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Klose Outfitters Inc. believes that its optimal capital structure consists of 60 percent common equity and 40 percent debt, and its tax rate is 40 percent. Klose must raise additional capital to fund its upcoming expansion. The firm will have \(\$ 2\) million of new retained earnings with a cost of \(\mathrm{r}_{\mathrm{s}}=12 \% .\) New common stock in an amount up to \(\$ 6\) million would have a cost of \(\mathrm{r}_{\mathrm{e}}=15 \% .\) Furthermore, Klose can raise up to \(\$ 3\) million of debt at an interest rate of \(\mathrm{r}_{\mathrm{d}}=10 \%,\) and an additional \(\$ 4\) million of debt at \(\mathrm{r}_{\mathrm{d}}=12 \% .\) The CFO estimates that a proposed expansion would require an investment of \(\$ 5.9\) million. What is the WACC for the last dollar raised to complete the expansion?

Short Answer

Expert verified
The WACC for the last dollar raised is 11.98%.

Step by step solution

01

Determine the Financing Mix

Klose Outfitters Inc. aims to finance its expansion with 60% equity and 40% debt. For a $5.9 million investment, 60% would be equity ( costing $3.54 million) and 40% would be debt (costing $2.36 million).
02

Identify Costs for Equity and Debt

The company has $2 million retained earnings at a cost of 12%. For equity investments above $2 million and up to $3.54 million additional cost of 15% is applicable. The first $3 million of debt could be raised at 10%, and any additional debt at 12%.
03

Calculate the After-Tax Cost of Debt

When debt is \(3 million, the interest rate is 10%. After tax, the cost is calculated as \(r_d \times (1 - \, \text{tax rate}) = 10\% \times (1-0.4) = 6\%\). For any additional amount over \)3 million up to $4 million, the rate is 12%, so the after-tax cost is \(12\% \times (1-0.4) = 7.2\%\).
04

Compute the Cost for Debt and Equity Funding

For the first $2.36 million needed in debt: the effective cost of debt up to $3 million is 6%. This means all debt can be taken at 6% cost. For equity, $2 million is funded at 12%, and the last $1.54 million needed costs 15%.
05

Calculate the Weighted Average Cost of Capital (WACC)

Using the formula \(\text{WACC} = (w_e r_e) + (w_d r_d)\) - with weights of equity and debt as relevant portions of the total $5.9 million required, we have: \\(\text{WACC} = \left(\frac{3.54}{5.9} \times 0.131088 \right) + \left(\frac{2.36}{5.9} \times 0.06\right)\) \= 11.98%.

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Key Concepts

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

Understanding Capital Structure
Capital structure is essentially how a company finances its operations and growth through different sources of funds. It involves a mix of equity (like common stock) and debt (such as loans or bonds). The aim is to find an optimal balance that minimizes the cost of capital while maximizing the company's value.
This balance can differ depending on the company's strategy and market conditions. For Klose Outfitters Inc., they determined their optimal capital structure consists of 60% equity and 40% debt. This means they rely more on equity than debt to finance their activities.
Choosing the right capital structure is crucial because it affects the Weighted Average Cost of Capital (WACC) and ultimately influences decision-making regarding investments and expansion.
Decoding Cost of Equity
The cost of equity refers to the return that investors expect on their equity investment in a firm. Specifically, it's the compensation that shareholders require for the risk of investing in the company as opposed to a risk-free investment. Klose Outfitters expects to utilize two kinds of equity: retained earnings (with a cost of 12%) and new common stock (with a higher cost of 15%). These different costs reflect the risk and expectations of returns.
Retained earnings, being internally generated, usually have a lower cost because they don’t incur additional expenses like issuing new shares might. Understanding the cost of equity helps companies determine whether to use retained earnings or issue new stock to finance their operations. It's key to balance such choices to keep investor satisfaction high while avoiding unnecessary expense.
Breaking Down Cost of Debt
The cost of debt is the effective rate that a company pays on its borrowed funds. It's an essential element of WACC since it directly affects a company's ability to take on new projects and its financial health.
The cost of debt is generally lower than the cost of equity because debt is often secured against the company's assets. In Klose Outfitters' case, the company can raise $3 million of debt with an interest rate of 10% and an additional $4 million of debt at a higher rate of 12%.
These rates reflect the increased risk to lenders of providing more debt. However, the cost of debt decreases after considering tax benefits, since interest is tax-deductible, which we'll explore next.
Tax Implications on Financing
Financing with debt comes with a significant tax advantage due to the tax-deductibility of interest payments. This makes debt an attractive financing option despite the potential risk of increased financial obligations.For Klose Outfitters, the tax rate of 40% plays an instrumental role in reducing the overall cost of debt.
The after-tax cost of the initial \(3 million in debt is calculated as 6% (10% interest rate multiplied by \(1 - 0.4\)), and 7.2% for any extra debt above \)3 million. These tax benefits effectively lower the WACC, making projects like expansions more feasible. It's important for firms to manage their capital structure by understanding these tax implications to optimize their financing strategy.

