1. 8-1 Stock Valuation Chapter 8 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin

2. 8-2 Chapter Outline Bond and Stock Differences Common Stock Valuation Features of Common Stock Features of Preferred Stock The Stock Markets

3. 8-3 Chapter Outline Bond and Stock Differences Common Stock Valuation Features of Common Stock Features of Preferred Stock The Stock Markets

4. 8-4 Bonds and Stocks: Similarities Both provide long-term funding for the organization Both are future funds that an investor must consider Both have future periodic payments Both can be purchased in a marketplace at a price “today”

5. 8-5 Bonds and Stocks: Differences From the firm’s perspective: a bond is a long-term debt and stock is equity From the firm’s perspective: a bond gets paid off at the maturity date; stock continues indefinitely. We will discuss the mix of bonds (debt) and stock (equity) in a future chapter entitled capital structure

6. 8-6 Bonds and Stocks: Differences A bond has coupon payments and a lump-sum payment; stock has dividend payments forever Coupon payments are fixed; stock dividends change or “grow” over time

7. 8-7 A visual representation of a bond with a coupon payment (C) and a maturity value (M) 12345 $C 1 $C 2 $C 3 $C 4 $C 5 $M

8. 8-8 A visual representation of a share of common stock with dividends (D) forever 12345 $D 1 $D 2 $D 3 $D 4 $D 5 $D ∞ ∞

9. 8-9 Comparison Valuations 123 Bond CCC M P0P0 0 123 Common Stock D1D1 D2D2 D3D3 D∞D∞ P0P0 0

10. 8-10 Notice these differences: The “C’s” are constant and equal The bond ends (year 5 here) There is a lump sum at the end 12345 $C 1 $C 2 $C 3 $C 4 $C 5 $M

11. 8-11 Notice these differences: The dividends are different The stock never ends There is no lump sum 12345 $D 1 $D 2 $D 3 $D 4 $D 5 $D ∞ ∞

12. 8-12 Chapter Outline Bond and Stock Differences Common Stock Valuation Features of Common Stock Features of Preferred Stock The Stock Markets

13. 8-13 Our Task: To value a share of Common Stock

14. 8-14 And how will we accomplish our task?

15. 8-15BringAll Expected Future Earnings Into Present Value Terms

16. 8-16 Just remember:

17. 8-17 Cash Flows for Stockholders If you buy a share of stock, you can receive cash in two ways: 1.The company pays dividends 2. You sell your shares, either to another investor in the market or back to the company

18. 8-18 One-Period Example Receiving one future dividend and one future selling price of a share of common stock

19. 8-19 One-Period Example Suppose you are thinking of purchasing the stock of Moore Oil, Inc. You expect it to pay a $2 dividend in one year, and you believe that you can sell the stock for $14 at that time. If you require a return of 20% on investments of this risk, what is the maximum you would be willing to pay?

20. 8-20 Visually this would look like: 1 D 1 = $2 P 1 = $14 R = 20%

21. 8-21 Compute the Present Value 1 D 1 = $2 P 1 = $14 R = 20% $1.67 $11.67 PV =$13.34

22. 1 year = N 20% = Discount rate $2 = Payment (PMT) $14 = FV PV = ? -13.34 1st 2nd TI BA II Plus 8-22

23. 8-23 $14 = FV 1 year = N $2 = Payment (PMT) 20% = Discount rate PV = ? -13.34 HP 12-C

24. 8-24 Two Period Example Now, what if you decide to hold the stock for two years? In addition to the dividend in one year, you expect a dividend of $2.10 in two years and a stock price of $14.70 at the end of year. Now how much would you be willing to pay?

