Firm | Number of Years in Operation | Market Capitalization | Required Return for Common Stock |
A | 12 years | $1,324.8 million | 14.8% |
B | 4 years | $1,313.9 million | 18.3% |
C | 19 years | $2,231.0 million | 16.4% |
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Reported EBITDA | $4,500,000 |
Current Executive Compensation | $700,000 |
Market-Based Executive Compensation | $620,000 |
Current SG&A expenses | $6,300,000 |
SG&A expenses after synergistic savings | $5,600,000 |
Current Lease Rate | $300,000 |
Market-Based Lease Rate | $390,000 |
Financial Buyer | Strategic Buyer |
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Current Revenues | $30,000,000 |
Revenue growth | 6% |
Gross profit margin | 20% |
Depreciation expense as a percent of sales | 1% |
Working capital as a percent of sales | 15% |
SG&A expenses | $3,800,000 |
Tax rate | 30% |
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Pro forma Income Statement | |
Revenues | $31,800,000 |
Cost of Goods Sold | $25,440,000 |
Gross Profit | $6,360,000 |
SG&A Expenses | $3,800,000 |
Pro forma EBITDA | $2,560,000 |
Depreciation and amortization | $318,000 |
Pro forma EBIT | $2,242,000 |
Pro forma taxes on EBIT | $672,600 |
Operating income after tax | $1,569,400 |
Adjustments to obtain FCFF | |
Plus: Depreciation and amortization | $318,000 |
Minus: Capital expenditures | $372,000 |
Minus: Increase in working capital | $270,000 |
FCFF | $1,245,400 |
Pro forma Income Statement | Explanation |
Revenues | Current revenues times the growth rate: $30,000,000 × (1.06) |
Cost of Goods Sold | Revenues times one minus the gross profit margin: $31,800,000 × (1 − 0.20) |
Gross Profit | Revenues times the gross profit margin: $31,800,000 × 0.20 |
SG&A Expenses | Given in the question |
Pro forma EBITDA | Gross Profit minus SG&A expenses: $6,360,000 − $3,800,000 |
Depreciation and amortization | Revenues times the given depreciation expense: $31,800,000 × 0.01 |
Pro forma EBIT | EBITDA minus depreciation and amortization: $2,560,000 − $318,000 |
Pro forma taxes on EBIT | EBIT times tax rate: $2,242,000 × 0.30 |
Operating income after tax | EBIT minus taxes: $2,242,000 − $672,600 |
Adjustments to obtain FCFF | |
Plus: Depreciation and amort. | Add back noncash charges from above |
Minus: Capital expenditures | Expenditures cover depreciation and increase with revenues: $318,000 + (0.03 × $31,800,000 − $30,000,000) |
Minus: Increase in working capital | The working capital will increase as revenues increase: (0.15 × $31,800,000 − $30,000,000) |
FCFF | Operating income net of the adjustments above |
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Normalized FCFE in current year | $3,000,000 |
Reported FCFE in current year | $2,400,000 |
Growth rate of FCFE | 7.0% |
Equity discount rate | 16.0% |
WACC | 13.0% |
Risk-free rate | 3.5% |
Cost of debt | 10.5% |
Market value of debt | $3,000,000 |
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Working capital | $600,000 |
Fixed assets | $2,300,000 |
Normalized earnings | $340,000 |
Required return for working capital | 5% |
Required return for fixed assets | 13% |
Growth rate of residual income | 4% |
Discount rate for intangible assets | 18% |
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Income return on bonds | 6.0% |
Capital return on bonds | 2.0% |
Long-term Treasury yield | 3.5% |
Beta | 1.4 |
Equity risk premium | 6.0% |
Small stock premium | 4.0% |
Company-specific risk premium | 3.0% |
Industry risk-premium | 2.0% |
Pretax cost of debt | 11.0% |
Optimal Debt/Total Cap | 16% |
Current Debt/Total | 7% |
Debt/Total Cap for public firms in industry | 33% |
Tax Rate | 30% |
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Income return on bonds | 6.0% |
Capital return on bonds | 2.0% |
Long-term Treasury yield | 3.5% |
Beta | 1.4 |
Equity risk premium | 6.0% |
Small stock premium | 4.0% |
Company-specific risk premium | 3.0% |
Industry risk-premium | 2.0% |
Pretax cost of debt | 11.0% |
Optimal Debt/Total Cap | 20% |
Current Debt/Total | 7% |
Debt/Total Cap for public firms in industry | 33% |
Tax Rate | 30% |
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Market value of debt | $4,100,000 |
Normalized EBITDA | $42,800,000 |
Average MVIC/EBITDA multiple | 8.5 |
Control premium from past transaction | 25% |
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Firm's equity value | $19,000,000 |
Minority interest | 10% |
Value of minority interest without discounts | $1,900,000 |
minus DLOC of 0% | 0 |
Value of interest if marketable | $1,900,000 |
minus DLOM of 15% | $285,000 |
Value of minority interest | $1,615,000 |
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