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Most popular questions from this chapter

Adams Corporation is considering four average-risk projects with the following costs and rates of return: The company estimates that it can issue debt at a rate of \(r_{d}=10 \%\), and its tax rate is 30 percent. It can issue preferred stock that pays a constant dividend of \(\$ 5\) per year at \(\$ 49\) per share. Also, its common stock currently sells for \(\$ 36\) per share, the next expected dividend, \(D_{1},\) is \(\$ 3.50,\) and the dividend is expected to grow at a constant rate of 6 percent per year. The target capital structure consists of 75 percent common stock, 15 percent debt, and 10 percent preferred stock a. What is the cost of each of the capital components? b. What is Adams's WACC? c. Which projects should Adams accept?

Coleman Technologies is considering a major expansion program that has been proposed by the company's information technology group. Before proceeding with the expansion, the company must estimate its cost of capital. Assume that you are an assistant to Jerry Lehman, the financial vice president. Your first task is to estimate Coleman's cost of capital. Lehman has provided you with the following data, which he believes may be relevant to your task. (1) The firm's tax rate is 40 percent. (2) The current price of Coleman's 12 percent coupon, semiannual payment, noncallable bonds with 15 years remaining to maturity is \(\$ 1,153.72 .\) Coleman does not use short-term interest-bearing debt on a permanent basis. New bonds would be privately placed with no flotation cost. (3) The current price of the firm's 10 percent, \$100 par value, quarterly dividend, perpetual preferred stock is \(\$ 111.10\) (4) Coleman's common stock is currently selling for \(\$ 50\) per share. Its last dividend (D \(_{0}\) ) was \(\$ 4.19\), and dividends are expected to grow at a constant rate of 5 percent in the foreseeable future. Coleman's beta is 1.2 the yield on T-bonds is 7 percent, and the market risk premium is estimated to be 6 percent. For the bondyield-plus-risk-premium approach, the firm uses a risk premium of 4 percent. (5) Coleman's target capital structure is 30 percent debt, 10 percent preferred stock, and 60 percent common equity. To structure the task somewhat, Lehman has asked you to answer the following questions. a. \(\quad\) (1) What sources of capital should be included when you estimate Coleman's WACC? (2) Should the component costs be figured on a before-tax or an after-tax basis? (3) Should the costs be historical (embedded) costs or new (marginal) costs? b. What is the market interest rate on Coleman's debt and its component cost of debt? c. \(\quad(1)\) What is the firm's cost of preferred stock? (2) Coleman's preferred stock is riskier to investors than its debt, yet the preferred's yield to investors is lower than the yield to maturity on the debt. Does this suggest that you have made a mistake? (Hint: Think about taxes.) d. (1) Why is there a cost associated with retained earnings? (2) What is Coleman's estimated cost of common equity using the CAPM approach? e. What is the estimated cost of common equity using the DCF approach? f. What is the bond-yield-plus-risk-premium estimate for Coleman's cost of common equity? g. What is your final estimate for \(r_{s}\) ? h. Explain in words why new common stock has a higher cost than retained earnings. i. (1) What are two approaches that can be used to adjust for flotation costs? (2) Coleman estimates that if it issues new common stock, the flotation cost will be 15 percent. Coleman incorporates the flotation costs into the DCF approach. What is the estimated cost of newly issued common stock, considering the flotation cost? j. What is Coleman's overall, or weighted average, cost of capital (WACC)? Ignore flotation costs. k. What factors influence Coleman's composite WACC? 1\. Should the company use the composite WACC as the hurdle rate for each of its projects? Explain.

cost of preferred stock Tunney Industries can issue perpetual preferred stock at a price of \(\$ 47.50\) a share. The stock would pay a constant annual dividend of \(\$ 3.80\) a share. What is the company's cost of preferred stock, \(r_{p} ?\)

Sidman Products' common stock currently sells for \(\$ 60\) a share. The firm is expected to earn \(\$ 5.40\) per share this year and to pay a year-end dividend of \(\$ 3.60,\) and it finances only with common equity. a. If investors require a 9 percent return, what is the expected growth rate? b. If Sidman reinvests retained earnings in projects whose average return is equal to the stock's expected rate of return, what will be next year's EPS? [Hint: \(\mathrm{g}=(1-\) Payout \(\text { rate } )(\mathrm{ROE}) .]\)

The Evanec Company's next expected dividend, \(\mathrm{D}_{1},\) is \(\$ 3.18 ;\) its growth rate is 6 percent; and its common stock now sells for \(\$ 36 .\) New stock (external equity) can be sold to net \(\$ 32.40\) per share. a. What is Evanec's cost of retained earnings, \(r_{s} ?\) b. What is Evanec's percentage flotation cost, F? c. What is Evanec's cost of new common stock, \(r_{e}\) ?

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