Question

In: Finance

                                          &nb

                                                                   Income Statement

                                                     For the Year Ended December 31, 2009

Sales (all on credit) …………………………………………………………… $ 4,000,000

Cost of Goods Sold…………………………………………………………………3,000,000

                                                                                                           ___________

Gross Profit………………………………………………………………………….$ 1,000,000

Selling and Administrative Expenses…………………………………….      450,000

                                                                                                           _____________

Operating Profit ……………………………………………………………………$   550,000

Interest Expense……………………………………………………………………       50,000

Extraordinary Loss………………………………………………………………….    200,000

Earnings Before Taxes……………………………………………………………$   300,000

Income Taxes (33%)……………………………………………………………….     100,000

Net Income…………………………………………………………………………….$ 200,000

                                                                   Income Statement

                                                     For the Year Ended December 31, 2009

Sales (all on credit) …………………………………………………………… $ 4,000,000

Cost of Goods Sold…………………………………………………………………3,000,000

                                                                                                           ___________

Gross Profit………………………………………………………………………….$ 1,000,000

Selling and Administrative Expenses…………………………………….      450,000

                                                                                                           _____________

Operating Profit ……………………………………………………………………$   550,000

Interest Expense……………………………………………………………………       50,000

Extraordinary Loss………………………………………………………………….    200,000

Earnings Before Taxes……………………………………………………………$   300,000

Income Taxes (33%)……………………………………………………………….     100,000

Net Income…………………………………………………………………………….$ 200,000

                            Balance Sheet

                                                                   As of December 31, 2009

                                                                             Assets

Cash…………………………………………………………………………… $   30,000

Accounts Receivable…………………………………………………..     350,000

Marketable Securities ………………………………………………..       50,000

Inventory…………………………………………………………………….     370,000

                                                                                                  ____________

Total Current Assets……………………………………………………. $ 800,000

Net Plant and Equipment……………………………………………..     800,000

                                                                                                   ____________

Total Assets………………………………………………………………….$ 1,600,000   

                                                                  Liabilities and Stockholders’ Equity

Accounts Payable…………………………………………………………..$   50,000

Notes Payable………………………………………………………………..   250,000

                                                                                                   _____________

Total Current Liabilities…………………………………………………..$ 300,000

Long Term Liabilities………………………………………………………… 300,000

                                                                                                      ____________                                  

Total Liabilities ………………………………………………………………..$ 600,000

Common Stock…………………………………………………………………. 400,000

Retained Earnings…………………………………………………………….. 600,000

                                                                                                        ____________

Total Stockholders’ Equity……………………………………………….$ 1,000,000

                                                                                                        ____________

Total Liabilities and Stockholders’ Equity………………………… $ 1,600,000

  • The firm is looking to expand its operations by 10% of the firm's net property, plant, and equipment. (Calculate this amount by taking 10% of the property, plant, and equipment figure that appears on the firm's balance sheet.)
  • The estimated life of this new property, plant, and equipment will be 12 years. The salvage value of the equipment will be 5% of the property, plant and equipment's cost.
  • The annual EBIT for this new project will be 18% of the project's cost.
  • The company will use the straight-line method to depreciate this equipment. Also assume that there will be no increases in net working capital each year. Use 35% as the tax rate in this project.
  • The hurdle rate for this project will be the WACC that you are able to find on a financial website, such as Gurufocus.com. If you are unable to find the WACC for a company, contact your instructor. He or she will assign you a WACC rate.
  • Calculations:
  • Your calculations for the amount of property, plant, and equipment and the annual depreciation for the project
  • Your calculations that convert the project's EBIT to free cash flow for the 12 years of the project.
  • The following capital budgeting results for the project
    • Net present value
    • Internal rate of return
    • Discounted payback period.

Solutions

Expert Solution

As WACC is not provided , we will calculate with the available informations
and some assumptions--- ONLY under which this question can be done.
(evev under Gurufocus.com, we need beta of the company)
WACC= (Wt.of debt*Cost of debt)+(Wt. of equity*Cost of equity)
ie. WACC=(Wt.d*kd)+(Wt. e*ke)
Now, for before-tax cost of debt= Interest expense/Long-term debt
ie.50000/300000=
16.67%
So, after-tax cost of debt=Before tax cost*(1-Tax Rate)
ie. 16.67%*(1-35%)=
10.84%
Now, for cost of equity,
as neither company name nor any beta ,being available
Assuming, all net income are paid out as dividends,
under the assumption, retention ratio =0 , so sustainable growth rate= ROE*RR will be 0
so, we calculate cost of equity as follows:
Book value Cost of equity=$ dividend/total equity
ie. 200000/1000000=
20%
Wt. of debt=300000/(1000000+300000)= 3/13
Wt.of Equity=1000000/(1000000+300000)= 10/13
WACC=(3/13*10.84%)+(10/13*20%)=
17.89%
Investment in plant =(800000*10%)= -80000
EBIT=80000*18%= 14400
EBIT is after depn.of (Cost-Salvage value)/no.of yrs.--ie.(80000-(80000*5%))/12= 6333
EAT=14400*(1-35%)= 9360
Add back: depn. 6333
OCF/annual FCF (for yrs. 1-12) 15693
Additional FCF in Yr.12 --after-tax Salvage(BV=SV=4000; so no gain no loss ) 4000
So, tabulating the FCFs
Year 0 1 2 3 4 5 6 7 8 9 10 11 12
1.Initial investment -80000
2.FCFs (as calculated above) 15693 15693 15693 15693 15693 15693 15693 15693 15693 15693 15693 19693
3.Total FCFs(1+2) -80000 15693 15693 15693 15693 15693 15693 15693 15693 15693 15693 15693 19693
4.PV F at (WACC)17.89% 1 0.84825 0.71953 0.61034 0.51772 0.43915 0.37251 0.31598 0.26803 0.22736 0.19285 0.16359 0.13876
5.PV at 17.89%(3*4) -80000 13311.56 11291.51 9578.01 8124.53 6891.62 5845.80 4958.69 4206.20 3567.90 3026.47 2567.20 2732.68
6.NPV at 17.89%(sum of Row 5) -3897.8
7.IRR(of Row 3-FCF) 16.66%
Discounted payback period
As the NPV is NEGATIVE, it does not pay back within 12 years.
Ordinary payback period
Cumulative FCFs(Row 3) -80000 -64307 -48614 -32921 -17228 -1535 14158 29851 45544 61237 76930 92623 112316
P/B=5+(1535/15693)=
5.10
Years

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