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Chapter 7. Valuation of the Individual Firm. Objectives. Understand the basic valuation process as it relates to earnings and dividends Explain the related concepts of risk and return Be able to use various present value-oriented valuation models. Objectives continued.
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Chapter 7 Valuation of the Individual Firm
Objectives • Understand the basic valuation process as it relates to earnings and dividends • Explain the related concepts of risk and return • Be able to use various present value-oriented valuation models
Objectives continued • Describe the role of the price-earnings ratio in determining value • Explain how an individual stock’s price-earnings ratio is related to the market • Explain techniques for forecasting earnings per share
Valuation of the Individual Firm • Basic Valuation Concepts • Review of Risk and Required Return Concepts • Dividend Valuation Models • Earnings Valuation Models • The Price-Earnings Ratio
Valuation of the Individual Firm continued • Other Valuation Models Using Average Price Ratios and 10-Year Averages • Forecasting Earnings per Share • Growth Stocks and Growth Companies • Assets as a Source of Stock Value • Appendix 7A: Sustainable Growth Model
Basic Valuation Concepts • Dividend valuation models • Based on dividends expected to be received • Earnings valuation models • Based on earnings as the income stream • Price-earnings ratio • Multiplier of earnings • Long-run historical relationships • Market price and sales per share • Market price and book value per share • Market value of assets • Cash • Liquid Assets • Replacement value • Hidden assets
Review ofRisk & Required Return Concepts • Required rate of return: • Investor must know the required rate of return on the various RISK CLASSES of assets
Risk & Required Return Concepts cont. • The risk-free rate is a function of both the real rate of return and an inflation premium: RF (Risk free rate)= (1+ Real rate)(1 + Expected rate of inflation) – 1
Risk & Required Return Concepts cont. • The risk-free rate is a function of both the real rate of return and an inflation premium: RF (Risk free rate)= (1+ Real rate)(1 + Expected rate of inflation) – 1 • The required rate of return is a function of the risk-free rate plus a risk premium for a specific investment • We can use the Capital Asset Pricing Model to determine the required rate of return when valuing stocks in a diversified portfolio
Risk & Required Return Conceptscont. Adding a “risk” component to the risk free rate Ke = RF + b (KM- RF) Ke = Required rate of return RF = Risk free rate b = Beta coefficient KM = Expected return for common stocks in the market (KM - RF ) = Equity risk premium (ERP) beta risk free rate Equity risk premium
Risk-free rate (Ke) • Normally assumed to be the return on U.S. Treasury securities
Beta (β) b • Measures individual company risk against market risk • Usually — S&P 500 Stock Index • b > 1 → more risk than the market • b < 1 → less risk than the market • b = 1 → same risk as the market
Equity Risk Premium (KM – RF) • Not readily observable • Based on investor expectations • Represents the extra return (premium) the stock market must provide to investors compared with U.S. Treasury securities
Dividend Valuation Models • General Dividend Model • Constant Growth Model • A Nonconstant Growth Model
General Dividend Model …+ P0 = where: P0 = Present value of the stock price Di = Dividend for each year, e.g.1, 2, 3,..∞ Ke= Required rate of return (discount rate)
Constant Growth Model P0 = where: P0 = Present value of the stock price Ke = Required rate of return (discount rate) D0(1+g)1 = D1 = Dividends in the initial year D0(1+g)2 = D2 = Dividends in year 2, and so on g = Constant growth rate in the dividend
Constant Growth Model cont. If the following two conditions are met • Growth rate (g) is constant • Required rate of return (Ke) > growth rate (g) Then the Constant Growth Model formula becomes:
A Nonconstant Growth Model Example: Constant growth in dividends, 20% per year for the first 10 years, and 8% perpetual growth rate after that Application Example – Please click on the Excel to see calculations for JAYCAR Also, Figure 7-1 on page 148 in the textbook
Earnings Valuation Model • The Combined Earnings and Dividend Model • More comprehensive, using both EPS (earnings per share) & P/E (earnings multiplier, or P/E Ratio) Combined with a Finite dividend model Application Example – Please click on the Excel to see calculations for J&J I. II.
