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Understanding the cost of debt is crucial for evaluating a company's financing choices. The cost of debt refers to the effective rate that a company pays on its borrowed funds. It's often calculated on an after-tax basis because interest expenses are tax-deductible, which can lower the net cost of borrowing. The formula used is \( \text{After-tax cost of debt} = r_d \times (1 - \text{Tax Rate}) \).

To illustrate, Adams Corporation can issue debt at a rate of 10%, and with a tax rate of 30%, the calculation would be \( 0.10 \times (1 - 0.30) = 0.07\) or 7%. This means the effective cost of debt for the company is 7% after considering tax savings. By accounting for tax deductions, businesses can make more informed financial decisions when planning their capital structures.

Preferred stock often provides companies with a source of capital that has characteristics of both debt and equity. The cost of preferred stock is the return required by investors to hold the company's preferred shares. It is calculated by dividing the preferred dividend by the market price per share, using the formula \( r_{ps} = \frac{D_{ps}}{P_{ps}} \).

For instance, Adams Corporation pays a fixed dividend of \(5 per preferred share and the current price per share is \)49. Therefore, the cost of preferred stock is \( \frac{5}{49} \approx 0.10204 \) or 10.204%. It represents the cost to the company to maintain this form of external financing, acting as an essential component in certain capital structures due to its fixed dividend obligation and lack of voting rights.

The cost of common equity is the return a company expects to pay to its equity shareholders to compensate for the risk of their investment. It is often calculated using models like the Gordon Growth Model, which is expressed as \( r_s = \frac{D_1}{P_0} + g \). Here, \( D_1 \) is the next expected dividend, \( P_0 \) is the current stock price, and \( g \) is the growth rate of dividends.

For Adams Corporation, with a next expected dividend of \(3.50, a current share price of \)36, and an estimated growth rate of 6%, the computation is \( \frac{3.50}{36} + 0.06 = 0.0972 + 0.06 = 0.1572 \) or 15.72%. This reflects what the company must achieve in earnings on its equity to retain or attract investors, making it a crucial part of evaluating financial choices.

Capital structure refers to the mix of different sources of long-term funds used by a company, typically including debt, preferred stock, and common equity. A firm's capital structure is essential for determining its Weighted Average Cost of Capital (WACC), which represents the average rate of return it must pay to finance its assets, weighted according to the proportion of each financing source.

WACC is calculated using \( \text{WACC} = w_d \cdot r_d + w_{ps} \cdot r_{ps} + w_s \cdot r_s \), where \( w_d \), \( w_{ps} \), and \( w_s \) are the weights of debt, preferred stock, and equity, respectively. For Adams Corporation, the weights are 0.15 for debt, 0.10 for preferred stock, and 0.75 for common stock. Substituting the costs of each into the formula yields \( 0.15 \times 0.07 + 0.10 \times 0.10204 + 0.75 \times 0.1572 = 0.138604 \) or 13.86%.

Understanding the WACC helps companies evaluate potential projects. It acts as a benchmark. Projects with expected returns above the WACC should, in theory, be considered as they promise returns exceeding the company's average financing cost, thereby increasing shareholder value.