Comprehensive Study Notes: Business Finance – Capital Structure, Cost of Capital, Leverage & Capital Budgeting

Foundations of Capital Structure

• Definition: Capital structure is the specific composition of long-term financing—primarily debt and equity—mobilized by an enterprise to fund operations and investments (Robert Wessel).

• Managerial Importance: Financing choices directly alter the risk profile, valuation, solvency exposure, and bankruptcy costs of the firm.

Determinants and Characteristics

• Key Determinants:

  • Nature of Business and Earnings Stability: Cyclical or volatile businesses rely primarily on equity; firms with predictable, stable cash flows can sustain higher proportions of fixed-charge debt.

  • Size and Age: Small or newly formed enterprises lack broad credit access and depend largely on proprietary equity, whereas mature firms utilize diverse funding channels.

  • Growth and Market Conditions: Rapidly expanding firms tap multiple sources, while prevailing interest rates, liquidity conditions, and floatation costs influence timing and cost of issuance.

  • Corporate Control and Regulation: Preference for non-voting instruments protects management control; statutory frameworks (e.g., SEBI) impose regulatory compliance.

• Optimum Capital Structure: The ideal mix of securities that minimizes the weighted average cost of capital and maximizes aggregate firm value (E.W. Walker).

• Essential Features: Economy (low financing costs), safety (adequate coverage of fixed commitments), balance (prudent debt-to-equity ratio), flexibility (adaptability to future funding needs), control (minimal ownership dilution), simplicity, and legal conformity.

Theoretical Approaches to Capital Structure

• Taxonomy: Theories are categorized as Relevant (financing mix influences firm value and cost of capital) or Irrelevant (financing mix has no effect on firm value).

• Net Income (NI) Approach (David Durand, $1952$):

  • Premise: Leverage is relevant. Because the cost of debt ($K_d$) is lower than the cost of equity ($K_e$), employing more debt depresses overall cost of capital ($K_o$) and expands total enterprise value ($V$).

  • Assumptions: No taxes, perpetual life, fixed assets, $100\%$ dividend payout, and unchanged risk perception ($K_e$ and $K_d$ remain constant across leverage levels).

• Net Operating Income (NOI) Approach (David Durand):

  • Premise: Leverage is irrelevant. Total firm value ($V$) and overall cost of capital ($K_o$) remain invariant to capital structure changes.

  • Mechanism: As cheap debt increases, equity holders perceive higher financial risk and demand an elevated $K_e$, neutralizing the cost advantage of debt.

• Traditional Approach (Ezra Solomon, Fred Weston):

  • Premise: An optimum capital structure exists. Moderate amounts of debt reduce $K_o$ and increase firm value up to a critical inflection point; excessive debt beyond this point sharply elevates financial risk, raising both $K_d$ and $K_e$, which increases $K_o$ and depresses $V$.

• Modigliani and Miller (MM) Approach (Franco Modigliani, Merton Miller):

  • Premise: In a frictionless market with zero corporate taxes, capital structure is irrelevant.

  • Mechanism: Arbitrage maintains identical market values across levered and unlevered firms with identical operating risk.

• Key Formulations:

  • Value of Equity: $E = \frac{\text{Net Income}}{K_e}$

  • Value of Debt: $D = \frac{\text{Interest}}{K_d}$

  • Total Firm Value: $V = E + D$

  • Total Firm Value under NOI: $V = \frac{\text{EBIT}}{K_o}$

  • Overall Cost of Capital: $K_o = \frac{\text{EBIT}}{V} \times 100$

Cost of Capital and Component Computations

• Definition: The minimum required rate of return or cut-off hurdle rate for capital investment proposals (Solomon Ezra, John J. Hampton).

