Unit 8: Financing Decisions - Subjective Questions

Capital structure refers to the proportionate combination of long-term sources of finance used by a firm, principally equity share capital, preference share capital, retained earnings, and long-term debt.

Major components:

• Equity capital: Permanent owners' funds carrying variable returns and voting rights.
• Preference capital: Capital carrying a preferential and usually fixed dividend.
• Retained earnings: Profits reinvested in the business rather than distributed.
• Debt capital: Borrowed funds carrying a contractual interest obligation.

Significance:

• It influences the firm's overall cost of capital.
• It affects financial risk, earnings per share, and shareholder returns.
• Debt can provide a tax advantage because interest is generally tax-deductible.
• Excessive debt increases the probability of financial distress and bankruptcy.
• An appropriate capital structure seeks to maximize firm value while maintaining financial flexibility.

Capital structure affects firm value through its possible influence on the weighted average cost of capital, or WACC.

The value of the firm can be expressed as:

where is the total value of the firm, is operating income, and is the overall capitalization rate.

The WACC is approximately:

where is the cost of debt, is the cost of equity, is the corporate tax rate, is debt, and is equity.

• If financing decisions reduce , the present value of operating income rises and the firm's value increases.
• Moderate debt may lower WACC because debt is usually cheaper and provides a tax shield.
• Excessive debt raises financial risk, causing investors and lenders to demand higher returns.
• The optimal structure, where one exists, is the debt-equity combination that minimizes WACC and maximizes firm value.

The Net Income Approach, associated with David Durand, argues that capital structure is relevant and that increasing debt can raise the value of a firm.

Assumptions:

• The cost of debt, , is lower than the cost of equity, .
• Both and remain constant as leverage changes.
• There are no corporate taxes, or taxes are initially ignored.
• Debt and equity can be substituted without changing operating income.
• Investors perceive no material increase in financial risk as debt rises.

Because inexpensive debt replaces expensive equity, WACC falls:

A lower increases firm value:

Thus, under this approach, greater leverage continuously increases total firm value and reduces WACC. Its extreme implication is that a firm should use as much debt as possible, although this is unrealistic because the approach ignores the eventual increase in financial risk and distress costs.

Under the Net Income Approach, the market value of equity is obtained by capitalizing earnings available to equity shareholders.

Let:

• = earnings before interest and tax
• = annual interest
• = cost of equity
• = cost of debt
• = market value of equity
• = market value of debt

Earnings available to equity are:

Therefore, the value of equity is:

If debt is perpetual and its interest cost is , its value is:

The total value of the firm is:

The overall cost of capital is:

Alternatively:

Since and both rates are assumed constant, replacing equity with debt lowers and raises . Hence, the model concludes that leverage has a favorable and continuous effect on firm value.

The Net Operating Income Approach, also associated with David Durand, states that capital structure is irrelevant to the total value of the firm.

Main propositions:

• The overall cost of capital, , remains constant at every level of leverage.
• The total value of the firm is determined by operating income and business risk:

• The market value of equity is the residual value:

• As debt increases, equity shareholders face greater financial risk and demand a higher return.
• The increase in exactly offsets the benefit of using cheaper debt.

The cost of equity is:

Consequently, leverage changes the distribution of income and risk between lenders and shareholders but does not change WACC or total firm value. Therefore, no unique optimal capital structure exists under this approach.

Key differences:

Under the Net Income Approach, cheaper debt replaces expensive equity and raises firm value. Under the Net Operating Income Approach, the resulting increase in equity cost exactly offsets the advantage of debt. Thus, the approaches reach opposite conclusions regarding the effect of financing mix on valuation.

The Traditional Approach argues that capital structure is relevant, but the benefits of debt exist only up to a reasonable level of leverage.

It identifies three broad stages:

• Stage I—Increasing value: At low leverage, debt is cheaper than equity. remains nearly constant, rises slowly, WACC falls, and firm value rises.
• Stage II—Optimal range: The benefits of additional debt are approximately offset by the rise in required returns. WACC reaches its minimum and firm value reaches its maximum.
• Stage III—Declining value: Beyond the optimum, financial risk becomes substantial. Both and possibly rise sharply, increasing WACC and reducing firm value.

It is a compromise because it accepts the Net Income view at moderate leverage, where debt can improve value, but also recognizes the Net Operating Income argument that increased financial risk raises the cost of equity. Unlike either extreme approach, it predicts an interior optimal capital structure.

Under the Traditional Approach, the optimal capital structure is the debt-equity combination at which the firm's WACC is at its minimum and total market value is at its maximum.

The decision can be evaluated through:

and, for a perpetuity:

Identification process:

1. Estimate and at several debt ratios.
2. Calculate after-tax WACC for each financing combination.
3. Estimate the corresponding firm value.
4. Identify the range in which WACC is lowest and value is highest.
5. Assess whether the resulting debt level preserves solvency, ratings, covenant compliance, and access to future finance.

