Module 6 - Stock Valuation and Weighted Average Cost of Capital (Chapters Seven and Nine)
All page numbers are references to Corporate Finance: A Focused Approach, 5th edition by Ehrhardt and Brigham (Cengage, 2013)
Chapter 7 applies Chapter 4 Time Value of Money techniques to the valuation of common stock and preferred stock.
Need to Absorb - The attributes of common stocks including the rights of shareholders, how to use the Constant Growth Model, how to value non-constant growth stocks, and the attributes and valuation of preferred stock. On exams, this chapter almost always calculations to include a CAPM problem, a constant growth stock valuation problem, a non-constant growth valuation problem.
Do not need to Absorb - Types of common stock in (7.2) and stock market reporting (7.3), I am unlikely to ask on exams about stock valuation using multiples or Free Cash Flow Valuation (these are fair game for quizzes).
Need to Read - Read the Chapter.
Need to Do - Make 100 on the Quiz. You should be able to answer all of the end of chapter questions and problems. Note, virtually all of the end of chapter problems have been used on past quizzes and exams. Problems 7, 17, and 18 would not be on an Exam.
Calculator links, if needed.
Simple and useful instructions for most calculators
1. Watch the Chapter Introduction and Overview video. The Powerpoints for all of this chapter's videos are located here.
2. Read pages 289-301. I strongly suggest you watch the Stock Valuation Concepts and Constant Growth Model video. After this video, you should be able to solve problems 1-4, 8-11, 14, and 19.
5. Read pages 301-304 to learn about valuing Non-constant Growth stocks.
5. Watch the Valuing Non-Constant Growth Stocks video. After this video, you should be able to solve problems 5, 13, 14, 20 and 21.
6. Read the rest of the chapter.
7. If you feel the need, watch the Free Cash Flow and Market Multiple Valuation video. This also covers features of preferred stock.
8. Solve the remaining problems listed at the top of the page. You can find the solutions to these problems on our D2L page. If you need additional instruction, here are audio solutions to the most common types of stock valuation problems:
a. Audio solution to: Timeless Corporation issued preferred stock with a par value of $700. The stock promised to pay an annual dividend equal to 19.0% of the par value. If the appropriate discount rate for this stock is 10.0%, what is the value of the stock?
b. Audio solution to: Forever, Inc's preferred stock has a par value of $1,000 and a dividend equal to 13.0% of the par value. The stock is currently selling for $907.00. What discount rate is being used to value the stock?
c. Audio solution to: Here and After Corporation plans a new issue of preferred stock. Similar risk stock currently offers an annual return to investors of 17.0%. The company wants the stock to sell for $569.00 per share. What annual dividend must the company offer?
d. Audio solution to: You are considering buying common stock in Grow On, Inc. The firm yesterday paid a dividend of $5.20. You have projected that dividends will grow at a rate of 8.0% per year indefinitely. If you want an annual return of 20.0%, what is the most you should pay for the stock now?
e. Audio solution to: You are considering buying common stock in Grow On, Inc. You have projected that the next dividend the company will pay will equal $4.00 and that dividends will grow at a rate of 5.0% per year thereafter. If you would want an annual return of 13.0% to invest in this stock, what is the most you should pay for the stock now?
f. Audio solution to: Growing, Inc. is a firm that is experiencing rapid growth. The firm yesterday paid a dividend of $7.50. You believe that dividends will grow at a rate of 24.0% per year for two years, and then at a rate of 5.0% per year thereafter. You expect an annual rate of return of 18.0% on this investment. If you plan to hold the stock indefinitely, what is the most you would pay for the stock now?
g. Audio solution to: Growing, Inc. is a firm that is experiencing rapid growth. The firm yesterday paid a dividend of $5.60. You believe that dividends will grow at a rate of 24.0% per year for three years, and then at a rate of 10.0% per year thereafter. You expect an annual rate of return of 18.0% on this investment. If you plan to hold the stock indefinitely, what is the most you would pay for the stock now?
h. Audio solution to: Growing, Inc. is a firm that is experiencing rapid growth. The firm yesterday paid a dividend of $8.00. You believe that dividends will grow at a rate of 22.0% per year for years one and two, 15.0% per year for years three and four, and then at a rate of 9.0% per year thereafter. If you expect an annual rate of return of 21.0% on this investment, what is the most you would pay for the stock now?
