CHAPTER 18 Investments Equity Valuation Models Slides by Richard D. Johnson Copyright © 2008 by The...
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Transcript of CHAPTER 18 Investments Equity Valuation Models Slides by Richard D. Johnson Copyright © 2008 by The...
CHAPTER 18CHAPTER 18
InvestmentsInvestments
Equity Valuation Equity Valuation ModelsModels
Slides bySlides by
Richard D. JohnsonRichard D. Johnson
Copyright © 2008 by The McGraw-Hill Companies, Inc. All rights reservedCopyright © 2008 by The McGraw-Hill Companies, Inc. All rights reserved McGraw-Hill/IrwinMcGraw-Hill/Irwin
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18- 18- 22
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Balance Sheet Models– Book Value
Dividend Discount ModelsPrice/Earning Ratios
Models of Equity Valuation
18- 18- 33
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Table 18.1Financial Highlights for Microsoft Corporation, March 8, 2006
18- 18- 44
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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
18- 18- 55
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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
18- 18- 66
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VD
ko
t
tt
( )11
VD
ko
t
tt
( )11
V0 = Value of Stock
Dt = Dividend
k = required return
Dividend Discount Models: General Model
18- 18- 77
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VD
ko
Stocks that have earnings and dividends that are expected to remain constant.
Preferred Stock
No Growth Model
18- 18- 88
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E1 = D1 = $5.00
k = .15
V0 = $5.00 / .15 = $33.33
VD
ko
No Growth Model: Example
18- 18- 99
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VoD g
k g
o
( )1
VoD g
k g
o
( )1
g = constant perpetual growth rate
Constant Growth Model
18- 18- 1010
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VoD g
k g
o
( )1
VoD g
k g
o
( )1
E1 = $5.00b = 40% k = 15%
(1-b) = 60% D1 = $3.00 g = 8%
V0 = 3.00 / (.15 - .08) = $42.86
Constant Growth Model: Example
18- 18- 1111
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g ROE b g ROE b
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
18- 18- 1212
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)1()1()1(...2
21
10
kPD
kD
kDV N
NN
PN = the expected sales price for the stock at time N
N = the specified number of years the stock is expected to be held
Specified Holding Period Model
18- 18- 1313
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Figure 18.1 Dividend Growth for Two Earnings Reinvestment Policies
18- 18- 1414
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ROE = 20% d = 60% b = 40%
E1 = $5.00 D1 = $3.00 k = 15%
g = .20 x .40 = .08 or 8%
Partitioning Value: Example
18- 18- 1515
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V
NGV
PVGO
o
o
3
15 0886
5
1533
86 33 52
(. . )$42.
.$33.
$42. $33. $9.
V
NGV
PVGO
o
o
3
15 0886
5
1533
86 33 52
(. . )$42.
.$33.
$42. $33. $9.
Vo = value with growth
NGVo = no growth component value
PVGO = Present Value of Growth Opportunities
Partitioning Value: Example
18- 18- 1616
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Table 18.2 Financial Ratios in Two Industries
18- 18- 1717
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Figure 18.2 Value Line Investment Survey Report on Hewlett Packard
18- 18- 1818
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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
18- 18- 1919
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PE
kP
E k
01
0
1
1
PE
kP
E k
01
0
1
1
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
18- 18- 2020
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)(
1
)(
)1(
1
0
110
ROEbk
b
E
P
ROEbk
bE
gk
DP
)(
1
)(
)1(
1
0
110
ROEbk
b
E
P
ROEbk
bE
gk
DP
b = retention ratio
ROE = Return on Equity
P/E Ratio with Constant Growth
18- 18- 2121
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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
18- 18- 2222
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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 with Growth
18- 18- 2323
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Table 18.3 Effect of ROE and Plowback on Growth and the P/E Ratio
18- 18- 2424
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Pitfalls in P/E Analysis
Use of accounting earnings– Earnings Management
– Choices on GAAP
InflationReported earnings fluctuate around the
business cycle.
18- 18- 2525
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Figure 18.3 P/E Ratios and Inflation
18- 18- 2626
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Figure 18.4 Earnings Growth for Two Companies
18- 18- 2727
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Figure 18.5 Price-Earnings Ratios
18- 18- 2828
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Figure 18.6 P/E Ratios for Different Industries, 2006
18- 18- 2929
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Other Comparative Value Approaches
Price-to-book ratioPrice-to-sales ratioPrice-to-cash-flow ratio
18- 18- 3030
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Figure 18.7 Market Valuation Statistics
18- 18- 3131
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Free Cash Flow Approach
Discount the free cash flow for the firmDiscount rate is the firm’s cost of capitalComponents of free cash flow
– After tax EBIT
– Depreciation
– Capital expenditures
– Increase in net working capital
18- 18- 3232
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Steps to Forecasting the Aggregate Market
Step 1: Forecast corporate profitsStep 2: Estimate the earnings multiple
using long-term interest ratesStep 3: Product is the estimate for
aggregate level
18- 18- 3333
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Figure 18.8 Earnings Yield of S&P 500 versus 10-Year Treasury-Bond Yield
18- 18- 3434
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Table 18.4 S&P 500 Forecasts Under Various Scenarios
18- 18- 3535
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Two Stage DDM