Capital Structure: Theory, Models, Trade-offs & Real-World Impact

TAKEAWAYS:

• Capital structure is the mix of debt and equity that minimizes a firm’s cost of capital while balancing risk and returns.
• Modigliani-Miller (MM) Theory (with/without taxes) proves that in perfect markets, capital structure is irrelevant—but real-world taxes and bankruptcy costs make it critical.
• The trade-off theory balances tax benefits of debt against bankruptcy costs to find an optimal capital structure.
• Debt capacity depends on profitability, asset tangibility, and industry norms (e.g., banks use more debt than retail shops).
• Real-world examples: Ncell’s high debt for expansion, Daraz’s equity infusion for growth, and NEPSE-listed firms’ leverage ratios.
• Exam focus: Calculate WACC, leverage effects, and compare capital structures using numerical examples (e.g., a Kathmandu restaurant’s debt-equity mix).

1. Definitions and Core Concepts

Capital structure refers to the proportion of debt and equity used to finance a firm’s operations and growth. It answers:

• How much should a business borrow (debt) vs. issue shares (equity)?
• What is the optimal mix that maximizes shareholder value?

Key Terms

2. Modigliani-Miller (MM) Theory: The Irrelevance Proposition

MM Theory (1958/1963) argues that in perfect capital markets, a firm’s capital structure does not affect its value or cost of capital. Two key propositions:

Proposition I (No Taxes)

• Value of the firm (V) is independent of capital structure. $V_L=V_U$ (Levered = Unlevered firm value).
• Cost of equity ($Re$) increases with debt because equity becomes riskier. $Re=R_0+(D/E)\times (R_0-Rd)$, where $R_0$ = unlevered cost of equity.

Proposition II (With Corporate Taxes)

• Debt reduces WACC because interest is tax-deductible. $V_L=V_U+T\times D$, where $T$ = tax rate.
• Optimal capital structure: 100% debt (theoretical extreme).

Why MM is "Irrelevant" in Reality:

• Assumes no taxes, no bankruptcy costs, perfect information, and no agency costs.
• Real-world distortions: Taxes favor debt, but bankruptcy and agency costs favor equity.

3. Trade-Off Theory: The Practical View

In reality, firms balance:

1. Tax Benefits of Debt: Interest is tax-deductible, reducing WACC.
2. Bankruptcy Costs: Excess debt increases risk of default (legal/operational costs).
3. Agency Costs: Debt reduces agency problems (managers work harder to avoid bankruptcy).

Optimal Capital Structure

Firms target a debt-equity ratio where:

• Marginal benefit of debt (tax savings) = Marginal cost (bankruptcy + agency costs).
• Example: Ncell (Nepal Telecom) uses ~60% debt for tax shields but avoids excessive risk.

Mermaid Diagram: Trade-Off Theory Balance

pie
    title Optimal Capital Structure Factors
    "Tax Benefits of Debt" : 40
    "Bankruptcy Costs" : 35
    "Agency Costs" : 25

4. Pecking Order Theory (Alternative View)

Proposed by Myers (1984), this theory states firms prefer:

1. Internal funds (retained earnings) first.
2. Debt second (if profitable).
3. Equity last (costly due to information asymmetry).

Why?

• Issuing equity signals poor future prospects (e.g., Daraz raising equity after growth slowdown).
• Debt is cheaper than equity if the firm is profitable.

Comparison Table: MM vs. Trade-Off vs. Pecking Order

5. Determinants of Capital Structure

Firms’ debt levels depend on:

flowchart TD
    A["Identify Transactions"] --> B["Journalize"]
    B --> C["Post to Ledger"]
    C --> D["Prepare Trial Balance"]
    D --> E["Adjusting Entries"]
    E --> F["Adjusted Trial Balance"]
    F --> G["Financial Statements"]
    G --> H["Close Books"]
    H --> I["Post‑Closing Trial Balance"]
    I --> J["Start New Accounting Cycle"]

A. Industry Factors

B. Firm-Specific Factors

1. Profitability: High-profit firms (e.g., Ncell) use more debt.
2. Tangible Assets: Collateralizable assets (e.g., real estate) enable more debt.
3. Growth Opportunities: High-growth firms (e.g., Daraz) prefer equity.
4. Size: Larger firms (e.g., NMB Bank) have easier access to debt.

6. Worked Example: Capital Structure for a Kathmandu Restaurant

Scenario: Thapathali Café has:

• Equity (E): Rs. 5,000,000 (100,000 shares at Rs. 50/share).
• Current Debt (D): Rs. 3,000,000 (7% interest, tax rate = 25%).
• Unlevered Cost of Equity ($R_0$): 12%.
• Bankruptcy Cost: Estimated at 10% of debt if leveraged beyond 60%.

