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Capital structure

Introduction to Capital Structure

In financial management, capital structure refers to the way a company finances its overall operations and growth by using different sources of funds. These sources typically include equity (money raised by issuing shares), debt (borrowed money), and preference shares (a hybrid form of financing). The capital structure decision is crucial because it affects the company's risk profile, cost of capital, and ultimately, its value.

Why is capital structure important? Imagine a company wants to expand its business. It can either raise money by issuing new shares or by borrowing from banks. Each choice has its own cost and risk. Choosing the right mix helps the company minimize its cost of funds and maximize shareholder wealth.

In this chapter, we will explore the sources of capital, factors influencing capital structure decisions, key theories explaining how capital structure affects firm value, the cost of capital, and the impact of leverage on earnings and risk.

Sources of Capital

Before understanding capital structure, it is essential to know the different sources of capital available to firms. Each source has distinct characteristics, advantages, and disadvantages.

Comparison of Capital Sources
Parameter Equity Capital Debt Capital Preference Shares
Definition Funds raised by issuing ordinary shares to owners Borrowed funds to be repaid with interest Shares with fixed dividend, priority over equity in dividends and liquidation
Cost Generally higher due to risk borne by shareholders Lower cost, interest is tax-deductible Fixed dividend, cost between debt and equity
Risk High risk for investors, no fixed returns Risk to firm if unable to pay interest/principal Moderate risk, fixed dividend but no voting rights
Control Shareholders have voting rights and control No voting rights for lenders No voting rights
Repayment No obligation to repay principal Principal must be repaid as per terms Redeemable or perpetual, repayment depends on terms
Tax Treatment Dividends not tax-deductible Interest expense is tax-deductible Dividends not tax-deductible

Equity Capital

Equity capital is the money raised by issuing ordinary shares to investors. Shareholders become owners of the company and have voting rights. Equity is considered the riskiest form of capital because dividends are not guaranteed and depend on company profits. However, equity does not require repayment, providing financial flexibility.

Debt Capital

Debt capital refers to borrowed funds, such as loans or bonds, which must be repaid with interest. Debt holders do not have ownership or voting rights. Interest payments are mandatory and tax-deductible, making debt a cheaper source of finance. However, excessive debt increases financial risk due to fixed obligations.

Preference Shares

Preference shares are a hybrid source of capital. Preference shareholders receive fixed dividends before equity shareholders but usually do not have voting rights. Preference shares can be redeemable or perpetual. They offer a middle ground between debt and equity in terms of cost and risk.

Factors Influencing Capital Structure

Choosing the right capital structure depends on various internal and external factors. Understanding these helps firms balance risk and return effectively.

graph TD    A[Factors Influencing Capital Structure] --> B[Business Risk]    A --> C[Financial Risk]    A --> D[Market Conditions]    B --> B1[Stability of Earnings]    B --> B2[Industry Characteristics]    C --> C1[Debt Obligations]    C --> C2[Interest Coverage]    D --> D1[Interest Rates]    D --> D2[Investor Sentiment]

Business Risk

Business risk refers to the inherent uncertainty in a company's operations and earnings before considering financial leverage. Companies with stable and predictable earnings can afford to take on more debt, while those with volatile earnings should rely more on equity to avoid financial distress.

Financial Risk

Financial risk arises from the use of debt financing. Higher debt increases fixed interest obligations, which can strain cash flows during downturns. Firms must assess their ability to meet these obligations without jeopardizing solvency.

Market Conditions

Prevailing market conditions, such as interest rates and investor sentiment, influence capital structure decisions. For example, low interest rates make debt financing attractive, while bullish equity markets may encourage issuing shares.

Theories of Capital Structure

Several theories explain how capital structure affects a firm's cost of capital and value. We will discuss three key theories:

Capital Structure Theories Net Income Approach - Cost of debt < Cost of equity - WACC decreases as debt increases - Firm value increases with leverage Net Operating Income Approach - WACC constant regardless of debt - Firm value unaffected by leverage - Cost of equity rises with debt Modigliani-Miller Theorem - Without taxes: Capital structure irrelevant - With taxes: Debt adds value (tax shield) - Optimal capital structure exists with taxes

Net Income Approach

This theory assumes that the cost of debt is less than the cost of equity and that the overall cost of capital (Weighted Average Cost of Capital or WACC) decreases as the firm increases its debt proportion. Consequently, the firm value increases with leverage. This approach encourages firms to use more debt.

Net Operating Income Approach

According to this approach, the WACC remains constant regardless of the debt-equity mix. While the cost of equity increases with leverage due to higher risk, the cheaper cost of debt balances it out. Therefore, firm value is unaffected by capital structure.

Modigliani-Miller Theorem

Proposed by Franco Modigliani and Merton Miller, this theorem has two propositions:

  • Without taxes: Capital structure does not affect firm value or WACC. The market is perfect, and investors can create their own leverage.
  • With corporate taxes: Debt financing provides a tax shield because interest is tax-deductible, increasing firm value. Hence, an optimal capital structure exists that balances tax benefits and financial distress costs.

