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# Common stock.ppt

Common stock valuation

Common stock valuation

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## Weitere Verwandte Inhalte

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### Common stock.ppt

2. 2. 6-2 Learning Objectives Separate yourself from the commoners by having a good Understanding of these security valuation methods: 1. The basic dividend discount model. 2. The two-stage dividend growth model. 3. The residual income model. 4. Price ratio analysis.
3. 3. 6-3 Common Stock Valuation • Our goal in this chapter is to examine the methods commonly used by financial analysts to assess the economic value of common stocks. • These methods are grouped into three categories: – Dividend discount models – Residual Income models – Price ratio models
4. 4. 6-4 Security Analysis: Be Careful Out There • Fundamental analysis is a term for studying a company’s accounting statements and other financial and economic information to estimate the economic value of a company’s stock. • The basic idea is to identify “undervalued” stocks to buy and “overvalued” stocks to sell. • In practice however, such stocks may in fact be correctly priced for reasons not immediately apparent to the analyst.
5. 5. 6-5 The Dividend Discount Model • The Dividend Discount Model (DDM) is a method to estimate the value of a share of stock by discounting all expected future dividend payments. The basic DDM equation is: • In the DDM equation: – P0 = the present value of all future dividends – Dt = the dividend to be paid t years from now – k = the appropriate risk-adjusted discount rate        T T 3 3 2 2 1 0 k 1 D k 1 D k 1 D k 1 D P         
6. 6. 6-6 Example: The Dividend Discount Model • Suppose that a stock will pay three annual dividends of \$200 per year, and the appropriate risk-adjusted discount rate, k, is 8%. • In this case, what is the value of the stock today?             \$515.42 0.08 1 \$200 0.08 1 \$200 0.08 1 \$200 P k 1 D k 1 D k 1 D P 3 2 0 3 3 2 2 1 0             
7. 7. 6-7 The Dividend Discount Model: the Constant Growth Rate Model • Assume that the dividends will grow at a constant growth rate g. The dividend next period (t + 1) is: • For constant dividend growth for “T” years, the DDM formula becomes: g k if D T P g k if k 1 g 1 1 g k g) (1 D P 0 0 T 1 0                           g) (1 g) (1 D g) (1 D D So, g 1 D D 0 1 2 t 1 t            
8. 8. 6-8 Example: The Constant Growth Rate Model • Suppose the current dividend is \$10, the dividend growth rate is 10%, there will be 20 yearly dividends, and the appropriate discount rate is 8%. • What is the value of the stock, based on the constant growth rate model?   \$243.86 1.08 1.10 1 .10 .08 1.10 \$10 P k 1 g 1 1 g k g) (1 D P 20 0 T 0 0                                       
9. 9. 6-9 The Dividend Discount Model: the Constant Perpetual Growth Model. • Assuming that the dividends will grow forever at a constant growth rate g. • For constant perpetual dividend growth, the DDM formula becomes:   k) g : (Important g k D g k g 1 D P 1 0 0       
10. 10. 6-10 Example: Constant Perpetual Growth Model • Think about the electric utility industry. • In 2007, the dividend paid by the utility company, DTE Energy Co. (DTE), was \$2.12. • Using D0 =\$2.12, k = 6.7%, and g = 2%, calculate an estimated value for DTE. Note: the actual mid-2007 stock price of DTE was \$47.81. What are the possible explanations for the difference?   \$46.01 .02 .067 1.02 \$2.12 P0    
11. 11. 6-11 The Dividend Discount Model: Estimating the Growth Rate • The growth rate in dividends (g) can be estimated in a number of ways: – Using the company’s historical average growth rate. – Using an industry median or average growth rate. – Using the sustainable growth rate.