25. 8-25 Visually this would look like: 2 D 1 = $2 P 2 = $14.70 R = 20% 1 D 2 = $ 2.10

26. 8-26 Compute the Present Value 2 D 1 = $2 P 2 = $14.70 R = 20% 1 D 2 = $ 2.10$1.67 $1.46 $ 10.21 $ 13.34 = P 0

27. 8-27 What is the Observed Pattern? We value a share of stock by bring back all expected future dividends into present value terms

28. 8-28 Future Dividends So the key is to determine the future dividends when given the growth rate of those dividends, whether the growth is zero, constant, or unusual first and then levels off to a constant growth rate.

29. 8-29 So how do you compute the future dividends? Three scenarios: 1.A constant dividend (zero growth) 2.The dividends change by a constant growth rate 3.We have some unusual growth periods and then level off to a constant growth rate

30. 8-30 So how do you compute the future dividends? Three scenarios: 1.A constant dividend (zero growth) 2.The dividends change by a constant growth rate 3.We have some unusual growth periods and then level off to a constant growth rate

31. 8-31 1. Constant Dividend – Zero Growth The firm will pay a constant dividend forever This is like preferred stock The price is computed using the perpetuity formula: P 0 = D / R

32. 8-32 So how do you compute the future dividends? Three scenarios: 1.A constant dividend (zero growth) 2.The dividends change by a constant growth rate 3.We have some unusual growth periods and then level off to a constant growth rate

33. 8-33 2. Constant Growth Rate of Dividends Dividends are expected to grow at a constant percent per period. P 0 = D 1 /(1+R) + D 2 /(1+R) 2 + D 3 /(1+R) 3 + … P 0 = D 0 (1+g)/(1+R) + D 0 (1+g) 2 /(1+R) 2 + D 0 (1+g) 3 /(1+R) 3 + …

34. 8-34 2. Constant Growth Rate of Dividends With a little algebra this reduces to:

35. 8-35 2. Constant Growth Rate of Dividends Student caution: A. What happens if g > R? B. What happens if g = R?

36. 8-36 Dividend Growth Model (DGM) Assumptions To use the Dividend Growth Model (aka the Gordon Model), you must meet all three requirements: 1.The growth of all future dividends must be constant, 2.The growth rate must be smaller than the discount rate ( g < R), and 3.The growth rate must not be equal to the discount rate (g ≠ R)

37. 8-37 DGM – Example 1 Suppose Big D, Inc., just paid a dividend (D 0 ) of $0.50 per share. It is expected to increase its dividend by 2% per year. If the market requires a return of 15% on assets of this risk, how much should the stock be selling for?

38. 8-38 DGM – Example 1 Solution P 0 =.50 ( 1 +.02).15 -.02 P 0 =.51.13 = $3.92

39. 8-39 DGM – Example 2 Suppose Moore Oil Inc., is expected to pay a $2 dividend in one year. If the dividend is expected to grow at 5% per year and the required return is 20%, what is the price?

40. 8-40 DGM – Example 2 Solution P 0 = 2.00.20 -.05 P 0 = 2.00.15 = $13.34

41. 8-41 So how do you compute the future dividends? Three scenarios: 1.A constant dividend (zero growth) 2.The dividends change by a constant growth rate 3.We have some unusual growth periods and then level off to a constant growth rate

42. 8-42 3. Unusual Growth; Then Constant Growth Just draw the time line with the unusual growth rates identified and determine if/when you can use the Dividend Growth Model. Deal with the unusual growth dividends separately.

43. 8-43 Non-constant Growth Problem Statement Suppose a firm is expected to increase dividends by 20% in one year and by 15% for two years. After that, dividends will increase at a rate of 5% per year indefinitely. If the last dividend was $1 and the required return is 20%, what is the price of the stock?

