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Chapter 23: Problem 20

ABC Inc. desires to maintain a capital structure of \(80 \%\) equity and \(20 \%\) debt. They currently have an effective tax rate of \(30 \%\). The company's cost of equity capital is \(12 \% .\) To obtain their debt financing, they issue bonds with an interest rate of \(10 \% .\) What is the company's weighted average cost of capital? a. \(8.0 \%\) b. \(10.4 \%\) c. \(11.0 \%\) d. \(11.6 \%\)

Short Answer

Expert verified
The short answer to this question is: The weighted average cost of capital for ABC Inc. is \(11.0\%\), which corresponds to option c.

Step by step solution

01

1. Identify the proportions of equity and debt in the capital structure

The capital structure of ABC Inc. is 80% equity and 20% debt. This means that: - Proportion of equity (E) is 80% or 0.8 - Proportion of debt (D) is 20% or 0.2
02

2. Calculate the after-tax cost of debt

The interest on debt is tax-deductible, so we need to calculate the after-tax cost of debt. We can do this using the formula: After-tax cost of debt = Interest rate 脳 (1 - Tax rate) For ABC Inc., the interest rate on bonds is 10%, and the tax rate is 30%. Therefore, the after-tax cost of debt can be calculated as: After-tax cost of debt = 0.10 脳 (1 - 0.30) = 0.10 脳 0.70 = 0.07 or 7%
03

3. Calculate the weighted average cost of capital (WACC)

Now that we have the proportions of equity and debt in the capital structure, as well as the costs of equity and debt, we can calculate the WACC using the following formula: WACC = (E/V) 脳 Cost of equity + (D/V) 脳 After-tax cost of debt For ABC Inc.: WACC = (0.8) 脳 0.12 + (0.2) 脳 0.07 WACC = 0.096 + 0.014 = 0.110 or 11% Thus, the weighted average cost of capital for ABC Inc. is 11%, which corresponds to option c. \(11.0\%\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Capital Structure
Capital structure refers to how a company finances its overall operations and growth using different sources of funds. This includes equity, debt, or a mix of both. In ABC Inc.'s case, the capital structure is comprised of 80% equity and 20% debt.
  • Equity: This represents ownership in the company. It is the funds contributed by shareholders who own a stake in the company. Shareholders typically look for returns through dividends and stock price appreciation.
  • Debt: This involves borrowing funds, usually by issuing bonds or taking loans. Debt holders do not own a part of the company, and are generally entitled to regular interest payments until the debt is repaid.
The choice of capital structure is crucial as it affects the company鈥檚 risk, return, and overall valuation.
Cost of Equity
The cost of equity is the return that shareholders require on their investment in the company. For ABC Inc., the cost of equity is noted as 12%.
This rate is crucial because:
  • It reflects the risk appetite of equity investors鈥攈igher risk demands higher returns.
  • It is used in calculating the Weighted Average Cost of Capital (WACC), a critical metric for evaluating investment opportunities.
To determine the cost of equity, financial analysts often use models such as the Capital Asset Pricing Model (CAPM), which considers the time value of money, risk, and potential returns.
After-Tax Cost of Debt
The after-tax cost of debt is the effective rate a company pays on its borrowed funds, accounting for tax deductions. ABC Inc.'s effective tax rate is 30%, and they've issued bonds with a 10% interest rate.
The formula for after-tax cost of debt is: After-tax cost of debt = Interest rate 脳 (1 - Tax rate)
For ABC Inc.:
After-tax cost of debt = 0.10 脳 (1 - 0.30) = 0.10 脳 0.70 = 7%
This is crucial because interest payments on debt reduce taxable income, effectively lowering the cost of borrowing.
Tax Rate Impact on Financing
Tax rates can significantly impact a firm's financing decisions. Since interest payments on debt are tax-deductible, they can lead to substantial tax savings.
  • A higher tax rate increases the tax shield provided by debt, making debt more attractive compared to equity.
  • This may encourage companies to increase debt in their capital structure to minimize tax liabilities.
In the case of ABC Inc., a 30% tax rate provides a notable reduction in their cost of debt, via the tax shield, enhancing their overall financial strategy.
Debt Financing
Debt financing involves borrowing funds to be repaid under the terms agreed upon with lenders. For ABC Inc., debt financing is achieved through issuing bonds with a 10% interest rate.
Key points about debt financing:
  • Interest repayment obligations can impact cash flow, as they represent a fixed expense.
  • Unlike equity, debt does not dilute existing ownership, allowing current shareholders to retain their stake.
  • Debt can enhance returns for equity holders if the borrowed funds generate a higher return than the cost of debt.
Overall, while debt can be beneficial, it also introduces financial risk, especially if the firm struggles to meet interest payments.

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Most popular questions from this chapter

Assuming an increase in price levels over time, which of the following asset valuations will produce the highest return on assets? a. Net book value b. Gross book value c. Replacement cost d. Depreciated replacement cost

Comfy Corporation manufactures furniture in several divisions, including the patio furniture division. The manager of the patio furniture division plans to retre in two years The manager receives a bonus based on the division's ROl, which is currently \(7 \%\) One of the machines that the patio furniture division uses to manufacture the furniture is rather old and the manager must decide whether to replace it. The new machine would cost \(\$ 35,000\) and would last 10 years. It would have no salvage value. The old machine is fully depreciated and has no trade-in value. Comfy uses straight-line depreciation for all assets. The new machine, being new and more efficient, would save the company \(\$ 5,000\) per year in cash operating costs. The only difference between cash flow and net income is depreciation. The internal rate of return of the project is approximately \(7 \%\). Comfy Corporation's's weighted-average cost of capital is 5\%. Comfy is not subject to any income taxes. 1\. Should Comfy Corporation replace the machine? Why or why not? 2\. Assume that "investment" is defined as average net long-term assets (that is, after depreciation) during the year. Compute the projects ROI for each of its first five years. . If the patio furniture manager is interested in maximizing his bonus, would he replace the machine before he retires? Why or why not? 3\. What can Comfy do to entice the manager to replace the machine before retiring?

What factors affecting ROI does the DuPont method of profitability analysis highlight?

ROI, RI, EVA. Hamilton Corp. is a reinsurance and financial services company. Hamilton strongly believes in evaluating the performance of its stand-alone divisions using financial metrics such as R0l and residual income. For the year ended December \(31,2017,\) Hamilton's CF0 received the following information about the performance of the property/casualty division: For the purposes of divisional performance evaluation, Hamilton defines investment as total assets and income as operating income (that is, income before interest and taxes). The firm pays a flat rate of \(25 \%\) in taxes on its income. 1\. What was the net income after taxes of the property/casualty division? 2\. What was the division's ROI for the year? 3\. Based on Hamilton's required rate of return of \(8 \%\), what was the property/casualty division's residual income for \(2017 ?\) 4\. Hamilton's CF0 has heard about EVA and is curious about whether it might be a better measure to use for evaluating division managers. Hamilton's four divisions have similar risk characteristics. Hamilton's debt trades at book value while its equity has a market value approximately \(150 \%\) that of its book value. The company's cost of equity capital is \(10 \%\). Calculate each of the following components of EVA for the property/casualty division, as well as the final EVA figure: a. Net operating profit after taxes b. Weighted-average cost of capital c. Investment, as measured for EVA calculations

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