Author: James Ming Chen
Publisher: Springer
ISBN: 1137544643
Category : Business & Economics
Languages : en
Pages : 345
Book Description
This survey of portfolio theory, from its modern origins through more sophisticated, “postmodern” incarnations, evaluates portfolio risk according to the first four moments of any statistical distribution: mean, variance, skewness, and excess kurtosis. In pursuit of financial models that more accurately describe abnormal markets and investor psychology, this book bifurcates beta on either side of mean returns. It then evaluates this traditional risk measure according to its relative volatility and correlation components. After specifying a four-moment capital asset pricing model, this book devotes special attention to measures of market risk in global banking regulation. Despite the deficiencies of modern portfolio theory, contemporary finance continues to rest on mean-variance optimization and the two-moment capital asset pricing model. The term postmodern portfolio theory captures many of the advances in financial learning since the original articulation of modern portfolio theory. A comprehensive approach to financial risk management must address all aspects of portfolio theory, from the beautiful symmetries of modern portfolio theory to the disturbing behavioral insights and the vastly expanded mathematical arsenal of the postmodern critique. Mastery of postmodern portfolio theory’s quantitative tools and behavioral insights holds the key to the efficient frontier of risk management.
Postmodern Portfolio Theory
Author: James Ming Chen
Publisher: Springer
ISBN: 1137544643
Category : Business & Economics
Languages : en
Pages : 345
Book Description
This survey of portfolio theory, from its modern origins through more sophisticated, “postmodern” incarnations, evaluates portfolio risk according to the first four moments of any statistical distribution: mean, variance, skewness, and excess kurtosis. In pursuit of financial models that more accurately describe abnormal markets and investor psychology, this book bifurcates beta on either side of mean returns. It then evaluates this traditional risk measure according to its relative volatility and correlation components. After specifying a four-moment capital asset pricing model, this book devotes special attention to measures of market risk in global banking regulation. Despite the deficiencies of modern portfolio theory, contemporary finance continues to rest on mean-variance optimization and the two-moment capital asset pricing model. The term postmodern portfolio theory captures many of the advances in financial learning since the original articulation of modern portfolio theory. A comprehensive approach to financial risk management must address all aspects of portfolio theory, from the beautiful symmetries of modern portfolio theory to the disturbing behavioral insights and the vastly expanded mathematical arsenal of the postmodern critique. Mastery of postmodern portfolio theory’s quantitative tools and behavioral insights holds the key to the efficient frontier of risk management.
Publisher: Springer
ISBN: 1137544643
Category : Business & Economics
Languages : en
Pages : 345
Book Description
This survey of portfolio theory, from its modern origins through more sophisticated, “postmodern” incarnations, evaluates portfolio risk according to the first four moments of any statistical distribution: mean, variance, skewness, and excess kurtosis. In pursuit of financial models that more accurately describe abnormal markets and investor psychology, this book bifurcates beta on either side of mean returns. It then evaluates this traditional risk measure according to its relative volatility and correlation components. After specifying a four-moment capital asset pricing model, this book devotes special attention to measures of market risk in global banking regulation. Despite the deficiencies of modern portfolio theory, contemporary finance continues to rest on mean-variance optimization and the two-moment capital asset pricing model. The term postmodern portfolio theory captures many of the advances in financial learning since the original articulation of modern portfolio theory. A comprehensive approach to financial risk management must address all aspects of portfolio theory, from the beautiful symmetries of modern portfolio theory to the disturbing behavioral insights and the vastly expanded mathematical arsenal of the postmodern critique. Mastery of postmodern portfolio theory’s quantitative tools and behavioral insights holds the key to the efficient frontier of risk management.
Moving Beyond Modern Portfolio Theory
Author: Jon Lukomnik
Publisher: Routledge
ISBN: 100037615X
Category : Business & Economics
Languages : en
Pages : 185
Book Description
Moving Beyond Modern Portfolio Theory: Investing That Matters tells the story of how Modern Portfolio Theory (MPT) revolutionized the investing world and the real economy, but is now showing its age. MPT has no mechanism to understand its impacts on the environmental, social and financial systems, nor any tools for investors to mitigate the havoc that systemic risks can wreck on their portfolios. It’s time for MPT to evolve. The authors propose a new imperative to improve finance’s ability to fulfil its twin main purposes: providing adequate returns to individuals and directing capital to where it is needed in the economy. They show how some of the largest investors in the world focus not on picking stocks, but on mitigating systemic risks, such as climate change and a lack of gender diversity, so as to improve the risk/return of the market as a whole, despite current theory saying that should be impossible. "Moving beyond MPT" recognizes the complex relations between investing and the systems on which capital markets rely, "Investing that matters" embraces MPT’s focus on diversification and risk adjusted return, but understands them in the context of the real economy and the total return needs of investors. Whether an investor, an MBA student, a Finance Professor or a sustainability professional, Moving Beyond Modern Portfolio Theory: Investing That Matters is thought-provoking and relevant. Its bold critique shows how the real world already is moving beyond investing orthodoxy.