• Cost of Equity ($K_e$):

  • Dividend Price Method: $K_e = \frac{D_1}{P_0}$

  • Dividend Price Plus Growth Method: $K_e = \frac{D_1}{P_0} + g$

• Cost of Debt ($K_d$):

  • Perpetual Debt: $K_d = \frac{I(1 - t)}{B_0} \times 100$

  • Redeemable Debt: $K_d = \frac{I(1 - t) + \frac{RV - B_0}{n}}{\frac{RV + B_0}{2}}$

• Cost of Preference Capital ($K_p$):

  • Perpetual Preference Shares: $K_p = \frac{PD}{P_0}$

  • Redeemable Preference Shares: $K_p = \frac{PD + \frac{P_n - P_0}{n}}{\frac{P_n + P_0}{2}}$

• Cost of Retained Earnings ($K_r$): Evaluated at the opportunity cost of equity ($K_r = K_e$); market value approach is inapplicable due to lack of independent trading prices.

• Weighted Average Cost of Capital ($WACC$ / $K_o$):

  • Component Model: $K_o = K_d W_d + K_p W_p + K_e W_e + K_r W_r$

  • Aggregate Formula: $K_w = \frac{\sum XW}{\sum W}$

Capital Budgeting Principles and Evaluation Techniques

• Nature & Significance: Long-term capital allocation to fixed assets involving significant outlays, extended forecasting horizons ($5$ to $15\text{ years}$), strategic impacts, and irreversibility.

• Sequential Process: Project Identification $\rightarrow$ Screening & Appraisal $\rightarrow$ Project Selection $\rightarrow$ Implementation $\rightarrow$ Post-Completion Performance Review.

• Appraisal Methods:

  • Payback Period: Time required to recover initial investment: $\text{Payback Period} = \frac{\text{Initial Outlay}}{\text{Annual Cash Inflow}}$. Simple and liquid-focused; ignores post-payback cash flows and the time value of money.

  • Accounting Rate of Return (ARR): $\text{ARR} = \frac{\text{Average EAT}}{\text{Average Investment}} \times 100$. Uses accounting statements across full asset life; ignores actual cash flows and discounting.

  • Net Present Value (NPV): $NPV = \sum_{t=1}^{n} \frac{C_t}{(1 + k)^t} - \text{Initial Outlay}$. Direct dollar measure of shareholder wealth addition; accept if $NPV > 0$.

  • Internal Rate of Return (IRR): Intrinsic discount rate equating present value of cash inflows to outflows ($NPV = 0$): $IRR = L + \left( \frac{\text{Positive } NPV}{\text{Positive } NPV - \text{Negative } NPV} \right) \times (H - L)$.

  • Profitability Index (PI): $PI = \frac{\text{PV of Cash Inflows}}{\text{PV of Cash Outflows}}$. Accepts projects if $PI > 1$; superior tool under capital rationing constraints.

Leverage Analysis and Financing Frameworks

• Cash Flow Determination: Operating cash flow is determined by adding non-cash depreciation back to after-tax profits: $\text{EBDT} - \text{Depreciation} = \text{EBT} - \text{Tax} = \text{EAT} + \text{Depreciation} = \text{Operating Cash Inflow}$.

• Operating Leverage: Driven by fixed operating costs; measures business risk: $DOL = \frac{\% \Delta \text{EBIT}}{\% \Delta \text{Sales}} = \frac{\text{Contribution}}{\text{EBIT}}$.

• Financial Leverage: Driven by fixed financing charges; measures financial insolvency risk: $DFL = \frac{\% \Delta \text{EPS}}{\% \Delta \text{EBIT}} = \frac{\text{EBIT}}{\text{EBT}}$.

• Combined Leverage: Comprehensive risk sensitivity metric linking sales volume shifts directly to equity earnings: $DCL = DOL \times DFL = \frac{\% \Delta \text{EPS}}{\% \Delta \text{Sales}}$.

• EBIT-EPS Analysis: Evaluates alternative financing structures across hypothetical operating income levels to identify the optimum debt-to-equity ratio that maximizes $EPS$.

• Pecking Order Theory (Stewart Myers): Financing hierarchy governed by information asymmetry: Internal Equity (retained earnings) $\rightarrow$ Straight Debt $\rightarrow$ External Equity (avoided due to negative signals of overvaluation).

• Securities Valuation:

  • Bonds: Intrinsic value equals the discounted present value of contractual coupon cash flows plus principal face value at maturity.

  • Shares: Appraised quantitatively through the Net Assets Method, Yield Method, or Fair Value Method.