You are a manager at Percolated Fibre, which is considering expanding its operations in synthetic fibre manufacturing. Your boss comes into your office, drops a consultant's report on your desk, and complains, "We owe these consultants

$1.4

million for this report, and I am not sure their analysis makes sense. Before we spend the

$16.4

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):

Click on the Icon located on the top-right corner of the data table below in order to copy its information into a spreadsheet.

	Project year
Earnings forecast	1	2	. . .	9	10
Sales revenue	31.000	31.000		31.000	31.000
Cost of goods sold	18.600	18.600		18.600	18.600
=Gross profit	12.400	12.400		12.400	12.400
General, sales and administrative expenses	1.312	1.312		1.312	1.312
Depreciation	1.640	1.640		1.640	1.640
=Net operating profit	9.448	9.448		9.448	9.448
Income tax	2.834	2.834		2.834	2.834
=Net profit	6.614	6.614		6.614	6.614

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, which is the company's assumption in this case. The report concludes that because the project will increase earnings by

$6.614

million per year for ten years, the project is worth

$66.14

million. You think back to your glory days in finance class and realise there is more work to be done!

First, you note that the consultants have not factored in the fact that the project will require

$13.2

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

$1.312

million of selling, general and administrative expenses to the project, but you know that

$0.656

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 to 10 that should be used to evaluate the proposed project?

b. If the cost of capital for this project is

12%,

what is your estimate of the value of the new project?