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CHAPTER 18

CHAPTER 18. Equity Valuation Models. Valuation Methods. Valuation by comparables Price/Earning Ratios Balance Sheet Models Book Value http://finance.yahoo.com/q/ks?s=CSCO http://biz.yahoo.com/ic/814.html Expected Returns vs. Required Return CAPM Intrinsic Value vs. Market price

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CHAPTER 18

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  1. CHAPTER 18 Equity Valuation Models

  2. Valuation Methods • Valuation by comparables • Price/Earning Ratios • Balance Sheet Models • Book Value http://finance.yahoo.com/q/ks?s=CSCO http://biz.yahoo.com/ic/814.html • Expected Returns vs. Required Return • CAPM • Intrinsic Value vs. Market price • Dividend Discount Models

  3. Table 18.1 Financial Highlights for Microsoft Corporation, October 25, 2007

  4. Limitations of Book Value Book value is an application of arbitrary accounting rules Can book value represent a floor value? Better approaches Liquidation value Replacement cost Tobin’s q ratio

  5. Expected Holding Period Return • The return on a stock investment comprises cash dividends and capital gains or losses • Assuming a one-year holding period

  6. Required Return CAPM gave us required return: If the stock is priced correctly Required return should equal expected return

  7. Intrinsic Value Self assigned Value Variety of models are used for estimation Market Price Consensus value of all potential traders Trading Signal IV > MP Buy IV < MP Sell or Short Sell IV = MP Hold or Fairly Priced Intrinsic Value and Market Price

  8. PH = the expected sales price for the stock at time H H = the specified number of years the stock is expected to be held Specified Holding Period

  9. V0 = Value of Stock Dt= Dividend k = required return Dividend Discount Models: General Model

  10. Stocks that have earnings and dividends that are expected to remain constant Preferred Stock No Growth Model

  11. E1 = D1 = $5.00 k = .15 V0 = $5.00 /.15 = $33.33 No Growth Model: Example

  12. g = constant perpetual growth rate Constant Growth Model

  13. E1 = $5.00 b = 40% k = 15% (1-b) = 60% D1= $3.00 g = 8% V0 = 3.00 / (.15 - .08) = $42.86 Constant Growth Model: Example

  14. g = growth rate in dividends ROE = Return on Equity for the firm b = plowback or retention percentage rate (1- dividend payout percentage rate) Estimating Dividend Growth Rates

  15. Figure 18.1 Dividend Growth for Two Earnings Reinvestment Policies

  16. Present Value of Growth Opportunities If the stock price equals its IV, growth rate is sustained, the stock should sell at: If all earnings paid out as dividends, price should be lower (assuming growth opportunities exist)

  17. Present Value of Growth Opportunities Continued Price = No-growth value per share + PVGO (present value of growth opportunities)

  18. ROE = 20% d = 60% b = 40% E1 = $5.00 D1 = $3.00 k = 15% g = .20 x .40 = .08 or 8% Partitioning Value: Example

  19. Partitioning Value: Example Continued Vo = value with growth NGVo = no growth component value PVGO = Present Value of Growth Opportunities

  20. Life Cycles and Multistage Growth Models g1 = first growth rate g2 = second growth rate T = number of periods of growth at g1

  21. Multistage Growth Rate Model: Example D0 = $2.00 g1= 20% g2= 5% k = 15% T = 3 D1= 2.40 D2 = 2.88 D3= 3.46 D4= 3.63 V0= D1/(1.15) + D2/(1.15)2 + D3/(1.15)3 + D4 / (.15 - .05) ( (1.15)3 V0= 2.09 + 2.18 + 2.27 + 23.86 = $30.40

  22. Table 18.2 Financial Ratios in Two Industries

  23. Figure 18.2 Value Line Investment Survey Report on Honda Motor Co.

  24. P/E Ratios are a function of two factors Required Rates of Return (k) Expected growth in Dividends Uses Relative valuation Extensive Use in industry Price Earnings Ratios

  25. E1 - expected earnings for next year E1 is equal to D1 under no growth k - required rate of return P/E Ratio: No Expected Growth

  26. b = retention ratio ROE = Return on Equity P/E Ratio: Constant Growth

  27. E0 = $2.50 g = 0 k = 12.5% P0 = D/k = $2.50/.125 = $20.00 PE = 1/k = 1/.125 = 8 Numerical Example: No Growth

  28. b = 60% ROE = 15% (1-b) = 40% E1= $2.50 (1 + (.6)(.15)) = $2.73 D1 = $2.73 (1-.6) = $1.09 k = 12.5% g = 9% P0 = 1.09/(.125-.09) = $31.14 PE = 31.14/2.73 = 11.4 PE = (1 - .60) / (.125 - .09) = 11.4 Numerical Example: Growth

  29. Table 18.3 Effect of ROE and Plowback on Growth and the P/E Ratio

  30. P/E Ratios and Stock Risk • Holding all else equal • Riskier stocks will have lower P/E multiples • Higher values of k; therefore, the P/E multiple will be lower

  31. Pitfalls in P/E Analysis Use of accounting earnings Earnings Management Choices on GAAP Inflation Reported earnings fluctuate around the business cycle

  32. Figure 18.3 P/E Ratios of the S&P 500 Index and Inflation

  33. Figure 18.4 Earnings Growth for Two Companies

  34. Figure 18.5 Price-Earnings Ratios

  35. Figure 18.6 P/E Ratios for Different Industries, 2007

  36. Other Comparative Value Approaches Price-to-book ratio Price-to-cash-flow ratio Price-to-sales ratio

  37. Figure 18.7 Market Valuation Statistics

  38. Free Cash Flow Approach Discount the free cash flow for the firm Discount rate is the firm’s cost of capital Components of free cash flow After tax EBIT Depreciation Capital expenditures Increase in net working capital

  39. Comparing the Valuation Models • In practice • Values from these models may differ • Analysts are always forced to make simplifying assumptions

  40. The Aggregate Stock Market Explaining Past Behavior Forecasting the Stock Market

  41. Figure 18.8 Earnings Yield of S&P 500 versus 10-Year Treasury-Bond Yield

  42. Table 18.4 S&P 500 Price Forecasts Under Various Scenarios

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