Strategic Risk Taking: A Framework for Risk Management

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Author: Aswath Damodaran

ISBN-10: 0137043775

ISBN-13: 9780137043774

Category: Risk Management

In business and investing, risk has traditionally been viewed negatively: investors and companies can lose money due to risk and therefore we typically penalize companies for taking risks. That’s why most books on risk management focus strictly on hedging or mitigating risk.\ But the enterprise’s relationship with risk should be far more nuanced. Great companies become great because they seek out and exploit intelligent risks, not because they avoid all risk. Strategic Risk Taking: A...

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Front FlapIn business and investing, risk has traditionally been viewed negatively: investors and companies can lose money due to risk and therefore we typically penalize companies for taking risks. That’s why most books on risk management focus strictly on hedging or mitigating risk.But the enterprise’s relationship with risk should be far more nuanced. Great companies become great because they seek out and exploit intelligent risks, not because they avoid all risk. Strategic Risk Taking: A Framework for Risk Management is the first book to take this broader view, encompassing both risk hedging at one end of the spectrum and strategic risk taking on the other.World-renowned financial pioneer Aswath Damodaran—one of BusinessWeek’s top 12 business school professors—is singularly well positioned to take this strategic view. Here, Damodaran helps you separate good risk (opportunities) from bad risk (threats), showing how to utilize the former while protecting yourself against the latter. He introduces powerful financial tools for evaluating risk, and demonstrates how to draw on other disciplines to make these tools even more effective.Simply put, Damodaran has written the first book that helps you use risk to increase firm value, drive higher growth and returns, and create real competitive advantage.• Risk: the history and the psychologyThe non-financial realities you must understand to successfully manage risk• Risk assessment: from the basics to the cutting edgeRisk Adjusted Value, probabilistic approaches, Value at Risk, and more• Utilizing the power of real optionsExtending option pricing models to reflect the potential upside of risk exposure• Risk management: the big pictureIntegrating traditional finance with corporate strategy—and using risk strategicallyBack FlapAbout the AuthorAswath Damodaran, Professor of Finance at NYU’s Stern School of Business, has been profiled in BusinessWeek as one of the United States’ top twelve business school professors. His researchinterests include valuation, portfolio management, and applied corporate finance. He is the author of Damodaran on Valuation; Investment Valuation; The Dark Side of Valuation; Corporate Finance: Theory and Practice; Applied Corporate Finance; and most recently, Investment Fables.Damodaran has published in The Journal of Financial and Quantitative Analysis, The Journal of Finance, The Journal of Financial Economics, and The Review of Financial Studies.Back CoverBeyond Traditional Hedging: How to Use Risk Management Financial Techniques Strategically!•How to determine which risks to ignore, which to protect against, and which to actively exploit•By Aswath Damodaran, leading finance authority and one of BusinessWeek’s top 12 business school professors•For every corporate finance executive, manager, analyst, consultant, researcher, and studentIn recent years, risk management has been defined as merely eliminating or reducingrisk exposure. Companies are learning today that is far too narrow and constraining a definition. Risk, exploited judiciously, is absolutely central to business success. In Strategic Risk Taking: A Framework for Risk Management, Aswath Damodaran covers both sides of the risk equation, offering a complete framework for maximizing profit by limiting some risks and exploiting others.Damodaran presents a thorough and insightful review of the state-of-the-art in risk measurement, hedging, and mitigation. He covers a broad spectrum of risk assessment tools, including risk adjusted value, scenario analysis, decision trees, VAR, and real options. But Damodaran goes far beyond other treatments of the subject, helping you decide when to deliberately increase exposure to certain risks, and clearly assess the potential dangers and payoffs of doing so.http://pages.stern.nyu.edu/~adamodar/