12. 12. 6-12 The Historical Average Growth Rate • Suppose the Broadway Joe Company paid the following dividends: – 2002: \$1.50 2005: \$1.80 – 2003: \$1.70 2006: \$2.00 – 2004: \$1.75 2007: \$2.20 • The spreadsheet below shows how to estimate historical average growth rates, using arithmetic and geometric averages. Year: Dividend: Pct. Chg: 2007 \$2.20 10.00% 2006 \$2.00 11.11% 2005 \$1.80 2.86% Grown at 2004 \$1.75 2.94% Year: 7.96%: 2003 \$1.70 13.33% 2002 \$1.50 2002 \$1.50 2003 \$1.62 2004 \$1.75 8.05% 2005 \$1.89 2006 \$2.04 7.96% 2007 \$2.20 Arithmetic Average: Geometric Average:
13. 13. 6-13 The Sustainable Growth Rate • Return on Equity (ROE) = Net Income / Equity • Payout Ratio = Proportion of earnings paid out as dividends • Retention Ratio = Proportion of earnings retained for investment Ratio) Payout - (1 ROE Ratio Retention ROE Rate Growth e Sustainabl    
14. 14. 6-14 Example: Calculating and Using the Sustainable Growth Rate • In 2007, American Electric Power (AEP) had an ROE of 10.17%, projected earnings per share of \$2.25, and a per-share dividend of \$1.56. What was AEP’s: – Retention rate? – Sustainable growth rate? • Payout ratio = \$1.56 / \$2.25 = .693 • So, retention ratio = 1 – .693 = .307 or 30.7% • Therefore, AEP’s sustainable growth rate = .1017  .307 = .03122, or 3.122%
15. 15. 6-15 Example: Calculating and Using the Sustainable Growth Rate, Cont. • What is the value of AEP stock, using the perpetual growth model, and a discount rate of 6.7%? • The actual mid-2007 stock price of AEP was \$45.41. • In this case, using the sustainable growth rate to value the stock gives a reasonably accurate estimate. • What can we say about g and k in this example?   \$44.96 .03122 .067 1.03122 \$1.56 P     0
16. 16. 6-16 The Two-Stage Dividend Growth Model • The two-stage dividend growth model assumes that a firm will initially grow at a rate g1 for T years, and thereafter grow at a rate g2 < k during a perpetual second stage of growth. • The Two-Stage Dividend Growth Model formula is: 2 2 0 T 1 T 1 1 1 0 g k ) g (1 D k 1 g 1 k 1 g 1 1 g k ) g (1 D P                                0
17. 17. 6-17 Using the Two-Stage Dividend Growth Model, I. • Although the formula looks complicated, think of it as two parts: – Part 1 is the present value of the first T dividends (it is the same formula we used for the constant growth model). – Part 2 is the present value of all subsequent dividends. • So, suppose MissMolly.com has a current dividend of D0 = \$5, which is expected to shrink at the rate, g1 = 10% for 5 years, but grow at the rate, g2 = 4% forever. • With a discount rate of k = 10%, what is the present value of the stock?
18. 18. 6-18 Using the Two-Stage Dividend Growth Model, II. • The total value of \$46.03 is the sum of a \$14.25 present value of the first five dividends, plus a \$31.78 present value of all subsequent dividends. \$46.03. \$31.78 \$14.25 0.04 0.10 0.04) \$5.00(1 0.10 1 0.90 0.10 1 0.90 1 0.10) ( 0.10 ) \$5.00(0.90 P g k ) g (1 D k 1 g 1 k 1 g 1 1 g k ) g (1 D P 5 5 2 2 0 T 1 T 1 1 1 0                                                                0 0
19. 19. 6-19 Example: Using the DDM to Value a Firm Experiencing “Supernormal” Growth, I. • Chain Reaction, Inc., has been growing at a phenomenal rate of 30% per year. • You believe that this rate will last for only three more years. • Then, you think the rate will drop to 10% per year. • Total dividends just paid were \$5 million. • The required rate of return is 20%. • What is the total value of Chain Reaction, Inc.?
20. 20. 6-20 Example: Using the DDM to Value a Firm Experiencing “Supernormal” Growth, II. • First, calculate the total dividends over the “supernormal” growth period: • Using the long run growth rate, g, the value of all the shares at Time 3 can be calculated as: P3 = [D3 x (1 + g)] / (k – g) P3 = [\$10.985 x 1.10] / (0.20 – 0.10) = \$120.835 Year Total Dividend: (in \$millions) 1 \$5.00 x 1.30 = \$6.50 2 \$6.50 x 1.30 = \$8.45 3 \$8.45 x 1.30 = \$10.985
21. 21. 6-21 Example: Using the DDM to Value a Firm Experiencing “Supernormal” Growth, III. • Therefore, to determine the present value of the firm today, we need the present value of \$120.835 and the present value of the dividends paid in the first 3 years:                 million. \$87.58 \$69.93 \$6.36 \$5.87 \$5.42 0.20 1 \$120.835 0.20 1 \$10.985 0.20 1 \$8.45 0.20 1 \$6.50 P k 1 P k 1 D k 1 D k 1 D P 3 3 2 3 3 3 3 2 2 1                      0 0
22. 22. 6-22 Discount Rates for Dividend Discount Models • The discount rate for a stock can be estimated using the capital asset pricing model (CAPM ). • We will discuss the CAPM in a later chapter. • However, we can estimate the discount rate for a stock using this formula: Discount rate = time value of money + risk premium = U.S. T-bill Rate + (Stock Beta x Stock Market Risk Premium) T-bill Rate: return on 90-day U.S. T-bills Stock Beta: risk relative to an average stock Stock Market Risk Premium: risk premium for an average stock
23. 23. 6-23 Observations on Dividend Discount Models, I. Constant Perpetual Growth Model: • Simple to compute • Not usable for firms that do not pay dividends • Not usable when g > k • Is sensitive to the choice of g and k • k and g may be difficult to estimate accurately. • Constant perpetual growth is often an unrealistic assumption.