i. Audio solution to: You are considering buying common stock in Grow On, Inc. You have calculated that the firm's free cash flow was $8.10 million last year. You project that free cash flow will grow at a rate of 6.0% per year indefinitely. The firm currently has outstanding debt and preferred stock with a total market value of $9.22 million. The firm has 1.20 million shares of common stock outstanding. If the firm's cost of capital is 25.0%, what is the most you should pay per share for the stock now?
j. Audio solution to: You are considering buying common stock in Super Growth, Inc. You have calculated that the firm's free cash flow was $6.20 million last year. You project that free cash flow will grow at a rate of 20.0% per year for the next three years, and then 6.0% per year indefinitely thereafter. The firm currently has outstanding debt and preferred stock with a total market value of $26.60 million. The firm has 1.68 million shares of common stock outstanding. If the firm's cost of capital is 19.0%, what is the most you should pay per share for the stock now?
9. Be prepared for a 60 minute quiz, with roughly 14 questions. The name of the quiz is Chapter 7.
Chapter 9
Weighted Average Cost of Capital - This chapter applies Chapter 6 Risk and Return concepts to the Balance Sheet of Corporations. The basic task is to calculate the return on a portfolio, where the portfolio consists of the securities issued by a single company (i.e., their long term debt and equity). This is a review chapter in that we apply techniques previously learned in Chapters 5-7.
Need to Absorb - All of the general material to estimate Cost of Capital, including after-tax cost of debt, cost of preferred stock, and the two methods of calculating the cost of common equity. Understand how to calculate all of the components of equation 9-2 on page 359. You should be able to convert a book value balance sheet to a market value balance sheet. You should be able to calculate the Weights in the equation using a market value balance sheet. Pay particular attention to the concepts related to risk and return, as this topic is often the source of concept questions. Section 11b discusses how to make project and division WACC adjustments, and is often a source of exam questions. Section 12 is a good source of concept questions. I will use this chapter to relate Risk and Return for Capital Budgeting problems, so expect to see this again in Chapter 10 and 11 materials in the quizzes.
Do not need to Absorb - Section 10 on WACC for small and private companies. Section 11a on factors the firm cannot control. It is highly unlikely we will ask Final Exam questions where the firm needs to issue new common equity, thus calculating the Cost of Common Equity with adjustments for flotation costs should have a low priority. Flotation costs could appear in quiz questions.
Need to Read - Read the Chapter.
Need to Do - Make 100 on the quiz. Be able to solve Concept Review Questions 1-5 (all of them), and Problems 1-12, 15-17 (ignoring issues related to flotation costs). For my face to face classes, my Final Exam questions are often similar to Self-Test 1 and Problems 15 or 16. For my on line classes, the questions are more likely to be 3-4 separate questions, such as Problems 3, 5, 6, 7, 8, 9.
Calculator links: Most Calculator Types
1. Watch the Chapter Introduction and Overview video. The Powerpoints for all of this chapter's videos are located here.
2. Read pages 357-366.
3. Watch the video, WACC Overview, Costs of Debt, and Cost of Preferred Stock. After this video, you should be able to answer end of chapter Questions 1 and 2 and Problems 1, 2, and 9.
4. Read pages 367-374.
5. Watch the video Costs of Common Stock. After this video, you should be able to answer end of chapter Questions 3 and 4 and Problems 3-6, and 10-12.
6. Read pages 375-377.
7. Watch the video Weights and Calculations of the WACC. After this video, you should be able to solve Problems 15 and 16.
8. Read the remaining part of the chapter.
9. Watch the video on Adjusting for Project Risk, Divisional Costs of Capital, and Odds and Ends. After this video, you should be able to solve the remaining suggested questions and problems.
10. Here are audio solutions, courtesy of Dr. Ronald Best, to problems that are similar to those covered in this chapter;
a. Audio Solution to: Costly Corporation plans a new issue of bonds with a par value of $1,000, a maturity of 28 years, and an annual coupon rate of 16.0%. Flotation costs associated with a new debt issue would equal 9.0% of the market value of the bonds. Currently, the appropriate discount rate for bonds of firms similar to Costly is 17.0%. The firm's marginal tax rate is 30%. What will the firm's true cost of debt be for this new bond issue?
b. Audio Solution to: Costly Corporation is also considering using a new preferred stock issue. The preferred would have a par value of $400 with an annual dividend equal to 18.0% of par. The company believes that the market value of the stock would be $968.00 per share with flotation costs of $68.00 per share. The firm's marginal tax rate is 40%. What would the firm's cost of preferred be for this new preferred stock issue?
