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5. Numerical Illustration of Arbitrage
Let’s take a simple numerical example to make this clearer:
• Firm A (Unlevered): Earnings before interest and taxes (EBIT) = ₹1,00,000 Shares
outstanding = 10,000 Value of Firm A = ₹10,00,000 (all equity)
• Firm B (Levered): EBIT = ₹1,00,000 Debt = ₹5,00,000 at 10% interest = ₹50,000
Equity = ₹5,00,000 Value of Firm B = ₹10,00,000 (debt + equity)
Now, suppose the market incorrectly values Firm B at ₹11,00,000 because of its debt.
• An investor sells shares of Firm B and buys shares of Firm A.
• To replicate Firm B’s leverage, the investor borrows personally and invests in Firm A.
• The returns from this “homemade leverage” match Firm B’s returns.
Since investors can achieve the same outcome themselves, Firm B’s higher valuation cannot
be sustained. Arbitrage will push its value back to ₹10,00,000, equal to Firm A.
6. Significance of the Arbitrage Process
The arbitrage process demonstrates why capital structure does not affect firm value under
MM’s assumptions:
• Investors can adjust their personal portfolios to mimic any capital structure.
• Market forces eliminate any differences in valuation between levered and unlevered
firms.
• The firm’s value depends only on its assets and earnings, not on financing choices.
7. Real-World Relevance
Although the MM approach is based on unrealistic assumptions, it provides important
insights:
• It highlights that financing decisions alone cannot create value unless market
imperfections exist.
• It shows why tax benefits of debt and costs of financial distress are crucial in
practice.
• It forms the foundation for later theories, such as the trade-off theory (balancing tax
benefits of debt against bankruptcy costs) and the pecking order theory (firms
prefer internal financing, then debt, and issue equity last).
Conclusion
The MM approach to capital structure is a cornerstone of modern finance. It argues that
under perfect market conditions, capital structure is irrelevant to firm value. The arbitrage
process explains how investors can replicate leverage themselves, ensuring that firms
cannot gain value simply by changing their debt-equity mix.