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"Aswath Damodaran is simply the best valuation teacher around. If you are interested in the theory or practice of valuation, you should have Damodaran on Valuation on your bookshelf. You can bet that I do." -- Michael J. Mauboussin, Chief Investment Strategist, Legg Mason Capital Management and author of More Than You Know: Finding Financial Wisdom in Unconventional Places In order to be a successful CEO, corporate strategist, or analyst, understanding the valuation process is a necessity. The second edition of Damodaran on Valuation stands out as the most reliable book for answering many of today?s critical valuation questions. Completely revised and updated, this edition is the ideal book on valuation for CEOs and corporate strategists. You'll gain an understanding of the vitality of today?s valuation models and develop the acumen needed for the most complex and subtle valuation scenarios you will face.
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Contents
Preface
Chapter 1: Introduction to Valuation
A Philosophical Basis for Valuation
Inside the Valuation Process
Approaches to Valuation
Role of Valuation
Conclusion
Part One: Discounted Cash Flow Valuation
Chapter 2: Estimating Discount Rates
What is Risk?
Cost of Equity
From Cost of Equity to Cost of Capital
Conclusion
Chapter 3: Measuring Cash Flows
Categorizing Cash Flows
Earnings
Tax Effect
Reinvestment Needs
From Firm to Equity Cash Flows
Conclusion
Chapter 4: Forecasting Cash Flows
Structure of Discounted Cash Flow Valuation
Length of Extraordinary Growth Period
Detailed Cash Flow Forecasts
Terminal Value
Estimation Approaches
Conclusion
Chapter 5: Equity Discounted Cash Flow Models
Dividend Discount Models
FCFE (Potential Dividend) Discount Models
FCFE Versus Dividend Discount Model Valuation
Per Share Versus Aggregate Valuation
Conclusion
Chapter 6: Firm Valuation Models
Cost of Capital Approach
Adjusted Present Value Approach
Excess Return Models
Capital Structure and Firm Value
Conclusion
Part Two: Relative Valuation
Chapter 7: Relative Valuation: First Principles
What is Relative Valuation?
Ubiquity of Relative Valuation
Reasons for Popularity and Potential Pitfalls
Standardized Values and Multiples
Four Basic Steps to Using Multiples
Reconciling Relative and Discounted Cash Flow Valuations
Conclusion
Chapter 8: Equity Multiples
Definitions of Equity Multiples
Distributional Characteristics of Equity Multiples
Analysis of Equity Multiples
Applications of Equity Multiples
Conclusion
Chapter 9: Value Multiples
Definition of Value Multiples
Distributional Characteristics of Value Multiples
Analysis of Value Multiples
Applications of Value Multiples
Conclusion
Part Three: Loose Ends in Valuation
Chapter 10: Cash, Cross Holdings, and Other Assets
Cash and Near-Cash Investments
Financial Investments
Holdings in Other Firms
Other Nonoperating Assets
Conclusion
Appendix 10.1: Industry Averages: Cash Ratios—January 2005
Chapter 11: Employee Equity Options and Compensation
Equity-Based Compensation
Employee Options
Restricted Stock
Conclusion
Chapter 12: The Value of Intangibles
Importance of Intangible Assets
Independent and Cash-Flow-Generating Intangible Assets
Firmwide Cash-Flow-Generating Intangible Assets
Intangible Assets with Potential Future Cash Flows
Conclusion
Appendix 12.1: Option Pricing Models
Chapter 13: The Value of Control
Measuring the Expected Value of Control
Manifestations of the Value of Control
Conclusion
Chapter 14: The Value of Liquidity
Measuring Illiquidity
Cost of Illiquidity: Theory
Cost of Illiquidity: Empirical Evidence
Dealing with Illiquidity in Valuation
Consequences of Illiquidity
Conclusion
Chapter 15: The Value of Synergy
What is Synergy?
Valuing Synergy
Dubious Synergies
Evidence on Synergy—Value Created and Added
Common Errors in Valuing Synergy
Conclusion
Chapter 16: The Value of Transparency
An Experiment
Defining Complexity
Sources of Complexity
Reasons for Complexity
Measuring Complexity
Consequences of Complexity
Dealing with Complexity
Cures for Complexity
Conclusion
Appendix 16.1: Standard & Poor’s Transparency and Disclosure Index: Key Questions
Appendix 16.2: Measuring Complexity with a Score—An Example
Chapter 17: The Cost of Distress
Possibility and Consequences of Financial Distress
Discounted Cash Flow Valuation
Relative Valuation
From Firm to Equity Value in Distressed Firms
Conclusion
Chapter 18: Closing Thoughts
Choices in Valuation Models
Which Approach Should We Use?
