| 1 |
| Mket value | 275,000 |
| EBIT | 21,000 |
| Number of shares | 5,000 |
| Debt issue | 99,000 |
| | Recession | | Normal | | Expansion |
| EBIT | 12,600 | | 21,000 | | 26,250 |
| Interest | 0 | | 0 | | 0 |
| Net income | 12,600 | | 21,000 | | 26,250 |
| Numer shares | 5,000 | | 5,000 | | 5,000 |
| EPS | 2.52 | | 4.20 | | 5.25 |
| | -40% | | | | 25% |
| Share price | 55 |
| Number of shares | 1,800 |
| Interest expense | 7,920 |
| | Recession | | Normal | | Expansion |
| EBIT | 12,600 | | 21,000 | | 26,250 |
| Interest | 7,920 | | 7,920 | | 7,920 |
| Net income | 4,680 | | 13,080 | | 18,330 |
| Numer shares | 3,200 | | 3,200 | | 3,200 |
| EPS | 1.46 | | 4.09 | | 5.73 |
| | -64% | | | | 40% |
| | Recession | | Normal | | Expansion |
| EBIT | 12,600 | | 21,000 | | 26,250 |
| Interest | 0 | | 0 | | 0 |
| EBT | 12,600 | | 21,000 | | 26,250 |
| Tax expense | 4,410 | | 7,350 | | 9,188 |
| Net income | 8,190 | | 13,650 | | 17,063 |
| Numer shares | 5,000 | | 5,000 | | 5,000 |
| EPS | 1.64 | | 2.73 | | 3.41 |
| | -40% | | | | 25% |
| | Recession | | Normal | | Expansion |
| EBIT | 12,600 | | 21,000 | | 26,250 |
| Interest | 7,920 | 0 | 7,920 | 0 | 7,920 |
| EBT | 4,680 | | 13,080 | | 18,330 |
| Tax expense | 1,638 | | 4,578 | | 6,416 |
| Net income | 3,042 | | 8,502 | | 11,915 |
| Numer shares | 3,200 | | 3,200 | | 3,200 |
| EPS | 0.95 | | 2.66 | | 3.72 |
| | -64% | | | | 40% |
| Market to book value of 1 |
| ROE= Net income / Equity |
| | Recession | | Normal | | Expansion |
| EBIT | 12,600 | | 21,000 | | 26,250 |
| Interest | 0 | | 0 | | 0 |
| Net income | 12,600 | | 21,000 | | 26,250 |
| Numer shares | 5,000 | | 5,000 | | 5,000 |
| EPS | 2.52 | | 4.20 | | 5.25 |
| | -40% | | | | 25% |
| ROE | 4.58% | | 7.64% | | 9.55% |
| | -40% | | | | 25% |
| | Recession | | Normal | | Expansion |
| EBIT | 12,600 | | 21,000 | | 26,250 |
| Interest | 7,920 | | 7,920 | | 7,920 |
| Net income | 4,680 | | 13,080 | | 18,330 |
| Numer shares | 3,200 | | 3,200 | | 3,200 |
| EPS | 1.46 | | 4.09 | | 5.73 |
| | -64% | | | | 40% |
| ROE | 2.66% | | 7.43% | | 10.41% | | 55 |
| | -64% | | | | 40% | | 176,000 |
| | Recession | | Normal | | Expansion |
| EBIT | 12,600 | | 21,000 | | 26,250 |
| Interest | 0 | | 0 | | 0 |
| EBT | 12,600 | | 21,000 | | 26,250 |
| Tax expense | 4,410 | | 7,350 | | 9,188 |
| Net income | 8,190 | | 13,650 | | 17,063 |
| Numer shares | 5,000 | | 5,000 | | 5,000 |
| EPS | 1.64 | | 2.73 | | 3.41 |
| | -40% | | | | 25% |
| ROE | 2.98% | | 4.96% | | 6.20% |
| | -40% | | | | 25% |
| | Recession | | Normal | | Expansion |
| EBIT | 12,600 | | 21,000 | | 26,250 |