A ROADMAP FOR UNDERSTANDING RISKA ROADMAP FOR UNDERSTANDING RISK\ his book is written for three very diverse and different audiences—people who have to manage and make the big decisions on risk (risk managers), analysts and others whose job it is to assess risk (risk assessors), and students of risk who are interested in getting a perspective on how the thinking on risk has evolved over time.\ The study of risk has its deepest roots in economics and insurance. For centuries, researchers have attempted to grapple with the basic question of what risk is and how to measure risk aversion. Chapters 1 through 4 represent my attempt to give some historical perspective on how our thinking has evolved over the past few centuries, with a healthy dose of what psychologists have discovered in recent years about how human beings react to risk. In particular, these studies find that human beings are neither as rational nor as easy to categorize when it comes to behavior when confronted with risk as traditional economists had assumed them to be. Although much of this work would usually be categorized as behavioral economics or finance, understanding the findings is the first step to managing risk.\ The next four chapters (Chapters 5–8) look at how risk assessment techniques have evolved over time. Chapter 5 has its roots in portfolio theory and examines ways in which we can adjust the value of risky assets for that risk. Chapter 6 borrows heavily from the decision sciences and statistics and discusses ways in which probabilistic approaches can be used to evaluate risk. Chapter 7 takes a closer look at value at risk (VaR), an extension of the probabilistic approach that has acquired a substantial following particularly in commercial and investment banks. Chapter 8 returns to financial theory and looks at how extensions of option pricing models can be used to incorporate the potential upside from risk exposure.\ The last four chapters of this book represent an attempt to meld traditional finance and corporate strategy to arrive at a complete story for risk management, which goes beyond just risk hedging (which has been the finance focus) or competitive advantages (which has been the strategic imperative). These chapters represent the most innovative part of this book, because they attempt to bring together analyses and insights from different functional areas into a big picture of risk management.\ The three groups—economists, risk assessors, and risk managers—have different skills and interests, and the tension shows in the book, with each part of the book reflecting these differences. Each group will find a portion of the book most attuned to their interests with the other parts representing more of a hike into unfamiliar but rewarding territory.\ This book is modular and can be read in parts. In other words, there is little in the first eight chapters that I draw on in the last four chapters. Much as I would love to believe that you will buy this book and read it cover to cover, I am a realist. Given your time constraints and interests, you may skip through sections to get to the parts you want to read. In other words, if you are already familiar with risk assessment tools and are more interested in the big picture of risk management, skip forward to Chapter 9. If, on the other hand, you are more interested in risk assessment and how the different approaches fit together, you can browse through Chapters 5 through 8. Having said that, there is value added to looking at the parts not specifically aimed at you. In other words, risk assessors and analysts will be able to do their jobs better if they understand how what they do (from risk adjusting discount rates to simulations) fits into the big picture of risk management. At the same time, risk managers will be able to define what risk assessments they need if they can see the whole array of choices. Finally, economists studying risk aversion may gain from knowing the practical issues facing both risk assessors and risk managers. As I note, there is an extraordinary number of basic and critical questions that are unanswered in the theory.\ There are excellent books and papers in each of the three areas right now, but they focus on one of the three, largely because different disciplines have been involved in each one: traditional economics and behavioral economics for the first part, corporate finance for the second, and corporate strategy for the third. I have tried to bridge the different functional areas across this book. It is entirely possible that people in any one of these functional areas will view what I say (in the section directed at them) as too simplistic or already well established, but I hope I have been able to bring insights into each of the three areas from being aware of the other two.\ I do not claim that anything in this book, standing by itself, is new and revolutionary. In fact, I will concede that each chapter covers a topic that has been covered in more depth elsewhere, with entire books dedicated to some topics; there are several books on real options and quite a few on VaR, for instance. What I think is lacking in the areas of risk management is a spanning of work done in different areas with a link to practical risk management. Consequently, I used my own biased perspectives to try to create a narrative that would be useful to a decision maker involved in risk analysis and management. I hope you find it useful.\ © Copyright Pearson Education. All rights reserved.

