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Every business needs money to run — the question is how you raise it. Do you borrow (debt) or bring in owners (equity)? The mix you choose is your capital structure, and the mix that gives you the lowest cost and highest firm value is called the optimum capital structure.

Here's the intuition: debt is cheaper than equity because (a) lenders take less risk than owners, and (b) interest is tax-deductible — the government effectively subsidises your borrowing. So as you add debt, your Weighted Average Cost of Capital (WACC) falls, and firm value rises. But — and this is the critical 'but' — too much debt increases financial risk (risk of default, bankruptcy costs). Beyond a point, shareholders demand a higher return to compensate, equity cost shoots up, and WACC starts rising again. The sweet spot where WACC is lowest and firm value is highest is the optimum capital structure.

The ICAI curriculum tests you on four theories. The Net Income (NI) Approach (Durand) says capital structure does matter — more debt always lowers WACC and raises value (assumes Ke and Kd stay constant). The Net Operating Income (NOI) Approach says it doesn't matter — any gain from cheap debt is exactly offset by rising equity cost, so WACC stays flat. The Traditional Approach is the middle ground: moderate debt is beneficial, but beyond an optimal point WACC rises — this is the most practical view and the one closest to real life. Finally, the Modigliani-Miller (MM) Hypothesis argues (without taxes) that capital structure is irrelevant, but with corporate taxes, debt creates a tax shield (= Tax Rate × Debt), adding value. For exams, know MM with and without taxes separately.

The key formula you must be comfortable with: WACC = (Ke × E/V) + (Kd(1-t) × D/V), where V = D + E. Optimum structure = the D/E ratio where this WACC is minimised. This is asked frequently as a 5–8 mark question in the FM paper, often combined with an EBIT-EPS analysis to find the indifference point between two financing plans.

📊 Worked example

Example 1 — Finding Optimum Capital Structure via WACC

Rajesh & Co. Pvt. Ltd. is evaluating three capital structures. Total capital = ₹20,00,000. Tax rate = 30%.

| Plan | Debt (₹) | Equity (₹) | Kd (%) | Ke (%) |

|------|-----------|------------|--------|--------|

| A | 0 | 20,00,000 | — | 12% |

| B | 8,00,000 | 12,00,000 | 10% | 13% |

| C | 14,00,000 | 6,00,000 | 11% | 16% |

Working:

WACC = [Kd(1−t) × D/V] + [Ke × E/V]

Plan A: WACC = 0 + (12% × 20/20) = 12.00%

Plan B: WACC = [10%(1−0.30) × 8/20] + [13% × 12/20]

= [7% × 0.40] + [13% × 0.60]

= 2.80% + 7.80% = 10.60%

Plan C: WACC = [11%(0.70) × 14/20] + [16% × 6/20]

= [7.70% × 0.70] + [16% × 0.30]

= 5.39% + 4.80% = 10.19%

Firm Value = EBIT(1−t) / WACC. Assume EBIT = ₹3,00,000.

  • Plan A: ₹2,10,000 / 0.12 = ₹17,50,000
  • Plan B: ₹2,10,000 / 0.106 = ₹19,81,132
  • Plan C: ₹2,10,000 / 0.1019 = ₹20,60,843 ← Highest value, lowest WACC

Answer: Plan C is the optimum capital structure as it minimises WACC (10.19%) and maximises firm value (₹20,60,843).

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Example 2 — EBIT-EPS Indifference Point

Ms. Iyer's startup needs ₹10,00,000. Plan I: 100% equity at ₹10/share. Plan II: ₹5,00,000 equity + ₹5,00,000 debt at 12% interest. Tax = 40%. Find the indifference EBIT.

At indifference: EPS₁ = EPS₂

  • Shares in Plan I = 10,00,000/10 = 1,00,000 shares
  • Shares in Plan II = 5,00,000/10 = 50,000 shares
  • Interest in Plan II = 5,00,000 × 12% = ₹60,000

Let indifference EBIT = X

[X(1−0.40)] / 1,00,000 = [(X − 60,000)(1−0.40)] / 50,000

0.6X / 1,00,000 = 0.6(X − 60,000) / 50,000

0.6X × 50,000 = 0.6(X − 60,000) × 1,00,000

30,000X = 60,000X − 36,00,00,000

30,000X = 36,00,00,000

X = ₹1,20,000

Answer: At EBIT above ₹1,20,000, Plan II (with debt) gives higher EPS — financial leverage works in favour of shareholders.

⚠️ Common exam mistakes

  • Forgetting the tax shield on Kd: Many students use Kd directly instead of Kd(1−t) in WACC. Always apply the after-tax cost of debt — interest saves tax, so the real cost is lower.
  • Confusing firm value with equity value: Firm Value = EBIT(1−t)/WACC (total), but Equity Value = Firm Value − Debt. Don't report firm value as the answer when the question asks for equity value or share price.
  • Mixing up NI and NOI approaches in theory questions: NI says WACC falls continuously with more debt; NOI says WACC stays constant. Students often reverse these. Anchor them: NI = more debt, more value; NOI = irrelevant.
  • Wrong share count in EBIT-EPS problems: When part of the funding is debt, only the equity portion is divided by share price to get number of shares. A common error is dividing total capital by share price.
  • **Ignoring that MM with taxes supports debt**: Students remember 'MM says capital structure is irrelevant' but forget this holds only without taxes. With corporate tax, MM says firm value increases with debt (value of levered firm = unlevered firm + tax shield). The examiner will ask which version you mean.
📖 Reference: Optimum CS — Institute of Chartered Accountants of India
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