Final answer:
To calculate the appropriate cost of capital, we consider the company's mixture of debt, preferred stock, and common equity, along with their respective market values and costs. We then use these to compute the weighted average cost of capital (WACC), accounting for the tax benefits from debt and the perpetual growth of dividends for common stock.
Step-by-step explanation:
Cost of Capital Calculation
To calculate the appropriate cost of capital for the new project that Cullumber Products Co. is undertaking, we must take into account the company's current capital structure and the costs associated with each component. The current capital structure includes debt, preferred shares, and common stock. We need to find the market value proportions of each and calculate the after-tax cost of debt, cost of preferred equity, and cost of common equity to then calculate the weighted average cost of capital (WACC).
The after-tax cost of debt is calculated based on the current yield of the bonds, wherein the tax shield provided by the interest expense is taken into account. The cost of preferred equity is determined by dividing the annual dividend by the market price of the preferred stock. Lastly, the cost of common equity can be estimated using the Gordon Growth Model as this firm's dividends are expected to grow perpetually at a constant rate.
With the calculated costs, we then multiply each cost by its respective proportion in the total market value of the firm to find the weighted costs. Summing these up gives us the WACC, which is the appropriate cost of capital for projects with the same risk profile as the firm's current projects.