Financial Distress and Trade-Off Theory

Bankruptcy is expensive

MM-with-taxes (prior lesson) implied firms should be 100% debt. They aren’t, because debt comes with risk of financial distress.

Distress isn’t free. Two broad categories of cost:

Direct costs:

• Legal fees (Chapter 11 attorney bills, court-appointed examiners).
• Accounting and advisory fees (restructuring advisors, expert witnesses).
• Court costs.

For a large bankruptcy these can run to hundreds of millions. Lehman Brothers’ direct bankruptcy costs exceeded $1B.

But direct costs are dwarfed by:

Indirect costs:

• Lost customers. When a firm signals distress, customers worry about future warranty service, parts availability, ongoing software support. They switch to competitors. Sears, JCPenney, Bed Bath & Beyond all saw catastrophic revenue losses during their distress periods.
• Lost suppliers. Vendors demand cash up front instead of net-30 terms, tightening working capital exactly when the firm needs liquidity most.
• Lost employees. Talented people leave for stable competitors; recruiting becomes harder.
• Asset fire sales. Selling assets under distress conditions yields well below fair value. Forced sale of an airplane is much cheaper than an unforced one.
• Manager distraction. The CEO spends 60% of time negotiating with creditors instead of running the business.
• Debt overhang. New positive-NPV projects get rejected because any value created accrues to debt holders first; equity holders refuse to fund them.

Empirical estimates put indirect distress costs at 10-25% of firm value for firms entering Chapter 11. Even firms that survive “financial distress” without bankruptcy lose substantial value.

The trade-off theory

Combining MM-with-taxes (tax shield is positive) with distress costs (loss in distress, multiplied by probability of distress) gives:

$$V_L = V_U + PV(\text{tax shield}) - PV(\text{distress costs}).$$

The first two terms rise linearly with $D$. The third term is small at low leverage (low default probability) but rises convexly: as $D$ gets large, default becomes likely and the expected loss balloons.

The optimal capital structure $D^\*$ is where the marginal tax- shield benefit equals the marginal distress cost. That’s the trade-off theory.

Play with it

Unlevered cost of equity: 10.0%Risk-free debt rate: 5.00%Corporate tax rate: 21%Distress sensitivity α: 0.50

Optimal D/V ≈ 80%, min WACC ≈ 8.32%

With no taxes or distress (MM I), WACC is flat across leverage. Add a tax shield (raise tax rate) and WACC slopes down with D/V. Add distress costs (raise α) and WACC bends back up — the trade-off theory of capital structure.

Now slide both tax rate and distress sensitivity up together. The U-shape of the WACC curve becomes visible: a clear optimum in the middle, with rising WACC on either side.

How distress costs depend on the firm

The size of distress costs varies across firm types:

Firm type	Distress cost	Optimal leverage
Stable cash flow, tangible assets (utility, real estate)	Low	High (40-60%)
Cyclical, but tangible (airlines, steel)	Moderate	Medium (25-40%)
Knowledge-intensive, intangible-heavy (tech, pharma, advertising)	High	Low (0-15%)
Startups with no assets	Very high	Zero (equity only)

This explains a lot of observed leverage variation. Utilities lever to ~50%. Tech firms (Google, Microsoft, Apple) have huge cash positions and minimal debt despite high tax rates — distress costs for a knowledge firm are enormous because losing key engineers and customers permanently destroys IP value that has no replacement cost.

The debt-overhang problem

A pernicious indirect cost worth understanding. Suppose:

• A firm has $100M of existing debt.
• Asset value (existing operations) is $80M — so the firm is technically insolvent.
• A new positive-NPV project would require $20M new equity and produce $30M in PV.

The project creates $10M of value ($30M PV - $20M investment). Equity holders should fund it.

But: the $30M in new asset value flows to debt holders first (they’re owed $100M). Equity holders just put in $20M and get back only what’s left after debt: max(0, $80 + 30 - $100) = $10M. They’ve spent $20M to get $10M. Negative return on their investment. They refuse.

A positive-NPV project goes unfunded. Firm value is destroyed by the existence of the debt overhang. This is one of the main reasons highly-leveraged firms struggle to fund growth — and one reason equity holders sometimes vote for debt-for-equity swaps in restructurings.

Empirical leverage patterns explained

Three predictions of trade-off theory that hold up reasonably well:

1. Profitable firms with stable earnings should lever more. Higher tax benefit, lower default probability. (Largely confirmed.)
2. Asset-heavy firms with tangible collateral should lever more. Lower distress costs because assets can be sold at closer to book value. (Confirmed.)
3. High-growth firms with intangible assets should lever less. Distress costs are huge; tax shield is smaller because losses reduce taxable income to zero anyway. (Confirmed — Google, Apple, Microsoft.)

The most famous deviation from trade-off theory is the pecking-order theory (Myers, 1984): firms prefer internal financing > debt > equity, in that order, because of information asymmetry. Not because of taxes per se, but because issuing equity sends a negative signal. Both theories have empirical support; the truth is some blend.

What’s next

We’ve now covered capital structure. Next lesson turns to the other side of the financing decision: how to distribute cash to shareholders.