CONTENTSINTRODUCTIONA Roadmap for Understanding Risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . .xviiCHAPTERS 1—4The Economists’ View of Risk Aversion and theBehavioral Response . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1CHAPTER 1What Is Risk? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3A Very Short History of Risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3Defining Risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5Dealing with Risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7Risk and Reward . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7Risk and Innovation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7Risk Management . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8The Conventional View and Its Limitations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8A More Expansive View of Risk Management . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9CHAPTER 2Why Do We Care About Risk? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11The Duality of Risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11I Am Rich, But Am I Happy? Utility and Wealth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12The St. Petersburg Paradox and Expected Utility: The Bernoulli Contribution . . . . . . . . .12Mathematics Meets Economics: Von Neumann and Morgenstern . . . . . . . . . . . . . . . . . . .14The Gambling Exception? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16Small Versus Large Gambles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17Measuring Risk Aversion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18Certainty Equivalents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18Risk Aversion Coefficients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .20viii ContentsOther Views on Risk Aversion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23Prospect Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .26Consequences of Views on Risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28Investment Choices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .28Corporate Finance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .29Valuation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .30Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30CHAPTER 3What Do We Think About Risk? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35General Principles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35Evidence on Risk Aversion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36Experimental Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .36Survey Measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .47Pricing of Risky Assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .50Evidence from Racetracks, Gambling, and Game Shows . . . . . . . . . . . . . . . . . . . . . . . . . . .57Propositions about Risk Aversion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63CHAPTER 4How Do We Measure Risk? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65Fate and Divine Providence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65Estimating Probabilities: The First Step to Quantifying Risk . . . . . . . . . . . . . . . . . . . 66Sampling, The Normal Distributions, and Updating . . . . . . . . . . . . . . . . . . . . . . . . . 68The Use of Data: Life Tables and Estimates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70The Insurance View of Risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70Financial Assets and the Advent of Statistical Risk Measures . . . . . . . . . . . . . . . . . . . 71The Markowitz Revolution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73Efficient Portfolios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .73The Mean-Variance Framework . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .74Implications for Risk Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .76Introducing the Riskless Asset—The Capital Asset Pricing Model(CAPM) Arrives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77Mean Variance Challenged . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78Fat Tails and Power-Law distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .79Asymmetric Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .81Jump Process Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .83Data Power: Arbitrage Pricing and Multifactor Models . . . . . . . . . . . . . . . . . . . . . . . 83Arbitrage Pricing Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .84Multifactor and Proxy Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .85The Evolution of Risk Measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86CHAPTERS 5—8Risk Assessment: Tools and Techniques . . . . . . . . . . . . . . . . . . 97CHAPTER 5Risk-Adjusted Value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99Discounted Cash Flow Approaches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99The DCF Value of an Asset . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .100Risk-Adjusted Discount Rates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .101Certainty-Equivalent Cash Flows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .106Hybrid Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .111DCF Risk Adjustment: Pluses and Minuses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .116Post-Valuation Risk Adjustment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117Rationale for Post-Valuation Adjustments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .117Downside Risks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .118Other Discounts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .125Upside Risks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .126The Dangers of Post-Valuation Adjustments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .127Relative Valuation Approaches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128Basis for Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .128Risk Adjustment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .129DCF Versus Relative Valuation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .130The Practice of Risk Adjustment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131Fixed Discount . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136Firm-Specific Discount . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137Determinants of Illiquidity Discounts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .137Estimating Firm-Specific Illiquidity Discount . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .139Synthetic Bid-Ask Spread . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142Option-Based Discount . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143CHAPTER 6Probabilistic Approaches: Scenario Analysis, DecisionTrees, and Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .145Scenario Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145Best Case/Worst Case . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .146Multiple Scenario Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .147Decision Trees . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153Steps in Decision Tree Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .153An Example of a Decision Tree . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .156Use in Decision Making . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .160Issues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .161Risk-Adjusted Value and Decision Trees . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .162Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164Steps in Simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .164An Example of a Simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .168Use in Decision Making . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .173Simulations with Constraints. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .174Issues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .176Risk-Adjusted Value and Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .177An Overall Assessment of Probabilistic Risk Assessment Approaches . . . . . . . . . . . 