Capital Structure Theories and Financial Risk Analysis

Capital Structure Review and Theories

Understanding the implications of various capital structure theories is crucial for corporate finance decisions.

Modigliani-Miller (M&M) Propositions

• Case I: Value of Levered Firm (VL) = Value of Unlevered Firm (VU)
  • Assumes a perfect world: no taxes, no bankruptcy costs, perfect information symmetry, competition, and no transaction costs.
  • Capital structure is irrelevant to firm value.
  • The cost of capital remains constant.
    • Adding cheaper debt increases equity risk (higher required return on equity).
    • This increase in equity cost perfectly offsets the benefit of cheaper debt, keeping the Weighted Average Cost of Capital (WACC) the same.
• Case II: VL = VU + Present Value of Tax Shield (DT)
  • Includes corporate tax, but assumes no bankruptcy costs.
  • Interest payments are tax-deductible, creating a tax shield that increases firm value.
  • Optimal structure suggests 100% debt financing.
  • WACC decreases as debt increases.
  • Cost of equity increases with leverage: Equity becomes riskier due to higher debt obligations.
    • The increase in equity risk is offset by the lower after-tax cost of debt.

Trade-Off Theory

A firm borrows up to the point where the tax benefit from an extra dollar of debt is exactly equal to the cost arising from the increased probability of financial distress.

• The value of a levered firm is: $V_L = V_U + DT - PV( ext{financial distress cost})$.
  • $DT$ = Present Value of the interest tax shield, where $D$ is the Market Value of debt and $T$ is the corporate tax rate.
  • $PV$ = Expected bankruptcy or financial distress costs.
• This theory balances the tax benefits of debt against its associated costs.
• The optimal point is reached when the marginal tax shield equals the marginal expected bankruptcy cost.
• Debt should be used where the tax shield is balanced by the cost of financial distress.

Pecking Order Theory

Managers prefer to fund investments by first using retained earnings, then debt, and finally issuing new equity as a last resort.

• This theory is driven by asymmetric information between managers and investors.
• Issuing new equity is often interpreted by the market as the stock being overvalued.

Market Timing Theory

Firms issue equity when the market value of their stock is overvalued and issue debt or buy back stock when it is undervalued.

• Financing choices are made to maximize value based on current market conditions.
• Capital structure may reflect past market timing rather than an optimal debt-equity ratio.

Signaling Theory

Financing structure choices signal information to the market.

• Firms with high quality may take on more debt, signaling confidence in Free Cash Flows (FCF).
• Debt issuance can be interpreted as a positive signal regarding firm value.

Financial Risk Versus Business Risk

• Business Risk:
  • Arises from company operations and revenue uncertainty.
  • Affects the ability to cover operating expenses.
  • Result of internal and external factors, such as competition, product liability, and operating leverage (higher fixed costs mean higher business risk).
• Financial Risk:
  • The extra risk imposed on shareholders due to the use of debt financing.
  • Involves the obligation to make required interest and principal payments.
  • Higher debt leads to higher financial risk, increasing pressure on profits.

Relationship Between Return on Equity (ROE) and Leverage

With leverage, ROE is generally higher during economic expansion but lower during economic recession.

Equity Risk and Debt

Adding debt increases the risk borne by equity holders.

Hamada Equation and Applications

The Hamada Equation attempts to quantify the increase in the cost of equity due to financial leverage.

• Hamada Equation: $eta_L = eta_U(1 + (1-T) imes rac{Debt}{Equity})$
  • $rac{Debt}{Equity}$ represents the firm's Market Value ratio of Debt to Equity.
  • $eta_U$ = Unlevered beta (reflects business risk only).
  • $eta_L$ = Levered beta (reflects both business and financial risk).
  • $T$ = Corporate tax rate.
• This equation helps estimate the change in equity risk resulting from changes in financial leverage.

Calculations Proficiency

It is essential to be able to calculate the following:

• Firm Value ($V$) = Present Value of all future Cash Flows (CFs)
  • $V = rac{FCF}{WACC}$
• Equity Value = Firm Value - Debt
• WACC

• Earnings Per Share (EPS) = Net Income / Number of shares outstanding
  • 
• Levered Beta for a firm with different debt percentages
  • Hamada Equation: $eta_L = eta_U(1 + (1-T) imes rac{Debt}{Equity})$