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7 - 1 CHAPTER 7 Stocks and Their Valuation Features of common stock Determining common stock values Efficient markets Preferred stock 7 - 2 Represents ownership. Ownership implies control. Stockholders elect directors. Directors hire management. Since managers are “agents” of shareholders, their goal should be: Maximize stock price. Common Stock: Owners, Directors, and Managers 7 - 3 Classified stock has special provisions. Could classify existing stock as founders’ shares, with voting rights but dividend restrictions. New shares might be called “Class A” shares, with voting restrictions but full dividend rights. What’s classified stock? How might classified stock be used? 7 - 4 The dividends of tracking stock are tied to a particular division, rather than the company as a whole. Investors can separately value the divisions. Its easier to compensate division managers with the tracking stock. But tracking stock usually has no voting rights, and the financial disclosure for the division is not as regulated as for the company. What is tracking stock? 7 - 5 When is a stock sale an initial public offering (IPO)? A firm “goes public” through an IPO when the stock is first offered to the public. Prior to an IPO, shares are typically owned by the firm’s managers, key employees, and, in many situations, venture capital providers. 7 - 6 What is a seasoned equity offering (SEO)? A seasoned equity offering occurs when a company with public stock issues additional shares. After an IPO or SEO, the stock trades in the secondary market, such as the NYSE or Nasdaq. 7 - 7 Dividend growth model Using the multiples of comparable firms Free cash flow method (covered in Chapter 15) Different Approaches for Valuing Common Stock 7 - 8 ( ) ( ) ( ) ( ) ∞ ∞ + ++ + + + + + = ssss r D r D r D r D P 1 . . . 111 ˆ 3 3 2 2 1 1 0 One whose dividends are expected to grow forever at a constant rate, g. Stock Value = PV of Dividends What is a constant growth stock? 7 - 9 For a constant growth stock, ( ) ( ) ( ) D D g D D g D D g t t t 1 0 1 2 0 2 1 1 1 = + = + = + ( ) gr D gr gD P ss − = − + = 1 0 0 1 ˆ If g is constant, then: 7 - 10 ( ) D D g t t = + 0 1 ( ) t t t r D PVD + = 1 !P r,>g 0 ∞= If P PVD t0 = ∑ $ 0.25 Years (t) 0 [...]... (RPM)bi could change Inflation expectations Risk aversion Company risk g could change 7 - 35 Stock value vs changes in rs and g D1 = $2, rs = 10%, and g = 5%: P0 = D1 / (rs-g) = $2 / (0.10 - 0.05) = $40 What if rs or g change? g g g rs 9% 10% 11% 4% 40.00 33.33 28.57 5% 50.00 40.00 33.33 6% 66.67 50.00 40.00 7 - 36 Are volatile stock prices consistent with rational pricing? Small changes in... years, and their PVs rs = 13% 0 g=6% 1 D0=2.00 2.12 1.8761 13% 1.7599 1.6508 2 2.2472 3 2.3820 4 7 - 14 What’s the stock’s market value? D0 = 2.00, rs = 13%, g = 6% Constant growth model: ˆ = D0 ( 1 + g ) = D1 P0 rs − g rs − g $2.12 $2.12 = = $30.29 0.13 - 0.06 0 .07 7 - 15 What is the stock’s market value one year from now, ^ 1? P D1 will have been paid, so expected dividends are D2, D3, D4 and so... Sometimes changes in quarterly earnings are a signal of future changes in cash flows This would affect the current stock price Sometimes managers have bonuses tied to quarterly earnings 7 - 26 Suppose g = 0 for t = 1 to 3, and then g is a constant 6% What is ^ 0? P 0 rs=13% g = 0% 1 2 g = 0% 2.00 1.7699 1.5663 1.3861 20.9895 25.7118 3 g = 0% 2.00 4 g = 6% 2.00 2.12 = 2.12 = 30.2857 P3 0 .07 7 - 27... = 2.12 = 30.2857 P3 0 .07 7 - 27 What is dividend yield and capital gains yield at t = 0 and at t = 3? D1 2.00 t = 0: P = $25.72= 7.8% 0 CGY = 13.0% - 7.8% = 5.2% t = 3: Now have constant growth with g = capital gains yield = 6% and dividend yield = 7% 7 - 28 If g = -6%, would anyone buy the stock? If so, at what price? Firm still has earnings and still pays ^ > 0: dividends, so P0 ˆ = D0 ( 1 + g )... negative stock price, which is nonsense We can’t use model unless (1) g < rs and (2) g is expected to be constant forever Because g must be a longterm growth rate, it cannot be > rs 7 - 12 Assume beta = 1.2, rRF = 7%, and RPM = 5% What is the required rate of return on the firm’s stock? Use the SML to calculate rs: rs = rRF + (RPM)bFirm = 7% + (5%) (1.2) = 13% 7 - 13 D0 was $2.00 and g is a constant... 5% 50.00 40.00 33.33 6% 66.67 50.00 40.00 7 - 36 Are volatile stock prices consistent with rational pricing? Small changes in expected g and rs cause large changes in stock prices As new information arrives, investors continually update their estimates of g and rs If stock prices aren’t volatile, then this means there isn’t a good flow of information ... Analysts often use the P/E multiple (the price per share divided by the earnings per share) or the P/CF multiple (price per share divided by cash flow per share, which is the earnings per share plus the dividends per share) to value stocks Example: Estimate the average P/E ratio of comparable firms This is the P/E multiple Multiply this average P/E ratio by the expected earnings of the company... - 15 What is the stock’s market value one year from now, ^ 1? P D1 will have been paid, so expected dividends are D2, D3, D4 and so on Thus, D2 P1 = rs - g = $2.2427 = $32.10 0 .07 7 - 16 Find the expected dividend yield and capital gains yield during the first year D1 $2.12 Dividend yield = = = 7.0% P0 $30.29 ^ P1 - P 0 $32.10 - $30.29 CG Yield = = P0 $30.29 = 6.0% 7 - 17 Find the total return during... 3.0453 46.1135 54.1067 ^ = P0 ˆ = $4.6576 = $66.5371 P3 0.13 − 0.06 7 - 22 What is the expected dividend yield and capital gains yield at t = 0? At t = 4? At t = 0: $2.60 D1 Dividend yield = = = 4.8% P0 $54.11 CG Yield = 13.0% - 4.8% = 8.2% (More…) 7 - 23 During nonconstant growth, dividend yield and capital gains yield are not constant If current growth is greater than g, current capital gains yield... its stock price 7 - 31 Using Entity Multiples The entity value (V) is: the market value of equity (# shares of stock multiplied by the price per share) plus the value of debt Pick a measure, such as EBITDA, Sales, Customers, Eyeballs, etc Calculate the average entity ratio for a sample of comparable firms For example, V/EBITDA V/Customers 7 - 32 Using Entity Multiples (Continued) Find . 7 - 1 CHAPTER 7 Stocks and Their Valuation Features of common stock Determining common stock values Efficient. secondary market, such as the NYSE or Nasdaq. 7 - 7 Dividend growth model Using the multiples of comparable firms Free cash flow method (covered in Chapter 15) Different Approaches for Valuing. management. Since managers are “agents” of shareholders, their goal should be: Maximize stock price. Common Stock: Owners, Directors, and Managers 7 - 3 Classified stock has special provisions. Could