179Comparing the Approaches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .179Complement or Replacement for Risk Adjusted Value . . . . . . . . . . . . . . . . . . . . . . . . . . . .180In Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .181Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 182Fitting the Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183Is the Data Discrete or Continuous? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .183How Symmetric Is the Data? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .188Are There Upper or Lower Limits on Data Values? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .194How Likely Are You to See Extreme Values of Data, Relative to the Middle Values? . . . . .195Tests for Fit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196Tests of Normality. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199CHAPTER 7Value at Risk (VaR) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .201What Is VaR? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201A Short History of VaR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202Measuring VaR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 204Variance-Covariance Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .204Historical Simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .210Monte Carlo Simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .214Comparing Approaches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .217Limitations of VaR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 218VaR Can Be Wrong . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .218Narrow Focus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .221Suboptimal Decisions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .222Extensions of VaR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223VaR as a Risk Assessment Tool . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227CHAPTER 8Real Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .231The Essence of Real Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231Real Options, Risk-Adjusted Value, and Probabilistic Assessments . . . . . . . . . . . . . 233Real Option Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235The Option to Delay an Investment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .235The Option to Expand . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .246The Option to Abandon an Investment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .253Caveats on Real Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 257Real Options in a Risk Management Framework . . . . . . . . . . . . . . . . . . . . . . . . . . . 260Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 261Option Payoffs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 262Determinants of Option Value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 264Option Pricing Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 266The Binomial Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .266The Black-Scholes Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .270CHAPTERS 9–12Risk Management: The Big Picture . . . . . . . . . . . . . . . . . . . . . 277CHAPTER 9Risk Management: The Big Picture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .279Risk and Value: The Conventional View . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 280Discounted Cash Flow Valuation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .280Relative Valuation Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .285Expanding the Analysis of Risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287Discounted Cash Flow Valuation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .288Relative Valuation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .295Option Pricing Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .298A Final Assessment of Risk Management . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 301When Does Risk Hedging Pay Off? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .302When Does Risk Management Pay Off? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .303Risk Hedging Versus Risk Management . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .303Developing a Risk Management Strategy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 304Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 306CHAPTER 10Risk Management: Profiling and Hedging . . . . . . . . . . . . . . . . . . . . . . . .309Risk Profile . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309Step 1: List the Risks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .310Step 2: Categorize the Risks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .310Step 3: Measure Exposure to Each Risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .311Step 4: Analyze the Risks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .318To Hedge or Not to Hedge? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 319The Costs of Hedging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .319The Benefits of Hedging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .320The Prevalence of Hedging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .326Does Hedging Increase Value? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .329Alternative Techniques for Hedging Risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 331Investment Choices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .331Financing Choices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .332Insurance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .333Derivatives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .334Picking the Right Hedging Tool . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .338Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 339CHAPTER 11Strategic Risk Management . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .341Why Exploit Risk? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 341Value and Risk Taking . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .342Evidence on Risk Taking and Value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .344How Do You Exploit Risk? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345The Information Advantage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .346The Speed Advantage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .348The Experience/Knowledge Advantage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .350The Resource Advantage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .352Flexibility . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .353Building the Risk-Taking Organization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 356Corporate Governance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .356Personnel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .358Reward/Punishment Mechanisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .360Organization Size, Structure, and Culture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .363Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365CHAPTER 12Risk Management: First Principles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3671. Risk Is Everywhere . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3672. Risk Is Threat and Opportunity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3693. We Are Ambivalent About Risks and Not Always Rational About theWay We Assess or Deal with Risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3694. Not All Risk Is Created Equal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3705. Risk Can Be Measured . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3726. Good Risk Measurement/Assessment Should Lead to Better Decisions . . . . . . . 3737. The Key to Good Risk Management Is Deciding Which Risks to Avoid,Which Ones to Pass Through, and Which to Exploit . . . . . . . . . . . . . . . . . . . . . 3748. The Payoff to Better Risk Management Is Higher Value . . . . . . . . . . . . . . . . . . . . 3759. Risk Management Is Part of Everyone’s Job . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37610. Successful Risk-Taking Organizations Do Not Get There by Accident . . . . . . . 376Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 378Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .379