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Chapter 9. Stocks and Their Valuation. Topics Covered. Common and Preferred Stock Properties Valuing Preferred Stocks Valuing Common Stocks - the Dividend Growth Model No growth Constant growth Non-constant or supernormal growth Valuing the Entire Corporation – Free Cash Flow Approach
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Chapter 9 Stocks and Their Valuation
Topics Covered • Common and Preferred Stock Properties • Valuing Preferred Stocks • Valuing Common Stocks - the Dividend Growth Model • No growth • Constant growth • Non-constant or supernormal growth • Valuing the Entire Corporation – Free Cash Flow Approach • Stock Market Equilibrium
Facts about common stock • Represents ownership • Ownership implies control • Stockholders elect directors • Directors elect management • Management’s goal: Maximize the stock price
Preferred Stock Characteristics • Unlike common stock, no ownership interest • Second to debt holders on claim on company’s assets in the event of bankruptcy. • Annual dividend yield as a percentage of par value • Preferred dividends must be paid before common dividends • If cumulative preferred, all missed past dividends must be paid before common dividends can be paid.
Intrinsic Value and Stock Price • Outside investors, corporate insiders, and analysts use a variety of approaches to estimate a stock’s intrinsic value (P0). • In equilibrium we assume that a stock’s price equals its intrinsic value. • Outsiders estimate intrinsic value to help determine which stocks are attractive to buy and/or sell. • Stocks with a price below (above) its intrinsic value are undervalued (overvalued).
Preferred Stock Valuation • Promises to pay the same dividend year after year forever, never matures. • A perpetuity. • VP = DP/rP • Expected Return: rP = DP/P0 • Example: GM preferred stock has a $25 par value with a 8% dividend yield. What price would you pay if your required return is 7%?
What do investors in common stock want? • Periodic cash flows: dividends, and… • To sell the stock in the future at a higher price • Management to maximize their wealth
Stock Valuation: Dividend Growth Model Stock Value = PV of Future Expected Dividends
Stock Valuation: Dividend Patterns • For Valuation: we will assume stocks fall into one of the following dividend growth patterns. • Constant growth rate in dividends • Zero growth rate in dividends, like preferred stock • Variable (non-constant) growth rate in dividends
Stock Valuation Case Study: Doh! Doughnuts • We have found the following information for Doh! Doughnuts: • current dividend = $2.00 = Div0 • The current T-bill rate is 5% and investors demand an 9% market risk premium. • Doh!’s beta = 1.2.
Analysts Estimates for Doh! Doughnuts • NEDFlanders predicts a constant annual growth rate in dividends and earnings of zero percent (0%) • Barton Kruston Simpson predicts a constant annual growth rate in dividends and earnings of 10 percent (9%). • Homer Co. expects a dramatic growth phase of 30% annually for each of the next 3 years followed by a constant 10% growth rate in year 4 and beyond.
Our Task: Valuation Estimates • What should be each analyst’s estimated value of Doh! Doughnuts?
Assumes all earnings are paid to shareholders. Valuing Common Stocks: No Growth If we forecast no growth, and plan to hold out stock indefinitely, we will then value the stock as a PERPETUITY.
Ned Flanders’ Valuation • D0 = $2.00, rS = 15.8% or 0.158, g = 0%
Constant Growth Valuation Model • Assumes dividends will grow at a constant rate (g) that is less than the required return (rS ) • If dividends grow at a constant rate forever, you can value stock as a growing perpetuity, denoting next year’s dividend as D1: Commonly called the Gordon growth model
Barton Kruston Simpson’s Valuation • D0 = $2.00, g = 9%, rS = 15.8%
Expected Return of Constant Growth Stocks • Expected Rate of Return = Expected Dividend Yield + Expected Capital Gains Yield • D1/P0 = Expected Dividend Yield • g = Expected Capital Gains Yield • r = (D1/P0)+ g = (D0(1+g)/P0) + g
Example • Burns International’s stock sells for $80 and their expected dividend is $4. The market expects a return of 15%. • What constant growth rate is the market expecting for Burns International?
Variable Growth Stock Valuation • Framework: Assume Stock has period of non-constant growth in dividends and earnings and then eventually settles into a normal constant growth pattern (gc). 0 g1 1 g2 2 g3 3 gc 4 gc 5 gc ... D1 D2 D3 Non-constant Growth Period Constant Growth
Today’s agenda • Supernormal (non-constant) dividend growth valuation • Corporate value approach to stock valuation • Stock Market Equilibrium
Homer Co. Valuation • Variable (non-constant) growth • Years 1-3 expect 30% growth • After year 3: constant growth of 10%
Variable Growth Valuation Process 3 Step Process • Estimate Dividends during non-constant growth period. • Estimate Price, which is the PV of the constant growth dividends, at the end of non-constant growth period which is also the beginning of the constant growth period. This is called the horizon or terminal value. • Find the PV of non-constant dividends and horizon value. The total of these PVs = Today’s estimated stock value.