44. 8-44 Non-constant Growth Problem Statement Draw the time line and compute each dividend using the corresponding growth rate: g = 20%g = 15% g = 5% D 0 = $1.00 1234 ∞ D1D1 D2D2 D3D3

45. 8-45 Non-constant Growth Problem Statement Draw the time line and compute each dividend using the corresponding growth rate: g = 20%g = 15% g = 5% D 0 = $1.00 1234 ∞ D1D1 D2D2 D3D3 D 1 = ($1.00) (1 + 20%) = $1.00 x 1.20 = $1.20 =1.20

46. 8-46 Non-constant Growth Problem Statement Draw the time line and compute each dividend using the corresponding growth rate: g = 20%g = 15% g = 5% D 0 = $1.00 1234 ∞ D1D1 D2D2 D3D3 D 2 = ($1.20) (1 + 15%) = $1.20 x 1.15 = $1.38 =1.38

47. 8-47 Non-constant Growth Problem Statement Draw the time line and compute each dividend using the corresponding growth rate: g = 20%g = 15% g = 5% D 0 = $1.00 1234 ∞ D1D1 D2D2 D3D3 D 3 = ($1.38) (1 + 15%) = $1.38 x 1.15 = $1.59 =1.59

48. 8-48 Non-constant Growth Problem Statement Now we can use the DGM starting with the period of the constant growth rate at our time frame of year 3: g = 20%g = 15% g = 5% D 0 = $1.00 1234 ∞ D1D1 D2D2 D3D3 P 3 = D 4 /R – gP 3 = D 3 (1 + g) / R - g R = 20%

49. 8-49 Non-constant Growth Problem Statement Now we can use the DGM starting with the period of the constant growth rate at our time frame of year 3: g = 20%g = 15% g = 5% D 0 = $1.00 1234 ∞ D1D1 D2D2 D3D3 P 3 = D 3 (1 + g) / R - g P 3 = 1.59 (1.05)/.20 -.05 = $11.13 R = 20%

50. 8-50 Non-constant Growth Problem Statement We now have all of the dividends accounted for and we can compute the present value for a share of common stock: g = 20%g = 15% g = 5% D 0 = $1.00 1234 ∞ D1D1 D2D2 D3D3 R = 20% 1.20 1.38 1.59 P 3 = 11.13

51. 8-51 Non-constant Growth Problem Statement BAEFEIPVT! g = 20%g = 15% g = 5% D 0 = $1.00 1234 ∞ D1D1 D2D2 D3D3 R = 20% 1.20 1.38 1.59 P 3 = 11.13 $9.32

52. 8-52 Stock Price Sensitivity to Dividend Growth, g D 1 = $2; R = 20% 0 50 100 150 200 250 00.050.10.150.2 Growth Rate Stock Price

53. Stock Price Sensitivity to Required Return, R D 1 = $2; g = 5% 0 50 100 150 200 250 00.050.10.150.20.250.3 Growth Rate Stock Price 8-53

54. 8-54 Using the DGM to Find R Start with the DGM and then algebraically rearrange the equation to solve for R:

55. 8-55 Finding the Required Return - Example Suppose a firm’s stock is selling for $10.50. It just paid a $1 dividend, and dividends are expected to grow at 5% per year. What is the required return? R = [1(1.05)/10.50] +.05 = 15% What is the dividend yield? 1(1.05) / 10.50 = 10% What is the capital gains yield? g =5%

56. 8-56 Stock Valuation Alternative But my company doesn’t pay dividends! How can I value the stock?

57. 8-57 Valuation Using Multiples We can use the PE ratio and/or the price-sales ratio: P t = Benchmark PE ratio X EPS t P t = Benchmark price-sales ratio X Sales per share t

58. 8-58 Stock Valuation Summary

59. 8-59 Chapter Outline Bond and Stock Differences Common Stock Valuation Features of Common Stock Features of Preferred Stock The Stock Markets

60. 8-60 Features of Common Stock Voting Rights Proxy voting Classes of stock

61. 8-61 Features of Common Stock Other Rights Share proportionally in declared dividends Share proportionally in remaining assets during liquidation Preemptive right – first shot at new stock issue to maintain proportional ownership if desired

62. 8-62 Dividend Characteristics Dividends are not a liability of the firm until a dividend has been declared by the Board Consequently, a firm cannot go bankrupt for not declaring dividends

63. 8-63 Dividend Characteristics Dividends and Taxes Dividend payments are not considered a business expense; therefore, they are not tax deductible The taxation of dividends received by individuals depends on the holding period Dividends received by corporations have a minimum 70% exclusion from taxable income

64. 8-64 Chapter Outline Bond and Stock Differences Common Stock Valuation Features of Common Stock Features of Preferred Stock The Stock Markets

65. 8-65 Features of Preferred Stock Dividends Stated dividend that must be paid before dividends can be paid to common stockholders Dividends are not a liability of the firm, and preferred dividends can be deferred indefinitely

66. 8-66 Features of Preferred Stock Dividends Most preferred dividends are cumulative – any missed preferred dividends have to be paid before common dividends can be paid

67. 8-67 Features of Preferred Stock Preferred stock generally does not carry voting rights

68. 8-68 Chapter Outline Bond and Stock Differences Common Stock Valuation Features of Common Stock Features of Preferred Stock The Stock Markets

69. 8-69 Stock Market, Dealers vs. Brokers Dealer: trades with inventory for bid and ask prices Broker: matches buyers and sellers for a fee

70. 8-70 Stock Market New York Stock Exchange (NYSE) Largest stock market in the world License holders (1,366) Commission brokers Specialists Floor brokers Floor traders Operations Floor activity

71. 8-71 NASDAQ Not a physical exchange – it is a computer- based quotation system Multiple market makers Electronic Communications Networks

72. 8-72 NASDAQ Three levels of information: Level 1 – median quotes, registered representatives Level 2 – view quotes, brokers & dealers Level 3 – view and update quotes, dealers only A large portion of technology stocks are bought and sold each day on NASDAQ

73. 8-73 Work the Web Electronic Communications Networks provide trading in NASDAQ securities Click on the web surfer and visit Instinet

74. 8-74 Reading Stock Quotes

75. 8-75 Work the Web Click on the web surfer to go to Bloomberg for current stock quotes.

76. 8-76 Ethics Issues The status of pension funding (i.e., over- vs. under- funded) depends heavily on the choice of a discount rate. When actuaries are choosing the appropriate rate, should they give greater priority to future pension recipients, management, or shareholders? How has the increasing availability and use of the internet impacted the ability of stock traders to act unethically?

77. 8-77 Quick Quiz What is the value of a stock that is expected to pay a constant dividend of $2 per year if the required return is 15%? What if the company starts increasing dividends by 3% per year, beginning with the next dividend? The required return stays at 15%.

78. 8-78 Comprehensive Problem XYZ stock currently sells for $50 per share. The next expected annual dividend is $2, and the growth rate is 6%. What is the expected rate of return on this stock? If the required rate of return on this stock were 12%, what would the stock price be, and what would the dividend yield be?

79. 8-79 Terminology Bonds versus Common Stock Cash Dividends Capital Gain Yield & Dividend Yield Dividend Growth Model (DGM) Preferred Stock Stock Market – NYSE Electronic Exchange – NASDAQ Stock Quotes

80. 8-80 Formulas P 0 = D R Value of a Perpetuity: Value of a Share of Common Stock using the DGM:

81. 8-81 Formulas Value of a Share of Common Stock using Multiples P t = Benchmark PE ratio X EPS t P t = Benchmark price-sales ratio X Sales per share t

82. 8-82 Key Concepts and Skills Compute the future dividend stream based on dividend growth Use the Dividend Growth Model (DGM) to determine the price of stock Explain how stock markets work Describe the workings of a stock exchange

83. 8-83 1.A stock’s value is the present value of all expected future earnings. 2. Computing the future dividends of a stock is the key to understanding its value 3. Issuing stock provides the firm long- term funding What are the most important topics of this chapter?

84. 8-84 4.The Dividend Growth Model (DGM) provides us help with infinite dividend streams 5. Stocks are bought and sold each business day with reporting via stock quotes What are the most important topics of this chapter?

85. 8-85