Cost of Capital

The cost of capital is the minimum return a company must earn on its investments to satisfy its investors or lenders. It represents the opportunity cost of using funds for a particular project or business.

There are three main components:

  • Cost of Debt (Kd): The effective rate paid on borrowed funds after considering tax benefits.
  • Cost of Equity (Ke): The return required by equity shareholders.
  • Weighted Average Cost of Capital (WACC): The overall cost of capital weighted by the proportion of each source in the firm's capital structure.

Cost of Debt (K_d)

\[K_d = \frac{Interest\ Expense}{Net\ Proceeds} \times (1 - Tax\ Rate)\]

Calculates after-tax cost of debt financing

Interest Expense = Annual interest payment in INR
Net Proceeds = Amount received from debt issue
Tax Rate = Corporate tax rate in decimal

Cost of Equity (K_e) - Dividend Growth Model

\[K_e = \frac{D_1}{P_0} + g\]

Estimates cost of equity based on expected dividends

\(D_1\) = Dividend next year (INR)
\(P_0\) = Current market price per share (INR)
g = Growth rate of dividends (decimal)

Weighted Average Cost of Capital (WACC)

\[WACC = \left( \frac{E}{V} \times K_e \right) + \left( \frac{D}{V} \times K_d \right)\]

Overall cost of capital weighted by equity and debt proportions

E = Market value of equity (INR)
D = Market value of debt (INR)
V = Total capital = E + D
\(K_e\) = Cost of equity
\(K_d\) = After-tax cost of debt

Impact on Firm Value

Capital structure decisions directly influence a firm's value through the effect of financial leverage. Financial leverage refers to the use of debt to finance assets. While debt can increase returns to equity holders, it also raises financial risk.

graph TD    A[Leverage] --> B[Increases Earnings Per Share (EPS)]    A --> C[Increases Financial Risk]    B --> D[Higher Returns to Equity]    C --> E[Possibility of Financial Distress]    D --> F[Potential Increase in Firm Value]    E --> G[Potential Decrease in Firm Value]

The trade-off theory explains that firms seek an optimal capital structure where the marginal benefit of debt's tax shield equals the marginal cost of financial distress. Beyond this point, additional debt reduces firm value.

Key Concept

Optimal Capital Structure

The mix of debt and equity that minimizes WACC and maximizes firm value by balancing tax benefits and financial risk.

Worked Examples

Example 1: Calculating Weighted Average Cost of Capital (WACC) Medium
A company has equity worth INR 5,00,000 and debt worth INR 3,00,000. The cost of equity is 12% and the pre-tax cost of debt is 8%. The corporate tax rate is 30%. Calculate the company's WACC.

Step 1: Calculate after-tax cost of debt:

\( K_d = 8\% \times (1 - 0.30) = 8\% \times 0.70 = 5.6\% \)

Step 2: Calculate total capital:

\( V = E + D = 5,00,000 + 3,00,000 = 8,00,000 \)

Step 3: Calculate weights:

\( \frac{E}{V} = \frac{5,00,000}{8,00,000} = 0.625 \)

\( \frac{D}{V} = \frac{3,00,000}{8,00,000} = 0.375 \)

Step 4: Calculate WACC:

\( WACC = (0.625 \times 12\%) + (0.375 \times 5.6\%) = 7.5\% + 2.1\% = 9.6\% \)

Answer: The company's WACC is 9.6%.

Example 2: Effect of Leverage on Earnings Per Share (EPS) Medium
A company has EBIT of INR 10,00,000. It has two capital structures to choose from:
  • Option 1: Equity of INR 10,00,000, no debt.
  • Option 2: Debt of INR 5,00,000 at 10% interest and equity of INR 5,00,000.
The tax rate is 30%, and the number of equity shares is 1,00,000 in both cases. Calculate EPS under both options.

Option 1: No Debt

Interest = 0

Net Income = EBIT x (1 - Tax Rate) = 10,00,000 x (1 - 0.30) = 7,00,000

EPS = Net Income / Number of Shares = 7,00,000 / 1,00,000 = INR 7.00

Option 2: With Debt

Interest = 5,00,000 x 10% = 50,000

Taxable Income = EBIT - Interest = 10,00,000 - 50,000 = 9,50,000

Net Income = Taxable Income x (1 - Tax Rate) = 9,50,000 x 0.70 = 6,65,000

Number of Equity Shares = 50,000 (since equity is INR 5,00,000 and assuming face value INR 10)

EPS = 6,65,000 / 50,000 = INR 13.30

Answer: EPS increases from INR 7.00 to INR 13.30 due to leverage, illustrating the positive effect of debt on EPS.

