In: Finance
New-Project Analysis The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer's base price is $1,170,000, and it would cost another $20,000 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 $550,000. The machine would require an increase in net working capital (inventory) of $18,000. The sprayer would not change revenues, but it is expected to save the firm $460,000 per year in before-tax operating costs, mainly labor. Campbell's marginal tax rate is 35%. Cash outflows, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to the nearest dollar.
|
a.Initial Investment Outlay = Base Price + Modification cost + Increase in Working Capital | |||
=-1,170,000-20000-18000 | |||
(1,208,000) | since outflow | ||
b.Annual Cash Flows: | |||
Year 1 | 2 | 3 | |
Savings in Cost | 460,000 | 460,000 | 460,000 |
Less: Depreciation | 396,627 | 528,955 | 176,239 |
Net Savings | 63,373 | -68,955 | 283,761 |
Less: Tax @35% | 22,180.55 | -24,134.25 | 99,316.35 |
Income after Tax | 41,192.45 | -44,820.75 | 184,444.65 |
Add: Depreciation | 396,627 | 528,955 | 176,239 |
Operating Cash Flow | 437,819.45 | 484,134.25 | 360,683.65 |
Add: After tax salvage value | 388,362.65 | ||
Recovery of Working capital | 15,500 | ||
Additional cash flows | 403,863 | ||
Total Cash Flow | 437,819.45 | 484,134.25 | 764,546.30 |
Written down value | 88,179 | ||
Sale price | 550000 | ||
Gain on sale | 461,821 | ||
Tax | 161637.35 | ||
After tax salvage value | 388362.65 | ||
c.NPV = Present value of cash inflows – present value of cash outflows | |||
= 437,819.45*PVF(11%, 1 year) + 484134.25*PVF(11%, 2 years) + 764546.30*PVF(11%, 3 years) – 1208000 | |||
138395.8201 | |||
Yes, should be purchased (since NPV is positive) |