Detailed Study Notes on Return on Equity, Cost of Equity Capital, and Management Objectives

Introduction to Management Objectives

• Objective of management firms and companies' common stock is to maximize value.
• Core Principle: Maximize the excess of return on equity (ROE) over the cost of equity capital.

Cost of Equity Capital

• Definition: Cost of equity capital is the required return or expected return on an investment based on the level of risk.
• Interchangeable Terms: Cost of equity capital = Required return = Expected return.
• Expectation: Higher the risk of the stock, higher the required return expected by investors.
• Measurement Over Time: This principle holds true over any 20-year window regardless of which companies are analyzed.

Return on Equity (ROE)

• Definition: ROE measures how effectively a company uses equity to generate profit.
• Importance: Companies exhibit wealth creation when ROE exceeds the required return (r).
• Firms with sustained performance above required return (r) like Coca Cola and Intel are often supported by brand loyalty.
• For most companies, over time, ROE tends to converge towards r due to maturity and competition.

Factors Influencing ROE

• Maturity: As companies mature, competitive pressures often reduce ROE to align with the cost of equity capital.
• Competition: New entrants into a successful market segment often drive down potential ROE.
• Governance Issues: If ROE does not meet r, investors may demand changes in management due to dissatisfaction over lack of expected returns.

Focus on ROE

• Emphasis on consistently exceeding required return (r) is vital for maximizing the financial outcomes for stockholders.
• ROE will be the primary metric for evaluating performance.

Models of ROE

Basic ROE Calculation

• Formula: $\text{ROE} = \frac{\text{Net Income}}{\text{Average Stockholders' Equity}}$
• Recognizes net income as the profit available to common stockholders (after preferred dividends).
• Stockholders' equity should be averaged over the accounting period to avoid misleading results from fluctuations in equity.

Multiplicative Model of ROE

• Formula: $\text{ROE} = \text{Net Profit Margin} \times \text{Asset Turnover} \times \text{Financial Leverage}$   - Net Profit Margin: $\text{Net Income} \div \text{Revenue}$   - Asset Turnover: $\text{Revenue} \div \text{Average Total Assets}$   - Financial Leverage: $\text{Average Total Assets} \div \text{Average Stockholders' Equity}$
• Works to provide insight into contributing factors to ROE: profit margin, asset turnover, and leverage.

Examples in Multiplicative Model

• Starting with a firm investment (e.g., $100) and various operational changes can show effects on profit margins and asset turnover.
• Profit Margin Example: Increasing profits from inventory turnover directly impacts ROE positively.
• Leverage Example: Borrowing against assets can enhance ROE, but too much debt can move towards financial distress.

Additive Model of ROE

• Recognizes and isolates the impact of leverage in relation to equity and assets.
• Formula: $\text{ROE} = \text{ROA} + \text{spread} \times \text{leverage}$   - ROA (Return on Assets) considers net income without the influence of debt.   - Spread: $\text{ROA} - (1 - \text{Tax Rate}) \times \frac{\text{Interest Expense}}{\text{Average Interest Bearing Liabilities}}$   - Leverage: Ratio of average interest bearing liabilities to equity expresses the effect of using debt on ROE.

Conclusion

• Strong focus on ROE as it reflects a firm's financial health.
• The CAPM will be utilized for determining the required return to gauge investor expectations relative to a company's risk profile.
• Understanding the relationship between cost of equity capital, return on equity, and overall firm performance is essential for strategic decision-making and governance within the company.