| Interest | 7,920 | 0 | 7,920 | 0 | 7,920 |
| EBT | 4,680 | | 13,080 | | 18,330 |
| Tax expense | 1,638 | | 4,578 | | 6,416 |
| Net income | 3,042 | | 8,502 | | 11,915 |
| Numer shares | 3,200 | | 3,200 | | 3,200 |
| EPS | 0.95 | | 2.66 | | 3.72 |
| | -64% | | | | 40% |
| ROE | 1.73% | | 4.83% | | 6.77% |
| | -64% | | | | 40% |
| 12 |
| Debt/equity ratio | 1.50 |
| WACC | 0.11 |
| CD | 0.07 |
| Ctax | 0.35 |
| | WACC= wd*cd*(1-tx)+we*ce | | | | =(0,6*0,07*(1-0,35))+(0,4*CE) |
| | D/E=1,5 | | E= D/1,5 |
| | WE= E/(E+D) | | WE= D/1,5 /(D/1,5+D) |
| WE | 0.400 |
| WD | 0.60 |
| | =(0,6*0,07*(1-0,35))+(0,4*CE) |
| | 0.027 | + | 0,4CE | = 0,11 |
| | -0.083 | =-0,4CE |
| | 0.208 | CE |
| | RS= R0+(Ro-Rb)*(B/S)*(1-tc) |
| | 0,208=R0+(R0-0,07)*1,5*(1-0,35) |
| | | | | +0,208 = | 0.975 | R0 | -0.068 | + R0 |
| | 0 | | | 0.276 | = 1,975R0 |
| | | | | R0= | 0.140 |
| | Debt equity ratio = 2 |
| | D/E=2 |
| | D=2E |
| | WE = E/(D+E) |
| WE | E | / | 3E | = | 0.333 |
| WD | | | | | 0.667 |
| | =(0,667*0,07*(1-0,35))+(0,333*CE) |
| | 0.030 | + | 0,333CE | = | 0.110 |
| | | | 0,333CE | = | 0.080 |
| | | | CE = | | 0.239 |
| | RS= R0+(Ro-Rb)*(B/S)*(1-tc) |
| 17 |
| EBIT | 57,000.00 |
| Debt | 90,000.00 |
| tx | 0.35 |
| Debt | 0.08 | shares |
| Lvered | 2,300,000.00 |
| price | 105.00 |
| Unlevered cost of capital | 0.15 |
| Value= | 247,000.00 |
| Value Levered= | VU+(tc*Debt) |
| | 278,500.00 |
| 18.00 |
| EBIT | 19,750.00 |
| CE | 0.15 |
| Perpetuity = Cash Flow/rate |
| | 85,583.33 |
| Borrow | 0.10 |
| Tax | 0.35 |
| Debt = 50% of unlevered value | | 42,791.67 |
| VL=VU+tax*debt | 100,560.42 |
| VL at 100%debt | 115,537.50 |
| 19.00 |
| Loan | 1,800,000.00 |
| Equal installments 2 years |
| interest | 0.08 |
| Tax | 0.35 |
| | years | Loan balance | Interest | Tax shield |
| | 0.00 | 1,800,000.00 |
| | 1.00 | 900,000.00 | 144,000.00 | 50,400.00 | 46,666.67 |
| | 2.00 | 0.00 | 72,000.00 | 25,200.00 | 21,604.94 |
| | | | | | 68,271.60 |
| 20.00 |
| 20.00 |
| Apha |
| number shares | 15,000.00 |
| Price | 30.00 |
| Beta |
| market value of debt | 365,000.00 |
| CD | 0.09 |
| EBIT | 75,000.00 | perpetuity |
| Value of alpha | 450,000.00 |
| Value of Beta | 450,000.00 | 65000+385000 |
| Cost to acquire 20% of equity |
| Value of alpha | 90,000.00 |
| Value of Beta | 77,000.00 |
| Dollar return alpha | 15,000.00 |
| Dollar return Beta | | 75,000.00 |
| | | 5,850.00 |
| | | 69,150.00 |
| | | 13,830.00 |
| Alpha | 500,000.00 | number of shares |
| | 1,000,000.00 | Value |
| | 2.00 | Price per share |
| New project | 100,000.00 |
| Debt | 500,000.00 |
| Equity | 500,000.00 |
| | 250,000.00 |