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 $1.3 million for this​ report, and I am not sure their analysis makes sense. Before we spend the $22 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):

Entrepreneurial Finance
6th Edition
ISBN:9781337635653
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Chapter14: Security Structures And Determining Enterprise Values
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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 $1.3 million for this​ report, and I am not sure their analysis makes sense. Before we spend the $22 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. The report concludes that because the project will increase earnings by $5.472 million per year for ten​ years, the project is worth $54.72 million. You think back to your halcyon days in finance class and realize there is more work to be​ done!  ​First, you note that the consultants have not factored in the fact that the project will require $10 million in working capital upfront​ (year 0), which will be fully recovered in year 10.​ Next, you see they have attributed $1.76 million of​ selling, general and administrative expenses to the​ project, but you know that $0.88 million of this amount is overhead that will be incurred even if the project is not accepted.​ Finally, you know that accounting earnings are not the right thing to focus​ on!
a. Given the available​ information, what are the free cash flows in years 0 through 10 that should be used to evaluate the proposed​ project?
b. If the cost of capital for this project is 15%​, what is your estimate of the value of the new​ project?
Earnings Forecast ($ million)
Project Year
1
2
10
Sales revenue
27.000
27.000
27.000
27.000
Cost of goods sold
= Gross profit
16.200
16.200
16.200
16.200
10.800
10.800
10.800
10.800
- Selling, general, and administrative expenses
- Depreciation
= Net operating income
1.760
1.760
1.760
1.760
2.200
2.200
2.200
2.200
6.840
6.840
6.840
6.840
-Income tax
1.368
1.368
1.368
1.368
= Net unlevered income
5.472
5.472
5.472
5.472
Transcribed Image Text:Earnings Forecast ($ million) Project Year 1 2 10 Sales revenue 27.000 27.000 27.000 27.000 Cost of goods sold = Gross profit 16.200 16.200 16.200 16.200 10.800 10.800 10.800 10.800 - Selling, general, and administrative expenses - Depreciation = Net operating income 1.760 1.760 1.760 1.760 2.200 2.200 2.200 2.200 6.840 6.840 6.840 6.840 -Income tax 1.368 1.368 1.368 1.368 = Net unlevered income 5.472 5.472 5.472 5.472
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