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WACC Midwest Electric Company (MEC) uses only debt and common equity. It can borrow unlimited amounts at an interest rate of \(\mathrm{r}_{\mathrm{d}}=10 \%\) as long as it finances at its target capital structure, which calls for \(45 \%\) debt and \(55 \%\) common equity. Its last dividend was \(\$ 2,\) its expected constant growth rate is \(4 \%,\) and its common stock sells for \(\$ 20 .\) MEC's tax rate is \(40 \%\). Two projects are available: Project \(A\) has a rate of return of \(13 \%\), while Project B's return is \(10 \%\). These two projects are equally risky and about as risky as the firm's existing assets. a. What is its cost of common equity? b. What is the WACC? c. Which projects should Midwest accept?

Short Answer

Expert verified
a) 10.4% b) 8.42% c) Accept both projects A and B.

Step by step solution

01

Calculate the Cost of Common Equity

To find the cost of common equity for MEC, we can use the Gordon Growth Model, which is a version of the Dividend Discount Model (DDM). The formula is:\[ r_s = \frac{D_1}{P_0} + g \]where \( D_1 \) is the expected dividend next year, \( P_0 \) is the current stock price, and \( g \) is the growth rate. Given that the last dividend \( D_0 \) was \$2 and the growth rate \( g \) is 4%, we estimate \( D_1 \) as follows:\[ D_1 = D_0 \times (1 + g) = 2 \times (1 + 0.04) = 2.08 \]Given the current stock price \( P_0 = 20 \), we can calculate:\[ r_s = \frac{2.08}{20} + 0.04 = 0.104 \text{ or } 10.4\% \]
02

Calculate the Weighted Average Cost of Capital (WACC)

The WACC is calculated using the formula:\[ \text{WACC} = w_d \times r_d \times (1 - T) + w_e \times r_s \]where:- \( w_d = \text{weight of debt} = 0.45 \)- \( r_d = \text{cost of debt} = 10\% \)- \( T = \text{tax rate} = 40\% = 0.40 \)- \( w_e = \text{weight of equity} = 0.55 \)- \( r_s = \text{cost of equity} = 10.4\% = 0.104 \)Substitute the values into the formula:\[ \text{WACC} = 0.45 \times 0.10 \times (1 - 0.40) + 0.55 \times 0.104 \]\[ \text{WACC} = 0.45 \times 0.10 \times 0.60 + 0.55 \times 0.104 \]\[ \text{WACC} = 0.027 + 0.0572 = 0.0842 \text{ or } 8.42\% \]
03

Project Evaluation and Decision

Now that we have the WACC, compare it against the rates of return for Projects A and B. - Project A has a rate of return of 13%, which is greater than the WACC of 8.42%. - Project B has a rate of return of 10%, which is also greater than the WACC of 8.42%. Both projects offer a return that exceeds the company's cost of capital. Therefore, Midwest Electric Company should accept both projects.

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Key Concepts

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

Cost of Common Equity
The cost of common equity represents the return that a company must earn on its equity-financed investments to maintain its stock price. It reflects the compensation investors expect for their investment risk. Calculating this figure helps a firm to gauge how much return needs to be generated by projects that are financed through equity. Here, the Midwest Electric Company (MEC) uses the Dividend Discount Model (DDM), also known as the Gordon Growth Model, to determine their cost of common equity. This model estimates the cost of equity capital when the dividends are expected to grow at a constant rate. To find it, you apply the formula: \[ r_s = \frac{D_1}{P_0} + g \] where
  • \(D_1\) is the expected dividend in the next period (calculated as the last dividend \(D_0\) multiplied by \(1 + g\), the growth rate).
  • \(P_0\) is the current price of the stock.
  • \(g\) is the expected growth rate of dividends.
For MEC,
  • \(D_0\) was \\(2, and with a growth rate \(g\) of 4%, \(D_1\) becomes \\)2.08.
  • With a stock price \(P_0\) of \$20, the cost of common equity, \(r_s\), is \(10.4\%\).
Dividend Discount Model (DDM)
The Dividend Discount Model is pivotal in determining the cost of equity. It assesses a stock's value based on its expected future dividends, which makes it very useful. This model is built on the premise that a stock is worth the sum of all its future dividend payments, discounted back to its present value. The simplicity of the DDM makes it widely used, although it assumes a constant growth rate. There are key assumptions in the model:
  • The company will continue to pay dividends perpetually.
  • The rate of growth for dividends is constant.
  • The expected rate of return stays above the growth rate.
While these assumptions align well with stable companies like MEC, they may not fit with firms experiencing rapid growth or highly variable dividends. Still, when applicable, the DDM offers a straightforward way to find out how much investors are justified in expecting in returns, as this directly impacts their willingness to buy the stock.
Project Evaluation
Project evaluation involves determining which ventures or investments will bring value to a company. For MEC, the project's returns need to be compared to the Weighted Average Cost of Capital (WACC). WACC is important because it represents the average rate a company needs to pay to finance its assets. Hence, any project must generate returns greater than the WACC to be considered financially beneficial. To elaborate:
  • Project A has a return of 13%, which exceeds the calculated WACC of 8.42%.
  • Project B has a return of 10%, which also surpasses the WACC.
  • Both projects, by surpassing the WACC threshold, are deemed viable and beneficial investments.
Choosing these projects means MEC will be using their funds efficiently to add value. This evaluation process underscores the importance of aligning project returns with cost of capital to ensure shareholder wealth is maximized.