Choosing the Right Discounted Cash Flow Model
Choosing the Right Relative Valuation Model
When should We Use the Option Pricing Models?
Ten Steps to Better Valuations
Conclusion
Index
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Copyright © 2006 by Aswath Damodaran. All rights reserved.
Published by John Wiley & Sons, Inc., Hoboken, New Jersey. Published simultaneously in Canada.
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Library of Congress Cataloging-in-Publication Data:
Damodaran, Aswath.
Damodaran on valuation : security analysis for investment and corporate finance / Aswath Damodaran.—2nd ed.
p. cm.—(Wiley finance series) Includes index.
ISBN-13 978-0-471-75121-2 (cloth) ISBN-10 0-471-75121-9 (cloth)
1. Corporations—Valuation—Mathematical models. 2. Capital assets pricing model. 3. Investment analysis. I. Title. II. Series.
HG4028.V3D35 2006 658.15—dc22
2006004905
To all those people with whom
I have debated valuation issues over time
and who have pointed out the errors
(or at least the limitations)
of my ways
Preface
There is nothing so dangerous as the pursuit of a rational investment policy in an irrational world.
—John Maynard Keynes
Lord Keynes was not alone in believing that the pursuit of true value based on financial fundamentals is a fruitless one in markets where prices often seem to have little to do with value. There have always been investors in financial markets who have argued that market prices are determined by the perceptions (and misperceptions) of buyers and sellers, and not by anything as prosaic as cash flows or earnings. I do not disagree with them that investor perceptions matter, but I do disagree with the notion that they are all that matter. It is a fundamental precept of this book that it is possible to estimate value from financial fundamentals, albeit with error, for most assets, and that the market price cannot deviate from this value in the long term.1 From the tulip bulb craze in Holland in the early seventeenth century to the South Sea Bubble in England in the 1800s to the stock markets of the present, markets have shown the capacity to correct themselves, often at the expense of those who believed that the day of reckoning would never come.
The first edition of this book was my first attempt at writing a book, and hopefully I have gained from my experiences since. In fact, this edition is very different from the prior edition for a simple reason. My other book on investment valuation, also published by John Wiley & Sons, was designed to be a comprehensive valuation book, and repeating what was said in that book here, in compressed form, strikes me as a waste of time and resources.
This book has three parts to it. The first two parts, which stretch through the first nine chapters, provide a compressed version of both discounted cash flow and relative valuation models and should be familiar territory for anyone who has done or read about valuation before. The third part, which comprises the last nine chapters, is dedicated to looking at what I call the loose ends in valuation that get short shrift in both valuation books and discussions. Included here are topics like liquidity, control, synergy, transparency, and distress, all of which affect valuations significantly but either are dealt with in a piecemeal fashion or take the form of arbitrary premiums and discounts. You will notice that this section has more references to prior work in the area and is denser, partly because there is more debate about what the evidence is and what we should do in valuation. I do not claim to have the answer to what the value of control should be in a firm, but the chapter on control should give you a road map that may help you come up with the answer on your own.
The four basic principles that I laid out in the Preface to the first edition continue to hold on this one. First, I have attempted to be as comprehensive as possible in covering the range of valuation models that are available to an analyst doing a valuation, while presenting the common elements in these models and providing a framework that can be used to pick the right model for any valuation scenario. Second, the models are presented with real-world examples, warts and all, so as to capture some of the problems inherent in applying these models. There is the obvious danger that some of these valuations will appear to be hopelessly wrong in hindsight, but this cost is well worth the benefits. Third, in keeping with my belief that valuation models are universal and not market-specific, illustrations from markets outside the United States are interspersed through the book. Finally, I have tried to make the book as modular as possible, enabling a reader to pick and choose sections of the book to read, without a significant loss of continuity.
Aswath Damodaran
New York, New York
June 2006
1But then again, as Keynes would have said, “In the long term, we are all dead.”
CHAPTER 1
Introduction to Valuation
Knowing what an asset is worth and what determines that value is a prerequisite for intelligent decision making—in choosing investments for a portfolio, in deciding on the appropriate price to pay or receive in a takeover, and in making investment, financing, and dividend choices when running a business. The premise of this book is that we can make reasonable estimates of value for most assets, and that the same fundamental principles determine the values of all types of assets, real as well as financial. Some assets are easier to value than others, the details of valuation vary from asset to asset, and the uncertainty associated with value estimates is different for different assets, but the core principles remain the same. This chapter lays out some general insights about the valuation process and outlines the role that valuation plays in portfolio management, in acquisition analysis, and in corporate finance. It also examines the three basic approaches that can be used to value an asset.
