Computation of Cost of Capital

Computation of the cost of capital involves calculating the weighted average cost of the various sources of capital used by a company. The cost of capital is a crucial metric in corporate finance as it represents the return investors require for providing funds to the company.

1. Cost of Debt

The cost of debt is the interest rate a company pays on its debt. It is relatively straightforward to calculate:

Cost of Debt = Annual Interest / Expense Total Debt​

Alternatively, you can use the following formula, taking into account the tax shield from interest payments:

Cost of Debt = Coupon Payment × (1−Tax Rate)

2. Cost of Equity

The cost of equity is the return required by investors for holding the company’s stock. The most common methods to calculate the cost of equity are the Dividend Discount Model (DDM) and the Capital Asset Pricing Model (CAPM):

• Dividend Discount Model (DDM):

Cost of Equity = [Dividends per Share / Current Stock Price] + Growth Rate of Dividends

• Capital Asset Pricing Model (CAPM):

Cost of Equity = Risk – Free Rate + [Beta × (Market Return − RiskFree Rate)]

3. Cost of Preferred Stock

The cost of preferred stock is the dividend paid on preferred stock:

Cost of Preferred Stock = Dividends per Share / Net Preferred Stock Price​

4. Weighted Average Cost of Capital (WACC)

Once you have calculated the costs of debt, equity, and preferred stock, you can calculate the WACC by weighting these costs based on their proportion in the company’s capital structure:

WACC = (Weight of Debt × Cost of Debt) + (Weight of Equity × Cost of Equity) + (Weight of Preferred Stock × Cost of Preferred Stock)

Where:

• The weights are typically expressed as the proportion of each component to the total capital structure.

Weight of Debt = Market Value of Debt / Total Market Value of Firm’s Capital​

Weight of Equity = Market Value of Equity / Total Market Value of Firm’s Capital​

Weight of Preferred Stock = Market Value of Preferred Stock / Total Market Value of Firm’s Capital

The WACC represents the average cost of all capital sources and is used as a discount rate in capital budgeting and valuation analyses.

Important Considerations of Cost of Capital:

1. Cost of Each Source of Finance

The cost of capital differs according to the source of finance used by a business. Debt, preference shares and equity shares have different costs. Debt capital generally involves interest, while preference capital involves preference dividends and equity capital involves expected returns by shareholders. The financial manager must calculate the cost associated with each source before selecting a financing option. A lower cost of finance can reduce the overall financing burden of the business. Therefore, the cost of each source should be carefully evaluated along with its risk, maturity and repayment obligations. This helps in selecting an appropriate and economical financing structure.

2. Capital Structure

Capital Structure refers to the proportion of debt, preference capital and equity capital used by a business. It is an important consideration while determining the overall cost of capital. A higher proportion of debt may reduce the average cost because debt is generally cheaper than equity, but excessive debt increases financial risk. Similarly, excessive dependence on equity may increase the overall financing cost. The financial manager should therefore determine an appropriate combination of different sources. The objective is to achieve an optimum capital structure that minimises the overall cost of capital while maintaining an acceptable level of financial risk and supporting long term business objectives.

3. Risk Factor

Risk is an important consideration in determining the cost of capital. Investors expect higher returns when they face greater risk. Therefore, a business having higher financial and business risk generally has a higher cost of capital. Debt increases financial risk because interest and principal repayment obligations must be met irrespective of profits. Equity investors also demand higher returns when business uncertainty is high. The financial manager should assess factors such as business stability, earnings fluctuations, debt burden and market conditions before determining the appropriate financing mix. Proper risk assessment helps the business obtain funds at a reasonable cost while maintaining financial stability.

4. Tax Consideration

Taxation significantly affects the cost of different sources of finance. Interest paid on certain forms of debt may be allowed as a deduction while calculating taxable income, subject to applicable tax laws. This creates a tax benefit or tax shield and can reduce the effective cost of debt. However, dividends paid on equity shares are generally not treated as an expense in the same manner. Therefore, the financial manager should consider the after tax cost of capital while comparing financing alternatives. Tax rates, applicable deductions and changes in tax laws should be examined carefully before deciding the appropriate source and proportion of finance.

5. Market Conditions

Market Conditions influence the cost and availability of finance. Changes in interest rates, inflation, investor sentiment, economic conditions and stock market performance can affect the cost of raising funds. During periods of high interest rates, borrowing becomes expensive and increases the cost of debt. Similarly, unfavourable market conditions may increase investors’ required return on equity. Financial managers should therefore continuously monitor the financial market before making financing decisions. They should consider both current conditions and expected future changes. Proper assessment of market conditions helps a company choose a suitable financing source and avoid raising funds at an unnecessarily high cost.

6. Cost of Flotation

Flotation Cost refers to the expenses incurred while raising funds from external sources. These costs may include underwriting commission, brokerage, issue expenses, legal charges, registration fees and other administrative costs. Flotation costs increase the actual cost of raising capital and should therefore be considered when evaluating different financing alternatives. For example, issuing new equity shares may involve significant issue related expenses. Ignoring these costs may result in an incorrect estimation of the cost of capital. The financial manager should calculate the effective cost after considering such expenses to ensure that the selected source of finance is economical and financially suitable.

7. Time Period

The time period for which funds are required is another important consideration in determining the cost of capital. Short term and long term sources of finance have different costs, risks and repayment conditions. Short term finance may be suitable for temporary working capital requirements, while long term finance is generally appropriate for permanent investments and fixed assets. The financial manager should match the maturity of funds with the life of the asset or requirement. Choosing an unsuitable maturity can create refinancing or liquidity problems. Therefore, the duration of finance should be carefully considered while selecting the appropriate source of capital.

8. Purpose of Finance

The purpose for which funds are required influences the choice and cost of capital. Funds needed for working capital may require short term sources, whereas funds required for purchasing fixed assets or expansion may require long term finance. The financial manager should match the source of finance with the nature and duration of the investment. Using short term funds for long term projects can create liquidity and refinancing risks. Similarly, using expensive long term funds for temporary requirements may increase the financing cost unnecessarily. Therefore, the purpose of finance should be clearly identified before selecting the most suitable and cost effective source of capital.

Example of Computation of Cost of Capital:

A company has the following sources of finance:

Assume the corporate tax rate is 25%.

Step 1: Calculate After Tax Cost of Debt

After Tax Cost of Debt = Cost of Debt × (1 − Tax Rate)

= 8% × (1 − 25%)
= 6%

Step 2: Calculate Weighted Average Cost of Capital

Conclusion

The Weighted Average Cost of Capital (WACC) of the company is 9.80%. This means the company must earn a return of at least 9.80% on its investments to cover the average cost of its financing. If a project is expected to generate a return higher than 9.80%, it may be financially acceptable, subject to other investment considerations.