c. Audio Solution to: Costly Corporation is considering using equity financing. Currently, the firm's stock is selling for $47.00 per share. The firm's dividend for next year is expected to be $3.40 with an annual growth rate of 5.0% thereafter indefinitely. If the firm issues new stock, the flotation costs would equal 14.0% of the stock's market value. The firm's marginal tax rate is 40%. What is the firm's cost of internal equity?
d. Audio Solution to: Costly Corporation is considering using equity financing. Currently, the firm's stock is selling for $31.00 per share. The firm's dividend for next year is expected to be $5.50 with an annual growth rate of 5.0% thereafter indefinitely. If the firm issues new stock, the flotation costs would equal 15.0% of the stock's market value. The firm's marginal tax rate is 40%. What is the firm's cost of external equity?
e. Audio Solution to: Marginal Incorporated (MI) has determined that its before-tax cost of debt is 9.0%. Its cost of preferred stock is 15.0%. Its cost of internal equity is 17.0%, and its cost of external equity is 19.0%. Currently, the firm's capital structure has $378 million of debt, $63 million of preferred stock, and $459 million of common equity. The firm's marginal tax rate is 45%. The firm is currently making projections for next period. Its managers have determined that the firm should have $92 million available from retained earnings for investment purposes next period. What is the firm's marginal cost of capital at a total investment level of $155 million?
f. Audio Solution to: Marginal Incorporated (MI) has determined that its before-tax cost of debt is 9.0%. Its cost of preferred stock is 15.0%. Its cost of internal equity is 17.0%, and its cost of external equity is 19.0%. Currently, the firm's capital structure has $378 million of debt, $63 million of preferred stock, and $459 million of common equity. The firm's marginal tax rate is 45%. The firm is currently making projections for next period. Its managers have determined that the firm should have $92 million available from retained earnings for investment purposes next period. What is the firm's marginal cost of capital at a total investment level of $247 million?
g. Audio Solution to: Marginal Incorporated (MI) has determined that its after-tax cost of debt is 9.0%. Its cost of preferred stock is 15.0%. Its cost of internal equity is 17.0%, and its cost of external equity is 19.0%. Currently, the firm's capital structure has $378 million of debt, $63 million of preferred stock, and $459 million of common equity. The firm's marginal tax rate is 45%. The firm is currently making projections for next period. Its managers have determined that the firm should have $92 million available from retained earnings for investment purposes next period. What is the firm's marginal cost of capital at a total investment level of $157 million?
h. Audio Solution to: Marginal Incorporated (MI) has determined that its after-tax cost of debt is 9.0%. Its cost of preferred stock is 15.0%. Its cost of internal equity is 17.0%, and its cost of external equity is 19.0%. Currently, the firm's capital structure has $378 million of debt, $63 million of preferred stock, and $459 million of common equity. The firm's marginal tax rate is 45%. The firm is currently making projections for next period. Its managers have determined that the firm should have $92 million available from retained earnings for investment purposes next period. What is the firm's marginal cost of capital at a total investment level of $247 million?
i. Audio Solution to: Marginal Incorporated (MI) has determined that its before-tax cost of debt is 7% for the first $112 million in bonds it issues, and 8% for any bonds issued above $112 million. Its cost of preferred stock is 10%. Its cost of internal equity is 14%, and its cost of external equity is 17%. Currently, the firm's capital structure has $400 million of debt, $100 million of preferred stock, and $500 million of common equity. The firm's marginal tax rate is 30%. The firm is currently making projections for next period. Its managers have determined that the firm should have $59 million available from retained earnings for investment purposes next period. What is the firm's marginal cost of capital at each of the following total investment levels? (A) Total investment level of $380 million? (B) Total investment level of $199 million? (C) Total investment level of $69 million?
j. Audio Solution to: Marginal Incorporated (MI) has determined that its after-tax cost of debt is 6% for the first $100 million in bonds it issues, and 8% for any bonds issued above $100 million. Its cost of preferred stock is 9%. Its cost of internal equity is 12%, and its cost of external equity is 14%. Currently, the firm's capital structure has $600 million of debt, $100 million of preferred stock, and $300 million of common equity. The firm's marginal tax rate is 30%. The firm is currently making projections for next period. Its managers have determined that the firm should have $75 million available from retained earnings for investment purposes next period. What is the firm's marginal cost of capital at each of the following total investment levels?(A) Total investment level of $280 million? (B) Total investment level of $200 million? (C) Total investment level of $77 million?
11. Be prepared for a 40-60 minute quiz over Chapter 9.
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