Solutions(chapter 10,11,12,15,17)
Build a Model
| Solution | 7/16/15 | ||||||
| Chapter: | 15 | ||||||
| Problem: | 13 | ||||||
| Reacher Technology has consulted with investment bankers and determined the interest rate it would pay for different capital structures, as shown below. Data for the risk-free rate, the market risk premium, an estimate of Reacher's unlevered beta, and the tax rate are also shown below. Based on this information, what is the firm's optimal capital structure and what is the weighted average cost of capital at the optimal structure? | |||||||
| Percent Financed with Debt (wd) | Before-tax Cost Debt (rd) | Input Data | |||||
| Risk-free rate | 4.5% | ||||||
| Market risk premium | 5.5% | ||||||
| Unlevered beta | 0.8 | ||||||
| 0% | 6.0% | Tax rate | 40.0% | ||||
| 10% | 6.1% | ||||||
| 20% | 7.0% | ||||||
| 30% | 8.0% | ||||||
| 40% | 10.0% | ||||||
| 50% | 12.5% | ||||||
| 60% | 15.5% | ||||||
| 70% | 18.0% | ||||||
| Fill in formulas in the yellow cells to find the optimum capital structure. | |||||||
| Debt/Value | Equity/Value | Debt/Equity | A-T Cost of | Levered | Cost of | ||
| Ratio (wd) | Ratio (ws) | Ratio (wd/ws) | Debt (rd) | Beta | Equity | WACC | |
| 0% | 1.0 | 0.00 | |||||
|
DII Labs: After tax cost of debt. | 10% | 0.9 | 0.11 | ||||
| 20% | 0.8 | 0.25 | |||||
| 30% | 0.7 | 0.43 | |||||
| 40% | 0.6 | 0.67 | |||||
| 50% | 0.5 | 1.00 | |||||
| 60% | 0.4 | 1.50 | |||||
| 70% | 0.3 | 2.33 | |||||
| WACC at optimum debt ratio = | |||||||
| Optimum debt ratio = | |||||||
&P of &N