - $164,761) x (1 - 30%)] + $164,761 + $16,500 +  $464,831 = $831,759

NPV = $179,733