Step 1: Calculate WACC Under Current Structure

Using MM with taxes: $$WACC=\left(\frac{E}{V}\times Re\right)+\left(\frac{D}{V}\times Rd\times (1-T)\right)$$ Where:

• $V=E+D=5M+3M=8M$.
• $Re=R_0+(D/E)\times (R_0-Rd)=12\%+(3/5)\times (12\%-7\%)=13.8\%$.

$$WACC=\left(\frac{5M}{8M}\times 13.8\%\right)+\left(\frac{3M}{8M}\times 7\%\times 0.75\right)=10.5\%+2.1\%=12.6\%$$

Step 2: Evaluate Adding Rs. 2M Debt (New D = Rs. 5M)

• New $Re=12\%+(5/5)\times (12\%-7\%)=15\%$.
• New WACC: $$WACC=\left(\frac{5M}{10M}\times 15\%\right)+\left(\frac{5M}{10M}\times 7\%\times 0.75\right)=7.5\%+1.75\%=9.25\%$$ But: Bankruptcy risk increases. If bankruptcy cost = 10% of Rs. 5M = Rs. 500,000, net benefit is: $$\text{Tax Shield}=5M\times 7\%\times 25\%=Rs.875,000$$ $$\text{Net Benefit}=875K-500K=Rs.375K(\text{Positive, but risky})$$

Optimal Decision:

• Current structure (60% debt) is safer.
• Trade-off: Higher WACC reduction vs. bankruptcy risk.

7. Real-World Applications in Nepal

Example 1: Ncell’s High Leverage

• Debt-Equity Ratio: ~60% (higher than retail firms).
• Why?
  • Telecom assets (towers) are tangible and easy to collateralize.
  • Tax benefits from interest payments outweigh bankruptcy risk.
• Impact: Lower WACC, but higher financial risk during economic downturns.

Example 2: Daraz’s Equity-Driven Growth

• Debt-Equity Ratio: ~20% (lower than peers).
• Why?
  • High growth phase; equity infusion from Alibaba reduces agency costs.
  • Avoids debt servicing pressure during scaling.
• Impact: Higher flexibility but higher cost of capital.

Example 3: NMB Bank’s Conservative Leverage

• Debt-Equity Ratio: ~80% (but mostly interbank loans).
• Why?
  • Banks use debt to fund loans (asset transformation).
  • Regulatory capital requirements limit excessive leverage.
• Impact: Stable but vulnerable to liquidity crises (e.g., 2023 NPL surge).

Mermaid Diagram: Capital Structure of Nepali Firms

classDiagram
    class Ncell {
        +Debt: 60%
        +Equity: 40%
        +Use: Tangible assets as collateral
    }
    class Daraz {
        +Debt: 20%
        +Equity: 80%
        +Use: Growth funding, avoid debt risk
    }
    class NMB_Bank {
        +Debt: 80% (interbank)
        +Equity: 20%
        +Use: Asset-liability management
    }
    Ncell --> "High Leverage" TradeOffTheory
    Daraz --> "Pecking Order" PeckingOrder
    NMB_Bank --> "Regulatory Constraints" TradeOffTheory

8. Advantages and Disadvantages of Debt vs. Equity

When to Use Each?

• Debt: Stable cash flows (e.g., NTC, Ncell).
• Equity: High growth, R&D-intensive firms (e.g., Daraz, F1Soft).

9. Exam Tip: How to Score Full Marks

1. Define Key Terms Clearly:
   • Always start with definitions (e.g., "Capital structure is the mix of debt and equity...").
2. Use MM Theory as a Framework:
   • Compare levered vs. unlevered firm value with/without taxes.
   • Show calculations for $Re$ and WACC.
3. Apply Trade-Off Theory:
   • Discuss tax benefits vs. bankruptcy costs with real examples (e.g., Ncell’s debt).
4. Numerical Problems:
   • Always show steps for WACC, $Re$, and optimal debt levels.
   • Use Nepali rupees (NPR) and Nepali firms (e.g., Thapathali Café, NMB Bank).
5. Compare Theories:
   • Contrast MM (irrelevance), Trade-Off, and Pecking Order in a table.
6. Visuals:
   • Draw t-accounts for debt/equity transactions.
   • Plot WACC vs. Debt Ratio graphs.
   • Use Mermaid diagrams for capital structure determinants.

Common Mistakes to Avoid:

• Ignoring taxes in MM calculations.
• Forgetting to adjust for tax shields in WACC.
• Not linking theory to Nepali business examples.

In the real world

• Ncell leverages a ~60 % debt ratio to capture tax shields while monitoring bankruptcy risk – an illustration of the Trade‑Off Theory.
• Daraz raised a large equity round in 2023 to fund expansion, avoiding the signaling cost of issuing debt – a real‑world case of the Pecking Order Theory.
• NMB Bank maintains a high debt‑to‑equity ratio (≈70 %) because its asset base is highly tangible, reflecting the Determinants of Capital Structure (asset tangibility and industry norms).