A PHILOSOPHICAL BASIS FOR VALUATION
A postulate of sound investing is that an investor does not pay more for an asset than it is worth. This statement may seem logical and obvious, but it is forgotten and rediscovered at some time in every generation and in every market. There are those who are disingenuous enough to argue that value is in the eyes of the beholder, and that any price can be justified if there are other investors willing to pay that price. That is patently absurd. Perceptions may be all that matter when the asset is a painting or a sculpture, but we do not and should not buy most assets for aesthetic or emotional reasons; we buy financial assets for the cash flows we expect to receive from them. Consequently, perceptions of value have to be backed up by reality, which implies that the price we pay for any asset should reflect the cash flows it is expected to generate. The models of valuation described in this book attempt to relate value to the level of, uncertainty about, and expected growth in these cash flows.
There are many aspects of valuation where we can agree to disagree, including estimates of true value and how long it will take for prices to adjust to that true value. But there is one point on which there can be no disagreement. Asset prices cannot be justified by merely using the argument that there will be other investors around who will pay a higher price in the future. That is the equivalent of playing a very expensive game of musical chairs, where every investor has to answer the question “Where will I be when the music stops?” before playing. The problem with investing with the expectation that when the time comes there will be a bigger fool around to whom to sell an asset is that you might end up being the biggest fool of all.
INSIDE THE VALUATION PROCESS
There are two extreme views of the valuation process. At one end are those who believe that valuation, done right, is a hard science, where there is little room for analyst views or human error. At the other are those who feel that valuation is more of an art, where savvy analysts can manipulate the numbers to generate whatever result they want. The truth does lies somewhere in the middle, and we use this section to consider three components of the valuation process that do not get the attention they deserve—the bias that analysts bring to the process, the uncertainty that they have to grapple with, and the complexity that modern technology and easy access to information have introduced into valuation.
Value First, Valuation to Follow: Bias in Valuation
We almost never start valuing a company with a blank slate. All too often, our views on a company are formed before we start inputting the numbers into the models that we use, and, not surprisingly, our conclusions tend to reflect our biases. We begin by considering the sources of bias in valuation and then move on to evaluate how bias manifests itself in most valuations. We close with a discussion of how best to minimize or at least deal with bias in valuations.
Sources of Bias
The bias in valuation starts with the companies we choose to value. These choices are almost never random, and how we make them can start laying the foundation for bias. It may be that we have read something in the press (good or bad) about the company or heard from an expert that it was undervalued or overvalued. Thus, we already begin with a perception about the company that we are about to value. We add to the bias when we collect the information we need to value the firm. The annual report and other financial statements include not only the accounting numbers but also management discussions of performance, often putting the best possible spin on the numbers. With many larger companies, it is easy to access what other analysts following the stock think about these companies. Zacks, IBES, and First Call, to name three services among many, provide summaries of how many analysts are bullish or bearish about the stock, and we can often access their complete valuations. Finally, we have the market’s own estimate of the value of the company—the market price—adding to the mix. Valuations that stray too far from this number make analysts uncomfortable, since they may reflect large valuation errors (rather than market mistakes).
In many valuations, there are institutional factors that add to this already substantial bias. For instance, equity research analysts are more likely to issue buy rather than sell recommendations; that is, they are more likely to find firms to be undervalued than overvalued.1 This can be traced partly to the difficulties analysts face in obtaining access to and collecting information on firms on which they have issued sell recommendations, and partly to pressure that they face from portfolio managers, some of whom might have large positions in the stock, and from their own firm’s investment banking arms, which have other profitable relationships with the firms in question.
The reward and punishment structure associated with finding companies to be undervalued and overvalued is also a contributor to bias. Analysts whose compensation is dependent upon whether they find firms to be under- or overvalued will be biased in their conclusions. This should explain why acquisition valuations are so often biased upward. The analysis of the deal, which is usually done by the acquiring firm’s investment banker, who also happens to be responsible for carrying the deal to its successful conclusion, can come to one of two conclusions. One is to find that the deal is seriously overpriced and recommend rejection, in which case the analyst receives the eternal gratitude of the stockholders of the acquiring firm but little else. The other is to find that the deal makes sense (no matter what the price is) and to reap the ample financial windfall from getting the deal done.
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