You are a manager at Percolated Fiber, which is considering expanding its operations in synthetic fiber

manufacturing. Your boss comes into your office, drops a consultant's report on your desk, and complains, $"$We

owe these consultants $$1\mathrm{.}800$ million for this report, and I am not sure their analysis makes sense. Before we

spend the $$22\mathrm{.}500$ million on new equipment needed for this project, look it over and give me your opinion."

You open the report and find the following estimates $($in millions of dollars$)$: $.$

All of the estimates in the report seem correct. You note that the consultants used straight$-$line depreciation for

the new equipment that will be purchased today $($year $0),$ which is what the accounting department

recommended. They also calculated the depreciation assuming no salvage value for the equipment. The repor

concludes that because the project will increase earnings by $$7\mathrm{.}860$ million per year for $10$ years, the project is

worth $$78\mathrm{.}600$ million. You think back to your glory days in finance class and realize there is more work to

be done!

First, you note that the consultants have not included the fact that the project will require $$9\mathrm{.}500$ million in

working capital up front $($year $0),$ which will be fully recovered in year $10.$ Next, you see they have attributed

$$1\mathrm{.}800$ million of selling, general, and administrative expenses to the project, but you know that $$0\mathrm{.}900$ million

of this amount is overhead that will be incurred even if the project is not accepted. Finally, you know that

accounting earnings are not the right thing to focus on$!$

a$.$ Given the available information, what are the free cash flows in years $0$ through $10$ that should be used to

evaluate the proposed project?

b$.$ If the cost of capital for this project is $10\%,$ what is your estimate of the value of the new project?

a$.$ Given the available information, what are the free cash flows in years $0$ through $10$ that should be used to

evaluate the proposed project?

The free cash flow for year $0$ is $ million. $($Round to three decimal places.$)$

Data table

$\backslash$table$[[1,$Year,$1,2,$dots,$9,10],[2,$Sales Revenue,$35\mathrm{.}000,35\mathrm{.}000,,35\mathrm{.}000,35\mathrm{.}000],[3,$Cost of Goods Sold,$21\mathrm{.}000,21\mathrm{.}000,,21\mathrm{.}000,21\mathrm{.}000],[4,$Gross Profit,$14\mathrm{.}000,14\mathrm{.}000,,14\mathrm{.}000,14\mathrm{.}000],[5,\backslash$table$[[$Selling$,$ General, and Administrative$],[$Expenses$]],1\mathrm{.}800,1\mathrm{.}800,,1\mathrm{.}800,1\mathrm{.}800],[6,$Depreciation,$2\mathrm{.}250,2\mathrm{.}250,,2\mathrm{.}250,2\mathrm{.}250],[7,$EBIT,$9\mathrm{.}950,9\mathrm{.}950,,9\mathrm{.}950,9\mathrm{.}950],[8,$Income Tax,$2\mathrm{.}090,2\mathrm{.}090,,2\mathrm{.}090,2\mathrm{.}090],[9,$Net Income,$7\mathrm{.}860,7\mathrm{.}860,,7\mathrm{.}860,7\mathrm{.}860]]$