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CHAPTER 18. Equity Valuation Models. Balance Sheet Models Book Value Dividend Discount Models Price/Earning Ratios. Models of Equity Valuation. Table 18.1 Financial Highlights for Microsoft Corporation, October 25, 2007. Limitations of Book Value.
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CHAPTER 18 Equity Valuation Models
Balance Sheet Models Book Value Dividend Discount Models Price/Earning Ratios Models of Equity Valuation
Table 18.1 Financial Highlights for Microsoft Corporation, October 25, 2007
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
Expected Holding Period Return The return on a stock investment comprises cash dividends and capital gains or losses Assuming a one-year holding period
Required Return CAPM gave us required return: If the stock is priced correctly Required return should equal expected return
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
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
V0 = Value of Stock Dt= Dividend k = required return Dividend Discount Models: General Model
Stocks that have earnings and dividends that are expected to remain constant Preferred Stock No Growth Model
E1 = D1 = $5.00 k = .15 V0 = $5.00 /.15 = $33.33 No Growth Model: Example
g = constant perpetual growth rate Constant Growth Model
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
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
Figure 18.1 Dividend Growth for Two Earnings Reinvestment Policies
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)
Present Value of Growth Opportunities Continued Price = No-growth value per share + PVGO (present value of growth opportunities)
ROE = 20% d = 60% b = 40% E1 = $5.00 D1 = $3.00 k = 15% g = .20 x .40 = .08 or 8% Partitioning Value: Example
Partitioning Value: Example Continued Vo = value with growth NGVo = no growth component value PVGO = Present Value of Growth Opportunities
Life Cycles and Multistage Growth Models g1 = first growth rate g2 = second growth rate T = number of periods of growth at g1
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
Figure 18.2 Value Line Investment Survey Report on Honda Motor Co.
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
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
b = retention ratio ROE = Return on Equity P/E Ratio: Constant Growth
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
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
Table 18.3 Effect of ROE and Plowback on Growth and the P/E Ratio
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
Pitfalls in P/E Analysis Use of accounting earnings Earnings Management Choices on GAAP Inflation Reported earnings fluctuate around the business cycle
Other Comparative Value Approaches Price-to-book ratio Price-to-cash-flow ratio Price-to-sales ratio
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
Comparing the Valuation Models In practice Values from these models may differ Analysts are always forced to make simplifying assumptions
The Aggregate Stock Market Explaining Past Behavior Forecasting the Stock Market
Figure 18.8 Earnings Yield of S&P 500 versus 10-Year Treasury-Bond Yield