Example 3: Determining Optimal Capital Structure Hard
A firm is considering the following capital structures:
Debt (INR)Equity (INR)Cost of Debt (%)Cost of Equity (%)
010,00,000-15
2,00,0008,00,0001016
4,00,0006,00,0001018
6,00,0004,00,0001221
Corporate tax rate is 30%. Find the capital structure that minimizes WACC.

Step 1: Calculate after-tax cost of debt for each structure:

  • For 0 debt: No debt, so ignore.
  • For 2,00,000 debt: \( K_d = 10\% \times (1 - 0.30) = 7\% \)
  • For 4,00,000 debt: \( K_d = 10\% \times 0.70 = 7\% \)
  • For 6,00,000 debt: \( K_d = 12\% \times 0.70 = 8.4\% \)

Step 2: Calculate total capital \( V = D + E \) for each:

  • 0 + 10,00,000 = 10,00,000
  • 2,00,000 + 8,00,000 = 10,00,000
  • 4,00,000 + 6,00,000 = 10,00,000
  • 6,00,000 + 4,00,000 = 10,00,000

Step 3: Calculate weights and WACC:

DebtEquityWdWeKdKeWACC
010,00,00001-15%15%
2,00,0008,00,0000.20.87%16%(0.2x7)+(0.8x16)=1.4+12.8=14.2%
4,00,0006,00,0000.40.67%18%(0.4x7)+(0.6x18)=2.8+10.8=13.6%
6,00,0004,00,0000.60.48.4%21%(0.6x8.4)+(0.4x21)=5.04+8.4=13.44%

Step 4: Identify minimum WACC:

Minimum WACC is 13.44% at 60% debt and 40% equity.

Answer: The optimal capital structure is 60% debt and 40% equity, minimizing WACC and maximizing firm value.

Example 4: Cost of Debt Calculation with Tax Shield Easy
A company issues bonds worth INR 10,00,000 with an annual interest expense of INR 90,000. The corporate tax rate is 35%. Calculate the after-tax cost of debt.

Step 1: Calculate pre-tax cost of debt:

\( K_d = \frac{Interest\ Expense}{Net\ Proceeds} = \frac{90,000}{10,00,000} = 9\% \)

Step 2: Calculate after-tax cost of debt:

\( K_d = 9\% \times (1 - 0.35) = 9\% \times 0.65 = 5.85\% \)

Answer: The after-tax cost of debt is 5.85%.

Example 5: Applying Modigliani-Miller Theorem with Taxes Hard
A firm has an unleveraged value of INR 15,00,000. It plans to borrow INR 5,00,000 at an interest rate of 10%. The corporate tax rate is 30%. Calculate the value of the leveraged firm according to the Modigliani-Miller theorem with taxes.

Step 1: Calculate the tax shield value:

\( Tax\ Shield = Tax\ Rate \times Debt = 0.30 \times 5,00,000 = 1,50,000 \)

Step 2: Calculate leveraged firm value:

\( V_L = V_U + Tax\ Shield = 15,00,000 + 1,50,000 = 16,50,000 \)

Answer: The value of the leveraged firm is INR 16,50,000, showing an increase due to the tax shield.

Tips & Tricks

Tip: Always calculate the after-tax cost of debt by multiplying the interest rate by (1 - Tax Rate).

When to use: When comparing costs of financing sources or calculating WACC.

Tip: Use market values, not book values, for equity and debt when calculating WACC and capital structure ratios.

When to use: For accurate assessment of firm's cost of capital and value.

Tip: Remember the mnemonic "D-E-P" to recall the order of capital sources: Debt, Equity, Preference shares.

When to use: During quick recall in exams.

Tip: For EPS calculations under leverage, subtract interest expense after tax to get accurate earnings available to equity holders.

When to use: When analyzing financial leverage impact on EPS.

Tip: Distinguish clearly between Modigliani-Miller propositions with and without taxes to apply the correct formula.

When to use: When solving theoretical capital structure problems.

Common Mistakes to Avoid

❌ Ignoring tax shield benefits when calculating cost of debt.
✓ Always multiply cost of debt by (1 - Tax Rate) to get after-tax cost.
Why: Overlooking tax impact leads to overestimating cost of debt and wrong WACC.
❌ Using simple average instead of weighted average for WACC.
✓ Use market value weights for equity and debt in WACC formula.
Why: Incorrect weighting distorts overall cost of capital calculation.
❌ Confusing book value and market value of debt and equity in calculations.
✓ Use market values for accurate capital structure and cost calculations.
Why: Market values reflect true economic cost; book values can mislead.
❌ Not adjusting interest expense for tax when calculating EPS under leverage.
✓ Multiply interest by (1 - Tax Rate) before subtracting from net income.
Why: Interest is tax-deductible; ignoring this inflates interest cost and understates EPS.
❌ Mixing up Modigliani-Miller propositions with and without taxes.
✓ Clearly identify which scenario applies and apply the correct formula accordingly.
Why: Taxes change the relationship between leverage and firm value significantly.
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