24. 24. 6-24 Observations on Dividend Discount Models, II. Two-Stage Dividend Growth Model: • More realistic in that it accounts for two stages of growth • Usable when g > k in the first stage • Not usable for firms that do not pay dividends • Is sensitive to the choice of g and k • k and g may be difficult to estimate accurately.
25. 25. 6-25 Residual Income Model (RIM), I. • We have valued only companies that pay dividends. – But, there are many companies that do not pay dividends. – What about them? – It turns out that there is an elegant way to value these companies, too. • The model is called the Residual Income Model (RIM). • Major Assumption (known as the Clean Surplus Relationship, or CSR): The change in book value per share is equal to earnings per share minus dividends.
26. 26. 6-26 Residual Income Model (RIM), II. • Inputs needed: – Earnings per share at time 0, EPS0 – Book value per share at time 0, B0 – Earnings growth rate, g – Discount rate, k • There are two equivalent formulas for the Residual Income Model: g k g B EPS P or g k k B g) (1 EPS B P 0 1 0 0 0 0 0           BTW, it turns out that the RIM is mathematically the same as the constant perpetual growth model.
27. 27. 6-27 Using the Residual Income Model. • Superior Offshore International, Inc. (DEEP) • It is July 1, 2007—shares are selling in the market for \$10.94. • Using the RIM: – EPS0 = \$1.20 – DIV = 0 – B0 = \$5.886 – g = 0.09 – k = .13 • What can we say about the market price of DEEP? \$19.46. .04 \$.7652 \$1.308 \$5.886 P .09 .13 .13 \$5.886 .09) (1 \$1.20 \$5.886 P g k k B g) (1 EPS B P 0 0 0 0 0 0                  
28. 28. 6-28 DEEP Growth • Using the information from the previous slide, what growth rate results in a DEEP price of \$10.94? 3.55%. or .0355 g 6.254g .2222 .4348 1.20g 5.054g \$.6570 .7652 1.20g 1.20 g) (.13 \$5.054 g .13 .13 \$5.886 g) (1 \$1.20 \$5.886 \$10.94 g k k B g) (1 EPS B P 0 0 0 0                        
29. 29. 6-29 Price Ratio Analysis, I. • Price-earnings ratio (P/E ratio) – Current stock price divided by annual earnings per share (EPS) • Earnings yield – Inverse of the P/E ratio: earnings divided by price (E/P) • High-P/E stocks are often referred to as growth stocks, while low-P/E stocks are often referred to as value stocks.
30. 30. 6-30 Price Ratio Analysis, II. • Price-cash flow ratio (P/CF ratio) – Current stock price divided by current cash flow per share – In this context, cash flow is usually taken to be net income plus depreciation. • Most analysts agree that in examining a company’s financial performance, cash flow can be more informative than net income. • Earnings and cash flows that are far from each other may be a signal of poor quality earnings.
31. 31. 6-31 Price Ratio Analysis, III. • Price-sales ratio (P/S ratio) – Current stock price divided by annual sales per share – A high P/S ratio suggests high sales growth, while a low P/S ratio suggests sluggish sales growth. • Price-book ratio (P/B ratio) – Market value of a company’s common stock divided by its book (accounting) value of equity – A ratio bigger than 1.0 indicates that the firm is creating value for its stockholders.
