Chapter 11
      
 
      
InputsActualProjectedProjectedProjectedProjected
 20112012201320142015
Sales Growth Rate 15%10%6%6%
Costs / Sales72%72%72%72%72%
Depreciation / Net PPE10%10%10%10%10%
Cash / Sales1%1%1%1%1%
Acct. Rec. / Sales10%10%10%10%10%
Inventories / Sales20%20%20%20%20%
Net PPE / Sales75%75%75%75%75%
Acct. Pay. / Sales2%2%2%2%2%
Accruals / Sales5%5%5%5%5%
Tax rate40%40%40%40%40%
Weighted average cost of capital (WACC)10.5%10.5%10.5%10.5%10.5%
      
Income Statement for the Year Ending December 31 (Millions of Dollars)
 2011    
Net Sales $       800.0    
Costs (except depreciation) $       576.0    
Depreciation $          60.0    
   Total operating costs $       636.0    
Earning before int. & tax $       164.0    
   Less interest $          32.0    
Earning before taxes $       132.0    
   Taxes (40%) $          52.8    
Net income before pref. div. $          79.2    
   Preferred div. $            1.4    
Net income avail. for com. div. $          77.9    
Common dividends $          31.1    
Addition to retained earnings $          46.7    
      
Number of shares (in millions)                10    
Dividends per share $          3.11    
      
Balance Sheets for December 31 (Millions of Dollars)
Assets2011 Liabilities and Equity2011
Cash $            8.0 Accounts Payable $           16.0
Marketable Securities             20.0 Notes payable              40.0
Accounts receivable             80.0 Accruals               40.0
Inventories           160.0    Total current liabilities $           96.0
   Total current assets $       268.0 Long-term bonds $        300.0
Net plant and equipment           600.0 Preferred stock $           15.0
Total Assets $       868.0 Common Stock
(Par plus PIC)
 $        257.0
   Retained earnings            200.0
      Common equity $        457.0
   Total liabilities and equity $        868.0
      
a.  Forecast the parts of the income statement and balance sheets necessary to calculate free cash flow.
      
Partial Income Statement for the Year Ending December 31 (Millions of Dollars)
 ActualProjectedProjectedProjectedProjected
 20112012201320142015
Net Sales $       800.0    
Costs (except depreciation) $       576.0    
Depreciation $          60.0    
   Total operating costs $       636.0    
Earning before int. & tax $       164.0    
      
Partial Balance Sheets for December 31 (Millions of Dollars)
 ActualProjectedProjectedProjectedProjected
Operating Assets20112012201320142015
Cash $            8.0    
Accounts receivable $          80.0    
Inventories $       160.0    
Net plant and equipment $       600.0    
      
Operating Liabilities     
Accounts Payable $          16.0    
Accruals $          40.0    
      
b.   Calculate free cash flow for each projected year.  Also calculate the growth rates of free cash flow each year to ensure that there is constant growth (i.e., the same as the constant growth rate in sales) by the end of the forecast period.
 ActualProjectedProjectedProjectedProjected
Calculation of FCF20112012201320142015
Operating current assets     
Operating current liabilities     
Net operating working capital     
Net PPE     
Net operating capital     
NOPAT     
Investment in operating capitalna    
Free cash flowna    
Growth in FCFna    
Growth in sales     
      
c.  Calculate operating profitability (OP=NOPAT/Sales), capital requirements (CR=Operating capital/Sales),  and return on invested capital (ROIC=NOPAT/Operating capital at beginning of year).  Based on the spread  between ROIC and WACC, do you think that the company will have a positive market value added (MVA=  Market value of company - book value of company = Value of operations - Operating capital)?
      
 ActualProjectedProjectedProjectedProjected
 20112012201320142015
Operating profitability
     (OP=NOPAT/Sales)
     
Capital requirement
     (CR=Operating capital/Sales)
     
Return on invested capital
     (ROIC=NOPAT/Operating capital at
     start of year)
na    
Weighted average cost of capital (WACC)na    
Spread between ROIC and WACCna    
      
      
d.  Calculate the value of operations and MVA.  (Hint: first calculate the horizon value at the end of the forecast period, which is equal to the value of operations at the end of the forecast period.  Assume that the annual growth rate beyond the horizon is 6 percent.)
 ActualProjectedProjectedProjectedProjected
 20112012201320142015
Free cash flow     
Long-term constant growth in FCF     
Weighted average cost of capital (WACC)10.5%10.5%10.5%10.5%10.5%
Horizon value     
FCF + horizon value     
Value of operations (PV of FCF + HV)     
Operating capital     
Market value added (MVA=Market value of company - book value of company = Value of operations - Operating capital)     
      
e.  Calculate the price per share of common equity as of 12/31/2009.
      
 Actual    
 2011    
Value of Operations     
Plus Value of Mkt. Sec.     
Total Value of Company     
Less Value of Debt     
Less Value of Pref.     
Value of Common Stock     
Number of shares     
Price per share     
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