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 $ 1.1 million for this​ report, and I am not sure their analysis makes sense. Before we spend the $ 29 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):       Project Year Earnings Forecast​ ($ million) 1 2 . . . 9 10 Sales revenue 28.00028.000 28.00028.000   28.00028.000 28.00028.000 minus−Cost of goods sold 16.80016.800 16.80016.800   16.80016.800 16.80016.800 equals=Gross profit 11.20011.200 11.20011.200   11.20011.200 11.20011.200 minus−​Selling, ​general, and administrative expenses 2.3202.320 2.3202.320   2.3202.320 2.3202.320 minus−Depreciation 2.9002.900 2.9002.900   2.9002.900 2.9002.900 equals=Net operating income 5.9805.980 5.9805.980   5.9805.980 5.9805.980 minus−Income tax 1.1961.196 1.1961.196   1.1961.196 1.1961.196 equals=Net unlevered income 4.7844.784 4.7844.784   4.7844.784 4.7844.784  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 $ 4.784 million per year for ten​ years, the project is worth $ 47.84 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 $ 14 million in working capital upfront​ (year 0), which will be fully recovered in year 10.​ Next, you see they have attributed $ 2.32 million of​ selling, general and administrative expenses to the​ project, but you know that $ 1.16 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 13 %​, what is your estimate of the value of the new​ project?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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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 $ 1.1 million for this​ report, and I am not sure their analysis makes sense. Before we spend the $ 29 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): 

  
 
Project Year
Earnings Forecast​ ($ million)
1
2
. . .
9
10
Sales revenue
28.00028.000
28.00028.000
 
28.00028.000
28.00028.000
minus−Cost
of goods sold
16.80016.800
16.80016.800
 
16.80016.800
16.80016.800
equals=Gross
profit
11.20011.200
11.20011.200
 
11.20011.200
11.20011.200
minus−​Selling,
​general, and administrative expenses
2.3202.320
2.3202.320
 
2.3202.320
2.3202.320
minus−Depreciation
2.9002.900
2.9002.900
 
2.9002.900
2.9002.900
equals=Net
operating income
5.9805.980
5.9805.980
 
5.9805.980
5.9805.980
minus−Income
tax
1.1961.196
1.1961.196
 
1.1961.196
1.1961.196
equals=Net
unlevered income
4.7844.784
4.7844.784
 
4.7844.784
4.7844.784

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 $ 4.784 million per year for ten​ years, the project is worth $ 47.84 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 $ 14 million in working capital upfront​ (year 0), which will be fully recovered in year 10.​ Next, you see they have attributed $ 2.32 million of​ selling, general and administrative expenses to the​ project, but you know that $ 1.16 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 13 %​, what is your estimate of the value of the new​ project?
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