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Most popular questions from this chapter

Javits \& Sons' common stock currently trades at \(\$ 30.00\) a share. It is expected to pay an annual dividend of \(\$ 3.00\) a share at the end of the year \(\left(\mathrm{D}_{1}=\$ 3.00\right),\) and the constant growth rate is \(5 \%\) a year. a. What is the company's cost of common equity if all of its equity comes from retained earnings? b. If the company issued new stock, it would incur a \(10 \%\) flotation cost. What would be the cost of equity from new stock?

CALCULATING THE WACC Here is the condensed 2008 balance sheet for Skye Computer Company (in thousands of dollars): Skye's earnings per share last year were \(\$ 3.20\), the common stock sells for \(\$ 55.00\), last year's dividend was \(\$ 2.10,\) and a flotation cost of \(10 \%\) would be required to sell new common stock. Security analysts are projecting that the common dividend will grow at a rate of \(9 \%\) per year. Skye's preferred stock pays a dividend of \(\$ 3.30\) per share, and new preferred could be sold at a price to net the company \(\$ 30.00\) per share. The firm can issue long-term debt at an interest rate (or before-tax cost) of \(10 \%\), and its marginal tax rate is \(35 \%\). The market risk premium is \(5 \%\), the risk-free rate is \(6 \%\), and Skye's beta is 1.516 . In its cost of capital calculations, the company considers only long-term capital; hence, it disregards current liabilities. a. Calculate the cost of each capital component, that is, the after-tax cost of debt, the cost of preferred stock, the cost of equity from retained earnings, and the cost of newly issued common stock. Use the DCF method to find the cost of common equity. b. Now calculate the cost of common equity from retained earnings using the CAPM method. c. What is the cost of new common stock based on the CAPM? (Hint: Find the difference between \(r_{e}\) and \(r_{s}\) as determined by the DCF method and add that differential to the CAPM value for \(r_{s^{2}}\) d. If Skye continues to use the same capital structure, what is the firm's WACC assuming that (1) it uses only retained earnings for equity? (2) If it expands so rapidly that it must issue new common stock?

WACC AND OPTIMAL CAPITAL BUDGET Adams Corporation is considering four averagerisk projects with the following costs and rates of return: The company estimates that it can issue debt at a rate of \(\mathrm{r}_{\mathrm{d}}=10 \%,\) and its tax rate is \(30 \%\) It can issue preferred stock that pays a constant dividend of \(\$ 5.00\) per year at \(\$ 49.00\) per share, Also, its common stock currently sells for \(\$ 36.00\) per share; the next expected dividend, \(D_{1},\) is \(\$ 3.50 ;\) and the dividend is expected to grow at a constant rate of \(6 \%\) per year. The target capital structure consists of \(75 \%\) common stock, \(15 \%\) debt, and \(10 \%\) preferred stock. a. What is the cost of each of the capital components? b. What is Adams' WACC? c. Only projects with expected returns that exceed WACC will be accepted. Which projects should Adams accept?

Percy Motors has a target capital structure of \(40 \%\) debt and \(60 \%\) common equity, with no preferred stock. The yield to maturity on the company's outstanding bonds is \(9 \%\), and its tax rate is \(40 \%\). Percy's CFO estimates that the company's WACC is \(9.96 \%\). What is Percy's cost of common equity?

The Evanec Company's next expected dividend, \(D_{1},\) is \(\$ 3.18 ;\) its growth rate is \(6 \% ;\) and its common stock now sells for \(\$ 36.00 .\) New stock (external equity) can be sold to net \(\$ 32.40\) per share. a. What is Evanec's cost of retained earnings, \(r_{B}\) ? b. What is Evanec's percentage flotation cost, \(\mathrm{F}\) ? c. What is Evanec's cost of new common stock, \(r_{c}\) ?

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