Raising Capital and Capital Structure
Choosing the Optimal Capital Structure
Specifically, it is a goal of financial managers to choose a capital structure that minimizes WACC, which will, in turn, maximize the value of the firm. Since our WACC is the basis for discounting used in finding the NPV of projects (or the hurdle rate with which IRR is compared), a lower WACC will increase the value of our conventional positive NPV projects, and cause some conventional projects that were originally rejected to cross the threshold into value-adding propositions.
Consider the following projections by financial managers at firm XYZ:
Table 15.1 Cost of Capital Projections
| % debt | cost of debt | after-tax cost of debt | % equity | cost of equity | WACC |
|---|---|---|---|---|---|
| 0% | 5.0% | 3.0% | 100% | 7.0% | 7.00% |
| 10% | 5.0% | 3.0% | 90% | 7.3% | 6.84% |
| 20% | 5.2% | 3.1% | 80% | 7.6% | 6.70% |
| 30% | 5.5% | 3.3% | 70% | 8.0% | 6.61% |
| 40% | 5.8% | 3.5% | 60% | 8.6% | 6.55% |
| 50% | 6.2% | 3.7% | 50% | 9.4% | 6.56% |
| 60% | 6.8% | 4.1% | 40% | 10.6% | 6.69% |
| 70% | 7.5% | 4.5% | 30% | 12.6% | 6.93% |
| 80% | 8.5% | 5.1% | 20% | 16.6% | 7.40% |
| 90% | 10.0% | 6.0% | 10% | 28.6% | 8.26% |
| 100% | 16.0% | 9.6% | 0% | 45.0% | 9.60% |
Assuming firm XYZ's tax rate to be 40% and given the projected costs of capital at each level of debt and equity, we can see that WACC is minimized at a 40%/60% debt/equity mix. Below this mix, we aren't utilizing enough of the cheaper debt. Above this level, the increased costs of both debt and equity cause WACC to increase as we add more debt to the mix.
In practice, we are rarely able to precisely know what the cost of capital will be for our company at specific levels of debt. We can create estimates based upon observed costs at other companies, but short of trying a new capital structure, it is impossible to know for certain what the precise WACC will be.
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