Publisher: Routledge
ISBN: 100037615X
Category : Business & Economics
Languages : en
Pages : 185
Book Description
Moving Beyond Modern Portfolio Theory: Investing That Matters tells the story of how Modern Portfolio Theory (MPT) revolutionized the investing world and the real economy, but is now showing its age. MPT has no mechanism to understand its impacts on the environmental, social and financial systems, nor any tools for investors to mitigate the havoc that systemic risks can wreck on their portfolios. It’s time for MPT to evolve. The authors propose a new imperative to improve finance’s ability to fulfil its twin main purposes: providing adequate returns to individuals and directing capital to where it is needed in the economy. They show how some of the largest investors in the world focus not on picking stocks, but on mitigating systemic risks, such as climate change and a lack of gender diversity, so as to improve the risk/return of the market as a whole, despite current theory saying that should be impossible. "Moving beyond MPT" recognizes the complex relations between investing and the systems on which capital markets rely, "Investing that matters" embraces MPT’s focus on diversification and risk adjusted return, but understands them in the context of the real economy and the total return needs of investors. Whether an investor, an MBA student, a Finance Professor or a sustainability professional, Moving Beyond Modern Portfolio Theory: Investing That Matters is thought-provoking and relevant. Its bold critique shows how the real world already is moving beyond investing orthodoxy.
Modern Portfolio Optimization with NuOPTTM, S-PLUS®, and S+BayesTM
Author: Bernd Scherer
Publisher: Springer Science & Business Media
ISBN: 038727586X
Category : Business & Economics
Languages : en
Pages : 422
Book Description
In recent years portfolio optimization and construction methodologies have become an increasingly critical ingredient of asset and fund management, while at the same time portfolio risk assessment has become an essential ingredient in risk management. This trend will only accelerate in the coming years. This practical handbook fills the gap between current university instruction and current industry practice. It provides a comprehensive computationally-oriented treatment of modern portfolio optimization and construction methods using the powerful NUOPT for S-PLUS optimizer.
Publisher: Springer Science & Business Media
ISBN: 038727586X
Category : Business & Economics
Languages : en
Pages : 422
Book Description
In recent years portfolio optimization and construction methodologies have become an increasingly critical ingredient of asset and fund management, while at the same time portfolio risk assessment has become an essential ingredient in risk management. This trend will only accelerate in the coming years. This practical handbook fills the gap between current university instruction and current industry practice. It provides a comprehensive computationally-oriented treatment of modern portfolio optimization and construction methods using the powerful NUOPT for S-PLUS optimizer.
Behavioral Portfolio Management
Author: C. Thomas Howard
Publisher: Harriman House Limited
ISBN: 0857193252
Category : Business & Economics
Languages : en
Pages : 329
Book Description
The investment industry is on the cusp of a major shift, from Modern Portfolio Theory (MPT) to Behavioral Finance, with Behavioral Portfolio Management (BMP) the next step in this transition. BPM focuses on how to harness the price distortions that are driven by emotional crowds and use this to create superior portfolios. Once markets and investing are viewed through the lens of behavior, and portfolios are constructed on this basis, investable opportunities become readily apparent. Mastering your emotions is critical to the process and the insights provided by Tom Howard put investors on the path to achieving this. Forty years of Behavioral Science research presents a clear picture of how individuals make decisions; there are few signs of rationality. Indeed, emotional investors sabotage their own efforts in building long-horizon wealth. When this is combined with the misconception that active management is unable to generate superior returns, the typical emotional investor leaves hundreds of thousands, if not millions, of dollars on the table during their investment lifetimes. Howard moves on to show how industry practice, with its use of the style grid, standard deviation, correlation, maximum drawdown and the Sharpe ratio, has entrenched emotion within investing. The result is that investors construct underperforming, bubble-wrapped portfolios. So if an investor masters their own emotions, they still must challenge the emotionally-based conventional wisdom pervasive throughout the industry. Tom Howard explains how to do this. Attention is then given to measureable and persistent behavioral factors. These provide investors with a new source of information that has the potential to transform how they think about portfolio management and dramatically improve performance. Behavioral factors can be used to select the best stocks, the best active managers, and the best markets in which to invest. Once the transition to behavioral finance is made, the emotional measures of MPT will quickly be forgotten and replaced with rational concepts that allow investors to successfully build long-horizon wealth. If you take portfolio construction seriously, it is essential that you make the next step forward towards Behavioral Portfolio Management.