EVA: Economic Value AddedThe Real World of Investing • New valuation concept • Considered by • Coca Cola • Eli Lilly • Merrill Lynch • Monsanto • Emphasize maximizing EVA • Less interested at generating EPS Continued
EVA cont. (Capital) Investment decision made or projects accepted ONLY IF > Founders of EVA www.sternstewart.com
The Price-Earning Ratio • Mathematically P/E ratio = (1) Price per share (2) Earnings per share • Ultimately P/E ratio is set by investors • Bid price up or down in relation to earnings • (1) Today’s price • (2) Latest 12-month earnings per share
Factors Affecting P/E Ratio • Expected growth in EPS • Historical analysis • International factors • Leading indicators • Government monetary and fiscal policies • Mood and confidence of the public • Overall conditions in the stock market • Growth prospects in the economy • Inflation inversely related to P/E ratio • CPI goes down → P/E ratio goes up • CPI goes up → P/E ratio goes down
The S&P 500 Index with Earnings per Share and Derived Price-Earnings Ratio
P/E Ratio for Individual Stocks 1. Growth prospect 2. Risk associated with future performance 3. Debt to equity ratio Continued
P/E Ratio for Individual Stocks continued 4. Dividend policy • Low dividends preferred with superior internal reinvestment opportunities • High dividends preferred for maturing companies 5. Quality of management, capable, innovative 6. Quality of earnings (accounting practices) 7. Technology and research 8. Government policy and politics 9. Fads and other factors 10.Can you think of any other factors that could affect the P/E ratio of an individual stock?
P/E Ratio for Individual Stocks continued • Firms expected to provide returns greater than the overall economy, with equal or less risk, will generally have superior P/E ratios
The Pure, Short-Term Earnings Model • Investors/speculators • Short term view • Ignore present value analysis of • Dividends & • Earnings per share Instead Compute estimated value of stock
Johnson & Johnson Relative P/E Model and Historical Ratio Models
Relating an Individual Stock’s P/E Ratio to the Market • Sales per share (SPS) • Dividends per share (DPS) • Cash Flow per share (CFPS) • Book Value per share (BVPS) Continued
Relating an Individual Stock’s P/E Ratio to the Market cont. • Stock Price • P/E Ratio of a stock (JNJ • P/E Ratio of S&P 500 • Relative P/E Ratios Relative P/E Ratio = See Table 7-4 on page 156 Company P/E S&P 500 P/E
Other Valuation Models Using Average Price Ratios and 10-Year Averages A. Avg. Price/Avg. Sales per share (SPS) Example: Price-to-SPS Ratio = $49.66/$12.59 = 3.943 Price-to-SPS Ratio x Est. SPS = Projected Price 3.943 x $20.04 = $79.02 Please refer to Table 7-5 on page 157
Other Valuation Models Using Average Price Ratios and 10-Year Averages cont. Similar calculations shown on the previous slide for: B. Price to dividends per Share (DPS) C. Price to cash flow per share (CFPS) D. Price to book value per share (BVPS)
Forecasting Earnings per Share • Investors get earnings forecasts from: • Brokerage house research • Investment advisory firms • Value Line • Standard & Poor’s • Financial magazines • Forbes • Business Week • Worth • Money • Do it themselves
Forecasting Earnings per Share • Least Squares Trendline • The Income Statement Method
Forecasting Earnings per ShareLeast Squares Trendline • Regression – least squares trend analysis • most common • Statistical method • Trendline fitted to a time series of historical earnings (observations) • A straight line that minimizes the distance of the individual observations from the line
Forecasting Earnings per Share continued • Cyclical Companies • More sensitivity to swings in economy • High priced durable goods • Automobiles • Airlines • Seasonal Companies • Variability due to seasonal demand • Heating fuel • Air conditioning • Snowmobiles
Forecasting Earnings per ShareThe Income Statement Method • Start with sales forecast • Create standardized set of financial statements • Based on historical relationships • Sales forecast must be accurate to give a meaningful EPS • Important factors • Profitability • Fluctuations in profit margins Before tax After tax
Growth Stocks • In assessing the worth of an investment, the term growth stock is used by • Stockholders • Analysts • Investors • Common stock of a company growing faster than the economy or market norm • Predictable earnings growth Definition
Growth Companies Definition • Companies that exhibit rising returns on assets each year • Sales growing at an increasing rate (growth phase of the life cycle curve) • Usually, not as well-known as growth stocks Continued
Growth Companies cont. Example of industries: • Computer networking • Cable television • Cellular telephones • Biotechnology • Medical electronics • Can you suggest any more industries?
Assets as a Sources of Stock Value • Consider assets as opposed to earnings and dividends • Cash & marketable securities • Buildings • Land • Timber • Old movies • Natural resources Continued $ $ $