Cost of Capital Components

The Cost of Retained Earnings (Kr) is the opportunity cost of using retained profits for new projects instead of distributing them as dividends to shareholders. It is not zero because if these earnings were distributed, shareholders would have invested them elsewhere and earned a return. The company, by retaining these earnings, deprives shareholders of this alternative investment opportunity.
Typically, Kr is considered to be equal to the Cost of Equity (Ke). This is because the funds belong to the equity shareholders, and their required rate of return on these funds (whether distributed as dividends and reinvested, or retained by the company) should be the same. However, some argue that Kr might be slightly lower than Ke if flotation costs (which are incurred when issuing new equity) are considered, as retained earnings do not incur these costs.

The Cost of Preference Share Capital (Kp) is the rate of return expected by preference shareholders.

• Irredeemable Preference Shares: Kp = (Annual Preference Dividend / Net Proceeds) * 100
• Redeemable Preference Shares: This involves calculating the IRR or using an approximation.
  • Kp = [PD + (RV - NP) / n] / [(RV + NP) / 2]
    Where: PD = Annual Preference Dividend, RV = Redemption Value, NP = Net Proceeds, n = Number of years to maturity.
    Unlike interest on debt, preference dividends are generally not tax-deductible for the company in India. Therefore, there is no tax shield benefit, and the before-tax and after-tax costs of preference shares are typically the same from the company's perspective.

The Cost of Debt (Kd) is the interest rate a company pays on its borrowings.

• Irredeemable Debt:
  • Before-tax Kd = (Interest / Net Proceeds) * 100
  • After-tax Kd = Before-tax Kd * (1 - Tax Rate)
• Redeemable Debt: This requires calculating the Internal Rate of Return (IRR) or using an approximation.
  • Approximation Formula (Before-tax): Kd = [I + (RV - NP) / n] / [(RV + NP) / 2]
    Where: I = Annual Interest, RV = Redemption Value, NP = Net Proceeds, n = Number of years to maturity.
  • After-tax Kd (for redeemable debt): The IRR calculation should incorporate after-tax interest payments. Alternatively, the approximation formula can be adjusted: Kd (after-tax) = [I(1-t) + (RV - NP) / n] / [(RV + NP) / 2]
    The after-tax cost is more relevant for capital budgeting decisions because interest is a tax-deductible expense, reducing the effective cost to the company.

Flotation costs are the expenses incurred by a company when issuing new securities (debt, preference shares, or equity shares) to the public. These costs reduce the net proceeds received by the company from the issue.
Examples: Underwriting commission, brokerage, legal fees, printing expenses, advertising expenses, registration fees.
Impact on Cost of Capital:
Flotation costs increase the effective cost of capital because the company receives less net proceeds for the same stream of future payments (interest/dividends).

• Cost of Debt (Kd): Flotation costs reduce the 'Net Proceeds' (NP) in the Kd calculation, thereby increasing the effective cost of debt.
• Cost of Preference Shares (Kp): Similarly, flotation costs reduce the 'Net Proceeds' (NP) for preference shares, leading to a higher Kp.
• Cost of Equity (Ke) / New Equity (Kne): For new equity issues, flotation costs reduce the 'Net Proceeds' (P0 - flotation cost per share), making the cost of new equity (Kne) higher than the cost of existing equity (Ke) or retained earnings (Kr).

WACC is the overall cost of capital for a firm. It is calculated by multiplying the cost of each capital component (equity, debt, preference shares) by its proportional weight in the total capital structure, and then summing the results. It represents the minimum return a company must earn on its existing asset base to satisfy its creditors, owners, and other providers of capital.

CAPM is used to calculate the cost of equity. It states that the expected return on equity is equal to the risk-free rate plus a risk premium. Formula: Ke = Rf + Beta(Rm - Rf), where Rf is the risk-free rate, Beta is the systematic risk of the stock, and Rm is the expected market return.

The Capital Asset Pricing Model (CAPM) is a widely used model to determine the theoretically appropriate required rate of return of an asset, given its risk.
Formula: Ke = Rf + Beta * (Rm - Rf)
Where:

• Rf = Risk-free rate of return (e.g., yield on government securities).
• Beta (β) = A measure of the stock's systematic risk (non-diversifiable risk) relative to the market.
• Rm = Expected return on the market portfolio.
• (Rm - Rf) = Market risk premium.
  Inputs Required:

1. Risk-free rate (Rf).
2. Market risk premium (Rm - Rf).
3. Company's Beta (β).
   Advantages:
4. Explicitly considers systematic risk (Beta).
5. Widely accepted and used in practice.
6. Applicable even for companies that do not pay dividends.
7. Provides a theoretically sound basis for risk-adjusted return.

Cost of debt is cheaper for two main reasons: 1) Debt is less risky for the investor because lenders have a prior claim on assets and income in the event of liquidation, so they accept lower returns. 2) Interest payments on debt are tax-deductible for the company, lowering the effective (post-tax) cost of debt, whereas dividends paid on equity are not tax-deductible.

• Explicit Cost of Capital: This refers to the actual, out-of-pocket expenses incurred by a company to raise funds. It is the discount rate that equates the present value of the cash inflows (net proceeds from issue) with the present value of the cash outflows (interest, dividends, redemption payments). These costs are directly observable and quantifiable.
  • Examples: Interest payments on debt, preference dividends, flotation costs (underwriting commission, brokerage, legal fees) for new issues.
• Implicit Cost of Capital (Opportunity Cost): This refers to the cost of foregoing the next best alternative use of funds. It is not an actual cash outflow but represents the return that could have been earned if the funds were used differently.
  • Examples: The cost of retained earnings (Kr) is a prime example. If a company retains earnings, it foregoes the opportunity for shareholders to invest those funds elsewhere and earn a return. The implicit cost is that foregone return. Another example could be the opportunity cost of using existing assets for a new project instead of selling them.

