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L.3 · ADVANCED · 3 MIN

How Leverage Changes Everything: The Modigliani-Miller Framework

Modigliani and Miller proved that in a perfect world (no taxes, no bankruptcy costs), capital structure doesn’t affect firm value — it just slices the pie differently between debt and equity holders. In the real world, taxes and distress costs create an optimal range.

Quiz · 5 questions ↓
§ 01
M&M PropositionPerfect WorldReal World
I: ValueUnaffected by capital structureDebt creates a tax shield that increases value
II: Cost of equityRises linearly with leverageRises with leverage but tax shield partially offsets
Optimal structureDoesn’t exist (irrelevance)Exists where tax benefit = marginal distress cost
§ 02
Value of Levered Firm = Value Unlevered + PV(Tax Shield) − PV(Distress Costs)
§ 03

The tax shield is the reason debt lowers WACC up to a point. Beyond that point, rising distress costs and higher cost of equity from increased risk offset the tax benefit.

§ 04
Compare two companies in the same industry with different leverage levels in **Fundamentals**. Does the more leveraged company have a higher cost of equity? It should, per M&M Proposition II.
§ 05
If M&M Proposition I held perfectly, should you care about a company’s debt/equity mix?
§ 06

M&M’s genius was showing that capital structure is about tradeoffs, not free lunches. Debt creates a tax shield but adds distress risk. The optimal structure balances these forces — and varies by industry, stability, and market conditions.

§ 07
Under Modigliani-Miller (no taxes, no distress costs), what happens to firm value when you add debt?
§ 08

Going Deeper — the three frictions that break Modigliani-Miller in practice. M&M Proposition I says capital structure is irrelevant in a world with no taxes, no bankruptcy costs, and no agency costs. The real world has all three. (1) Taxes: interest is deductible, creating a tax shield that scales with leverage and pulls the optimal structure toward more debt. (2) Bankruptcy and distress costs: at high leverage, the probability of distress and the deadweight cost of distress (lost customers, lost suppliers, fire-sale asset values) creates an offsetting drag. (3) Agency costs: high leverage can constrain value-destroying empire-building, but can also force underinvestment in maintenance and R&D. The trade-off theory says the optimum is where the marginal tax shield equals the marginal expected distress cost. AI prompt: "For this ticker, estimate the trade-off-theory optimal leverage given its tax rate, asset volatility, and industry distress costs. Compare to current debt-to-equity. Is management under-levered, over-levered, or about right?"

Five questions · AI feedback

Sit with the ideas.

Company X (all-equity, cost of equity 10%) is considering levering up to 30% debt at a 5% pre-tax cost of debt (tax rate 25%). Assuming the cost of equity rises to 11.5% due to the added financial risk, what happens to WACC?

Why:
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