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Microlesson · 5-min read

Net Operating Income (NOI) Approach

## 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

ApproachEffect of Leverage on K_oEffect on Firm Value
Net Income (NI)DecreasesIncreases
Net Operating Income (NOI)ConstantConstant
TraditionalU-shaped (decreases then increases)Has optimum
MM (without tax)ConstantConstant (same as NOI)
MM (with tax)DecreasesIncreases with debt

Worked example

### Example 1

Q (May 12 — 4 Marks): What is Net Operating Income (NOI) theory of capital structure? Explain the assumptions of NOI approach.

A: NOI theory states that the value of the firm is independent of its capital structure — there is no relationship between cost of capital and capital structure. Assumptions: (i) Split between debt and equity is irrelevant; (ii) K_o is constant (depends only on business risk); (iii) K_d is constant; (iv) Increase in debt raises K_e because equity holders demand compensation for higher financial risk; (v) No corporate taxes. Value of firm V = NOI / K_o.

### Example 2

Illustration: NOI = ₹2,00,000; K_o = 10%; Debt = ₹5,00,000 @ 6%.

V = 2,00,000 / 0.10 = ₹20,00,000

E = V − D = 20,00,000 − 5,00,000 = ₹15,00,000

Interest = 5,00,000 × 6% = ₹30,000

K_e = (2,00,000 − 30,000) / 15,00,000 = 11.33%

If debt increases to ₹10,00,000: V is still ₹20,00,000; E = ₹10,00,000; Interest = ₹60,000; K_e = (2,00,000 − 60,000)/10,00,000 = 14%. Note K_o remains 10% — only K_e changes.

⚠️ Common exam mistakes

  • Stating that K_e is constant under NOI — actually K_e RISES with leverage; what is constant is K_o.
  • Forgetting the 'no corporate taxes' assumption — this is essential.
  • Confusing NOI approach with Net Income (NI) approach — they have OPPOSITE conclusions on whether capital structure matters.
  • Computing value of equity by adding instead of subtracting debt (E = V − D, not V + D).
Reference:
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