## Net Operating Income (NOI) Approach to Capital Structure
### Core Proposition
According to the NOI approach, there is no relationship between the cost of capital and the value of the firm — i.e., the value of the firm is independent of its capital structure.
```
Value of Firm = f(NOI, Ko) — independent of Debt/Equity mix
```
### Key Implications
1. The overall cost of capital (K_o) remains constant for all degrees of leverage.
2. As debt increases:
- Cost of equity (K_e) rises to offset the benefit of cheaper debt.
- The rise in K_e exactly neutralises the cost saving from using more (cheaper) debt.
3. Therefore, WACC (K_o) does not change with capital structure.
4. The value of the firm depends only on its Net Operating Income (NOI) and its business risk — not on how it is financed.
### Assumptions of NOI Approach
1. Split of total capitalisation between debt and equity is irrelevant — investors look at the firm as a whole.
2. The overall capitalisation rate (K_o) is constant for all levels of leverage. K_o depends only on business risk.
3. The cost of debt (K_d) is constant for all levels of leverage.
4. Use of more debt increases the financial risk to equity shareholders → they demand a higher rate of return (K_e rises).
5. There are no corporate taxes.
### Valuation Formula
$$
V = \frac{NOI\ (or\ EBIT)}{K_o}
$$
Value of Equity (E) = V − D (where D = market value of debt)
$$
K_e = \frac{NOI - Interest}{E}
$$
### Comparison with Other Theories
| Approach | Effect of Leverage on K_o | Effect on Firm Value |
|---|---|---|
| Net Income (NI) | Decreases | Increases |
| Net Operating Income (NOI) | Constant | Constant |
| Traditional | U-shaped (decreases then increases) | Has optimum |
| MM (without tax) | Constant | Constant (same as NOI) |
| MM (with tax) | Decreases | Increases with debt |