The mathematical minimum WACC is not automatically the practical optimum. Management should select a prudent target range because costs and business conditions cannot be estimated with perfect precision.

The Modigliani–Miller model without taxes establishes capital-structure irrelevance under a perfect capital market.

Principal assumptions:

• Capital markets are perfect, with no transaction or flotation costs.
• There are no corporate or personal taxes.
• Investors and firms can borrow or lend at the same rate.
• Securities are infinitely divisible and investors behave rationally.
• Information is freely and equally available to all market participants.
• Firms can be grouped into homogeneous risk classes.
• Expected operating income is unaffected by financing choices.
• Debt is generally treated as perpetual and free from default risk.
• Investment policy is fixed and independent of financing policy.

Under these assumptions, investors can reproduce or reverse corporate leverage through homemade leverage. Therefore, two firms with identical assets and operating income cannot differ in value merely because they use different financing mixes.

Proposition I without taxes states that the market value of a firm is independent of its capital structure:

where is the value of a levered firm and is the value of an otherwise identical unlevered firm.

Suppose . An investor owning a fraction of the levered firm's equity can:

• Sell the equity investment worth .
• Borrow personally an amount .
• Invest in the unlevered firm.

The personal borrowing reproduces the financial risk of the levered investment. Because:

the investor can obtain an equivalent income stream at a lower net investment if . Investors will sell shares in the overvalued levered firm and buy shares in the unlevered firm. This arbitrage lowers and raises until equality is restored.

The reverse process occurs if . Hence, in equilibrium, financing alone cannot create value in a perfect, tax-free market.

Without taxes, Proposition I gives a constant overall cost of capital:

Multiplying by gives:

Rearranging for :

Therefore:

Interpretation:

• The cost of equity rises linearly with the debt-equity ratio.
• Debt may be cheaper than equity, but it increases the volatility and financial risk of equity returns.
• The increase in exactly offsets the use of lower-cost debt.
• Consequently, WACC remains constant and firm value does not change.

Thus, leverage does not make capital cheaper in a perfect, tax-free market; it only reallocates operating risk between debt holders and shareholders.

When corporate taxes are introduced, interest expense creates a tax shield because it is deductible before taxable profit is calculated.

Annual interest is:

The annual tax shield is therefore:

If debt is permanent and the tax shield has the same risk as debt, its present value is:

Accordingly, the value of a levered firm is:

The corresponding cost of equity is:

where is the cost of capital of an unlevered firm.

The after-tax WACC generally declines as debt increases because debt provides a tax advantage. In the basic MM model with taxes and no distress costs, the theoretical implication is nearly complete debt financing. In practice, this extreme conclusion is moderated by bankruptcy costs, agency problems, borrowing constraints, and the possible loss of financial flexibility.

Comparison:

Without taxes, cheaper debt is exactly offset by the rising cost of equity. With corporate taxes, debt creates an additional cash flow through interest deductibility, so a levered firm is worth more by the present value of its tax shields.

However, the maximum-debt conclusion relies on restrictive assumptions. Once financial distress, agency costs, uncertain tax shields, and market imperfections are recognized, an interior optimal debt ratio may emerge.

Homemade leverage is the borrowing or lending undertaken personally by investors to adjust the financial risk of their portfolios independently of a firm's financing decision.

• If an investor wants more leverage than the firm provides, the investor can borrow personally and purchase additional shares.
• If the firm is more levered than desired, the investor can combine its shares with lending or investment in risk-free assets to reduce effective exposure.
• Under MM assumptions, personal and corporate borrowing occur on equivalent terms and involve no transaction costs.

Its importance lies in arbitrage. If two otherwise identical firms have different values solely because one uses debt, investors can sell the overpriced securities and construct the same payoff more cheaply using homemade leverage. Such trading continues until the firms have equal values.

In actual markets, homemade leverage may not be a perfect substitute because individuals can face higher borrowing rates, limited liability differences, taxes, transaction costs, and borrowing restrictions.

A firm can determine a target capital structure through the following procedure:

1. Forecast operating cash flows: Estimate expected , cash-flow volatility, and downside scenarios.
2. Assess debt capacity: Examine interest coverage, debt-service coverage, collateral, loan covenants, and maturity requirements.
3. Estimate financing costs: Calculate marginal after-tax debt cost and the cost of equity at alternative leverage levels.
4. Compute WACC:

5. Estimate value: Discount free cash flows using the WACC appropriate to each feasible structure.
6. Include distress and agency effects: Consider expected bankruptcy costs, restrictive covenants, underinvestment, and risk-shifting incentives.
7. Conduct sensitivity and scenario analysis: Test recession, interest-rate, refinancing, and credit-rating scenarios.
8. Compare strategic factors: Evaluate flexibility, control, market timing, industry norms, and future funding needs.
9. Select a target range: Choose a prudent debt ratio around the estimated value-maximizing point rather than relying on a single precise ratio.