Back to Homer Co’s Valuation: Step 1 • D0 = $2.00, g = 30% or 0.3 for next 3 years
Homer Co’s Valuation: Step 2 • Find Horizon Value which is the constant growth stock value at the end of year 3.
0 1 2 3 4 rs = 15.8% ... g = 30% g = 30% g = 30% gc = 10% PV(CF) 2.600 3.380 4.394 2.245 2.521 56.495 $61.26 = P0 Homer Co’s Valuation: Step 3 +83.334 87.728 ^
Corporate value model • Also called the free cash flow method. Suggests the value of the entire firm equals the present value of the firm’s free cash flows. • Remember, free cash flow is the firm’s after-tax operating income less the net capital investment • FCF = NOPAT – Net capital investment
Applying the corporate value model • Find the market value (MV) of the firm, by finding the PV of the firm’s future FCFs at the company’s weighted average cost of capital, WACC. • Subtract MV of firm’s debt and preferred stock to get MV of common stock. • Divide MV of common stock by the number of shares outstanding to get intrinsic stock price (value).
Issues regarding the corporate value model • Often preferred to the dividend growth model, especially when considering number of firms that don’t pay dividends or when dividends are hard to forecast. • Similar to dividend growth model, assumes at some point free cash flow will grow at a constant rate. • Terminal value (TVN) represents value of firm at the point that growth becomes constant.
AMD’s debt market value is $692 million. • No preferred stock • 486 million shares outstanding • Current free cash flow is $286 million. AMD An Example: Advanced Micro Devices (AMD) Assume that AMD will experience 21% year 1, 19% year 2 and 18% FCF growth in year 3 and 11% constant annual growth thereafter. AMD’s WACC is approximately 17%.
An Example: AMD Projected FCFs($millions) Use non-constant growth to estimate AMD’s corporate value.
0 1 2 3 4 WACC=17% ... gc = 11% 346.1 411.8 485.9 539.4 295.8 300.8 303.4 539.4 = = 8989.8 5613.0 3 - 0.17 0.11 6513.0 = Firm Value AMD’s FCF Corporate Valuation ($millions) $ TV ^
AMD’s Stock Value per share • MV of firm = $6513 million • MV of debt = $692 million • MV of equity (stock) = $6513 - $692 = $5821 million • 486 million shares outstanding • P0 = MV of equity/shares = $5821/486 = $11.98 • Recent price = $13.50
Stock Market Equilibrium • In equilibrium, stock prices are stable and there is no general tendency for people to buy versus to sell. • In equilibrium, two conditions hold: • The current market stock price equals its intrinsic value (P0 = P0). • Expected returns must equal required returns.
How is market equilibrium established? • If price is below intrinsic value … • The current price (P0) is “too low” and offers a bargain. • Buy orders will be greater than sell orders. • P0 will be bid up until expected return equals required return.
Doh! In equilibrium? • Doh! Doughnuts current stock price is $30. • Required return = 5% + 9%(1.2) = 15.8% • Let’s assume the 2nd analyst is correct and Doh! Has a constant growth rate of 9% and its current dividend is $2. • Is Doh! Doughnuts’ current stock price in equilibrium?
Expected Return of Constant Growth Stocks • Expected Rate of Return = Expected Dividend Yield + Expected Capital Gains Yield • D1/P0 = D0(1+g)/P0 = Expected Dividend Yield • g = Expected Capital Gains Yield • From our example, D1=$2(1.09) = $2.18, P0=$30, g = 9% or 0.09 DOH! Doh! Doughnuts
The Effect On the Stock Price • Expected Return needs to fall to the required return of 15.8%. This means the stock price must rise to the equilibrium price that yields the required return of 15.8% • New Price = D1/(rs- g)=$2.18/(.158 - .09)= $32.06
Stock Valuation Summary • Looked at Dividend Discount Model: Value = PV of future expected dividends. All else equal: • Higher interest rates (rs) yields lower stock prices (inverse relationship) • Higher growth rate yields higher stock price. • Other Stock Valuation Methods • “Multiples” Method: P/E, P/CF, P/S • For example: Price Estimate = PE Ratio x expected EPS