The Dividend Discount Model (DDM) calculates the Cost of Equity (Ke) based on the present value of future dividends.

• No Growth Model: Ke = D1 / P0
  Where: D1 = Expected dividend next year, P0 = Current market price per share.
• Constant Growth Model (Gordon's Model): Ke = (D1 / P0) + g
  Where: D1 = Expected dividend next year (D0 * (1+g)), P0 = Current market price per share, g = Constant growth rate of dividends.
  Assumptions:

1. Dividends grow at a constant rate (for Gordon's model).
2. The growth rate (g) is less than the required rate of return (Ke).
3. The company pays dividends.
   Limitations:
4. Not suitable for companies that do not pay dividends or have erratic dividend policies.
5. Difficulty in accurately estimating the future growth rate (g).
6. Assumes a constant growth rate, which may not be realistic.
7. Does not consider capital gains or other forms of shareholder returns directly.

Using historical (past) cost of capital for evaluating new investment projects has several limitations:

1. Not Reflective of Current Conditions: Historical costs reflect the cost of funds raised in the past under different market conditions (interest rates, risk perceptions, tax regimes). These may not be relevant for current or future financing.
2. Ignores Future Financing Mix: New projects might be financed by a different mix of debt and equity, or at different costs, than the existing capital structure.
3. Does Not Account for Project-Specific Risk: A new project might have a different risk profile than the company's average existing assets, requiring a different discount rate. Historical cost is an average and may not capture this specific risk.
4. Opportunity Cost Principle: Capital budgeting decisions should be based on the opportunity cost of new funds, not the embedded cost of old funds.
   Relevance of Marginal Cost of Capital:
   The Marginal Cost of Capital (MCC) is more relevant because it represents the weighted average cost of the new funds raised to finance a new project. It reflects the cost of obtaining additional capital, considering current market rates, flotation costs for new issues, and the target capital structure for future financing. Therefore, for capital budgeting decisions, the MCC is the appropriate discount rate as it represents the true cost of financing the marginal investment.

The Earnings Yield Method considers the earnings per share (EPS) relative to the market price per share.
Formula: Ke = (EPS1 / P0) * 100
Where: EPS1 = Expected earnings per share for the next period, P0 = Current market price per share.
This method essentially calculates the earnings-to-price ratio.
Appropriate Conditions:

1. When a company retains all its earnings (i.e., pays no dividends).
2. When earnings are expected to remain relatively stable or grow at a very low rate.
3. For companies where dividend policy is not a reliable indicator of shareholder returns.
   Limitations:
4. Assumes that all earnings are distributed or available for distribution, which is often not the case.
5. Ignores the growth prospects of the company.
6. Does not account for the reinvestment of earnings and their potential future impact on share price.
7. Can be misleading if earnings are volatile.

The Cost of Equity (Ke) is generally higher than the Cost of Debt (Kd) due to several key factors:

1. Risk: Equity shareholders bear higher risk than debtholders. Debtholders have a prior claim on the company's assets and earnings in case of liquidation, and their interest payments are fixed. Equity shareholders are residual claimants, meaning they get paid only after all other obligations are met. This higher risk demands a higher expected return.
2. Tax Deductibility of Interest: Interest payments on debt are tax-deductible for the company, creating a 'tax shield' that reduces the effective cost of debt. Dividends paid to equity shareholders are generally not tax-deductible, meaning the company pays them out of after-tax profits. This makes the after-tax cost of debt significantly lower.
3. Legal Obligation: Interest payments are a legal obligation, and failure to pay can lead to bankruptcy. Dividend payments, especially for common equity, are discretionary and can be skipped without legal repercussions, reflecting the lower certainty of return for equity investors.
4. Flotation Costs: While both incur flotation costs, new equity issues often have higher flotation costs as a percentage of the funds raised compared to debt issues, further increasing the cost of new equity.

The corporate tax rate significantly influences the Cost of Debt (Kd) because interest payments on debt are a tax-deductible expense for the company. This creates a 'tax shield' that reduces the effective cost of debt.
The relationship is captured by the formula:
After-tax Kd = Before-tax Kd * (1 - Tax Rate)

• Higher Tax Rate: A higher corporate tax rate leads to a greater tax shield. This means the government effectively subsidizes a larger portion of the interest expense, resulting in a lower after-tax cost of debt for the company.
• Lower Tax Rate: Conversely, a lower corporate tax rate provides a smaller tax shield, leading to a higher after-tax cost of debt.
  This effect is significant because capital budgeting decisions should be based on the after-tax cost of capital, as it reflects the true economic cost to the firm. It makes debt a relatively cheaper source of financing compared to equity, from the company's perspective, due to this tax advantage.

The 'Cost of Capital' is the rate of return that a company must earn on its investment projects to maintain its market value and attract new capital. It represents the minimum required rate of return on new investments. For CA students, understanding it is crucial as it's used in capital budgeting decisions (discounting future cash flows), capital structure decisions, and valuation. It acts as a benchmark for evaluating investment opportunities.
Its main components are:

1. Cost of Debt (Kd): The return required by lenders on the company's debt.
2. Cost of Preference Share Capital (Kp): The return expected by preference shareholders.
3. Cost of Equity Share Capital (Ke): The return required by common equity shareholders.
4. Cost of Retained Earnings (Kr): The opportunity cost of using retained profits instead of distributing them as dividends.