32. 32. 6-32 Price/Earnings Analysis, Intel Corp. Intel Corp (INTC) - Earnings (P/E) Analysis 5-year average P/E ratio 27.30 Current EPS \$.86 EPS growth rate 8.5% Expected stock price = historical P/E ratio  projected EPS \$25.47 = 27.30  (\$.86  1.085) Mid-2007 stock price = \$24.27
33. 33. 6-33 Price/Cash Flow Analysis, Intel Corp. Intel Corp (INTC) - Cash Flow (P/CF) Analysis 5-year average P/CF ratio 14.04 Current CFPS \$1.68 CFPS growth rate 7.5% Expected stock price = historical P/CF ratio  projected CFPS \$25.36 = 14.04  (\$1.68  1.075) Mid-2007 stock price = \$24.27
34. 34. 6-34 Price/Sales Analysis, Intel Corp. Intel Corp (INTC) - Sales (P/S) Analysis 5-year average P/S ratio 4.51 Current SPS \$6.14 SPS growth rate 7% Expected stock price = historical P/S ratio  projected SPS \$29.63 = 4.51  (\$6.14  1.07) Mid-2007 stock price = \$24.27
35. 35. 6-35 An Analysis of the McGraw-Hill Company The next few slides contain a financial analysis of the McGraw-Hill Company, using data from the Value Line Investment Survey.
36. 36. 6-36 The McGraw-Hill Company Analysis, I.
37. 37. 6-37 The McGraw-Hill Company Analysis, II.
38. 38. 6-38 The McGraw-Hill Company Analysis, III. • Based on the CAPM, k = 3.1% + (.80  9%) = 10.3% • Retention ratio = 1 – \$.66/\$2.65 = .751 • Sustainable g = .751  23% = 17.27% • Because g > k, the constant growth rate model cannot be used. (We would get a value of -\$11.10 per share)
39. 39. 6-39 The McGraw-Hill Company Analysis (Using the Residual Income Model, I) • Let’s assume that “today” is January 1, 2008, g = 7.5%, and k = 12.6%. • Using the Value Line Investment Survey (VL), we can fill in column two (VL) of the table below. • We use column one and our growth assumption for column three (CSR) of the table below. End of 2007 2008 (VL) 2008 (CSR) Beginning BV per share NA \$6.50 \$6.50 EPS \$3.05 \$3.45 \$3.2788 DIV \$.82 \$.82 \$2.7913 Ending BV per share \$6.50 \$9.25 \$6.9875 1.075 3.05 1.075 6.50 6.50) - (6.9875 - 3.2788 Plug" " 
40. 40. 6-40 The McGraw-Hill Company Analysis (Using the Residual Income Model, II) • Using the CSR assumption: • Using Value Line numbers for EPS1=\$3.45, B1=\$9.25 B0=\$6.50; and using the actual change in book value instead of an estimate of the new book value, (i.e., B1-B0 is = B0 x k) \$54.73. P .075 .126 .126 \$6.50 .075) (1 \$3.05 \$6.50 P g k k B g) (1 EPS B P 0 0 0 0 0 0                \$20.23 P .075 .126 6.50) - (\$9.25 \$3.45 \$6.50 P g k k B g) (1 EPS B P 0 0 0 0 0 0             Stock price at the time = \$57.27. What can we say?
41. 41. 6-41 The McGraw-Hill Company Analysis, IV.
42. 42. 6-42 Useful Internet Sites • www.nyssa.org (the New York Society of Security Analysts) • www.aaii.com (the American Association of Individual Investors) • www.eva.com (Economic Value Added) • www.valueline.com (the home of the Value Line Investment Survey) • Websites for some companies analyzed in this chapter: • www.aep.com • www.americanexpress.com • www.pepsico.com • www.intel.com • www.corporate.disney.go.com • www.mcgraw-hill.com
43. 43. 6-43 Chapter Review, I. • Security Analysis: Be Careful Out There • The Dividend Discount Model – Constant Dividend Growth Rate Model – Constant Perpetual Growth – Applications of the Constant Perpetual Growth Model – The Sustainable Growth Rate
44. 44. 6-44 Chapter Review, II. • The Two-Stage Dividend Growth Model – Discount Rates for Dividend Discount Models – Observations on Dividend Discount Models • Residual Income Model (RIM) • Price Ratio Analysis – Price-Earnings Ratios – Price-Cash Flow Ratios – Price-Sales Ratios – Price-Book Ratios – Applications of Price Ratio Analysis • An Analysis of the McGraw-Hill Company