The optimum balances tax and cost advantages against risk and loss of flexibility.

A practical capital-structure checklist should cover the following areas:

• Business risk: Are sales, margins, and operating cash flows stable enough to support fixed obligations?
• Debt-service capacity: Are interest coverage and cash-flow coverage adequate under both normal and adverse conditions?
• Tax position: Can the firm use interest tax shields, or are taxable profits too low or uncertain?
• Cost of financing: What are the marginal costs of debt, equity, preference shares, and retained earnings?
• Financial flexibility: Will the firm retain borrowing capacity for emergencies and future investments?
• Control: Would issuing equity dilute voting control or change ownership influence?
• Credit rating and covenants: How will added debt affect ratings, collateral requirements, and contractual restrictions?
• Asset characteristics: Are assets tangible, marketable, and suitable as security, or largely intangible and risky?
• Industry comparison: Is the proposed leverage reasonable relative to firms with similar operating risk?
• Market conditions: Are interest rates, equity valuations, and investor demand favorable?
• Maturity and currency matching: Do debt maturity and currency align with project cash flows?
• Distress exposure: Are expected bankruptcy, restructuring, and reputational costs acceptable?

Management should evaluate these factors together rather than choosing debt solely because it appears cheaper.

Bankruptcy costs are losses arising when a firm enters formal insolvency proceedings or is perceived to be close to default.

Direct bankruptcy costs are explicit administrative and legal expenses, including:

• Court and filing fees
• Lawyers' and accountants' fees
• Trustee, administrator, and restructuring-adviser charges
• Valuation and asset-disposal expenses
• Management time devoted to formal proceedings

Indirect bankruptcy costs arise from disruption to the business and may include:

• Loss of customers, suppliers, and skilled employees
• Stricter trade-credit terms and demands for advance payment
• Fire-sale disposal of assets below economic value
• Delayed or abandoned profitable investments
• Reduced product quality, marketing, and maintenance
• Reputational damage and weakened bargaining power

Indirect costs are difficult to measure and can exceed direct costs. Since the probability and magnitude of these costs generally rise with leverage, they reduce the net value created by debt tax shields.

Financial distress is a condition in which a firm has difficulty meeting contractual financial obligations or can do so only through costly corrective action. It may occur before formal default or bankruptcy.

Major causes:

• Excessive leverage and high fixed interest commitments
• Persistent operating losses or declining demand
• Poor working-capital management
• Maturity mismatch and refinancing failure
• Unexpected interest-rate, currency, or commodity-price movements
• Large legal, regulatory, or contingent liabilities

Warning signs:

• Falling interest-coverage and debt-service ratios
• Repeated covenant breaches
• Delayed payments to lenders, employees, or suppliers
• Deteriorating liquidity and increasing short-term borrowing
• Credit-rating downgrades and rising borrowing spreads
• Asset sales required to fund normal operations

Consequences:

• Loss of stakeholder confidence
• Higher financing and operating costs
• Restrictive lender intervention
• Underinvestment and employee departures
• Forced restructuring, asset sales, or bankruptcy

Financial distress can destroy value even when formal bankruptcy never occurs.

The trade-off theory states that a firm selects leverage by balancing the benefits of debt against its associated costs.

A simplified valuation relationship is:

The expected distress cost can be viewed as:

At low debt levels:

• Interest tax shields add value.
• Debt may reduce free-cash-flow agency problems.
• The probability of distress remains relatively small.

At high debt levels:

• Default probability rises.
• Lenders demand higher interest rates and impose restrictions.
• Shareholders may reject safe positive-value projects or prefer excessively risky projects.
• Expected direct and indirect distress costs increase.

The optimal debt level occurs where the marginal benefit of another unit of debt equals its marginal expected cost. Thus, unlike the basic MM tax model, trade-off theory predicts a finite, firm-specific target leverage ratio.

Capital structure depends on several qualitative and quantitative factors:

• Business risk: Firms with volatile operating income generally use less debt because fixed interest obligations amplify the probability of distress. Stable firms can usually support more leverage.
• Financial risk: Additional borrowing increases the variability of earnings available to shareholders and can raise both and .
• Control: Debt avoids immediate dilution of voting rights, while new equity can reduce existing owners' control. Excessive debt, however, may transfer effective control to lenders through covenants or restructuring.
• Financial flexibility: Maintaining unused debt capacity allows a firm to fund future projects, acquisitions, or unexpected cash shortfalls. Heavy current borrowing reduces this reserve.
• Market conditions: Low interest rates may favor debt, whereas high equity valuations may make share issuance attractive. Management must nevertheless avoid basing a long-term structure solely on temporary market timing.
• Asset and industry characteristics: Tangible assets and stable industry cash flows support debt more readily than intangible assets and uncertain growth opportunities.

A sound decision balances these factors with WACC and valuation estimates.