Publisher: Harriman House Limited
ISBN: 0857193252
Category : Business & Economics
Languages : en
Pages : 329
Book Description
The investment industry is on the cusp of a major shift, from Modern Portfolio Theory (MPT) to Behavioral Finance, with Behavioral Portfolio Management (BMP) the next step in this transition. BPM focuses on how to harness the price distortions that are driven by emotional crowds and use this to create superior portfolios. Once markets and investing are viewed through the lens of behavior, and portfolios are constructed on this basis, investable opportunities become readily apparent. Mastering your emotions is critical to the process and the insights provided by Tom Howard put investors on the path to achieving this. Forty years of Behavioral Science research presents a clear picture of how individuals make decisions; there are few signs of rationality. Indeed, emotional investors sabotage their own efforts in building long-horizon wealth. When this is combined with the misconception that active management is unable to generate superior returns, the typical emotional investor leaves hundreds of thousands, if not millions, of dollars on the table during their investment lifetimes. Howard moves on to show how industry practice, with its use of the style grid, standard deviation, correlation, maximum drawdown and the Sharpe ratio, has entrenched emotion within investing. The result is that investors construct underperforming, bubble-wrapped portfolios. So if an investor masters their own emotions, they still must challenge the emotionally-based conventional wisdom pervasive throughout the industry. Tom Howard explains how to do this. Attention is then given to measureable and persistent behavioral factors. These provide investors with a new source of information that has the potential to transform how they think about portfolio management and dramatically improve performance. Behavioral factors can be used to select the best stocks, the best active managers, and the best markets in which to invest. Once the transition to behavioral finance is made, the emotional measures of MPT will quickly be forgotten and replaced with rational concepts that allow investors to successfully build long-horizon wealth. If you take portfolio construction seriously, it is essential that you make the next step forward towards Behavioral Portfolio Management.
Managing Downside Risk in Financial Markets
Author: Frank A. Sortino
Publisher: Butterworth-Heinemann
ISBN: 9780750648639
Category : Business & Economics
Languages : en
Pages : 302
Book Description
Quantitative methods have revolutionized the area of trading, regulation, risk management, portfolio construction, asset pricing and treasury activities, and governmental activity such as central banking to name but some of the applications. Downside-risk, as a quantitative method, is an accurate measurement of investment risk, because it captures the risk of not accomplishing the investor's goal. 'Downside Risk in Financial Markets' demonstrates how downside-risk can produce better results in performance measurement and asset allocation than variance modelling. Theory, as well as the practical issues involved in its implementation, is covered and the arguments put forward emphatically show the superiority of downside risk models to variance models in terms of risk measurement and decision making. Variance considers all uncertainty to be risky. Downside-risk only considers returns below that needed to accomplish the investor's goal, to be risky. Risk is one of the biggest issues facing the financial markets today. 'Downside Risk in Financial Markets' outlines the major issues for Investment Managers and focuses on "downside-risk" as a key activity in managing risk in investment/portfolio management. Managing risk is now THE paramount topic within the financial sector and recurring losses through the 1990s has shocked financial institutions into placing much greater emphasis on risk management and control. Free Software Enclosed To help you implement the knowledge you will gain from reading this book, a CD is enclosed that contains free software programs that were previously only available to institutional investors under special licensing agreement to The pension Research Institute. This is our contribution to the advancement of professionalism in portfolio management. The Forsey-Sortino model is an executable program that: 1. Runs on any PC without the need of any additional software. 2. Uses the bootstrap procedure developed by Dr. Bradley Effron at Stanford University to uncover what could have happened, instead of relying only on what did happen in the past. This is the best procedure we know of for describing the nature of uncertainty in financial markets. 3. Fits a three parameter lognormal distribution to the bootstrapped data to allow downside risk to be calculated from a continuous distribution. This improves the efficacy of the downside risk estimates. 4. Calculates upside potential and downside risk from monthly returns on any portfolio manager. 5. Calculates upside potential and downside risk from any user defined distribution. Forsey-Sortino Source Code: 1. The source code, written in Visual Basic 5.0, is provided for institutional investors who want to add these calculations to their existing financial services. 2. No royalties are required for this source code, providing institutions inform clients of the source of these calculations. A growing number of services are now calculating downside risk in a manner that we are not comfortable with. Therefore, we want investors to know when downside risk and upside potential are calculated in accordance with the methodology described in this book. Riddles Spreadsheet: 1. Neil Riddles, former Senior Vice President and Director of Performance Analysis at Templeton Global Advisors, now COO at Hansberger Global Advisors Inc., offers a free spreadsheet in excel format. 2. The spreadsheet calculates downside risk and upside potential relative to the returns on an index Brings together a range of relevant material, not currently available in a single volume source. Provides practical information on how financial organisations can use downside risk techniques and technological developments to effectively manage risk in their portfolio management. Provides a rigorous theoretical underpinning for the use of downside risk techniques. This is important for the long-run acceptance of the methodology, since such arguments justify consultant's recommendations to pension funds and other plan sponsors.
Publisher: Butterworth-Heinemann
ISBN: 9780750648639
Category : Business & Economics
Languages : en
Pages : 302
Book Description
Quantitative methods have revolutionized the area of trading, regulation, risk management, portfolio construction, asset pricing and treasury activities, and governmental activity such as central banking to name but some of the applications. Downside-risk, as a quantitative method, is an accurate measurement of investment risk, because it captures the risk of not accomplishing the investor's goal. 'Downside Risk in Financial Markets' demonstrates how downside-risk can produce better results in performance measurement and asset allocation than variance modelling. Theory, as well as the practical issues involved in its implementation, is covered and the arguments put forward emphatically show the superiority of downside risk models to variance models in terms of risk measurement and decision making. Variance considers all uncertainty to be risky. Downside-risk only considers returns below that needed to accomplish the investor's goal, to be risky. Risk is one of the biggest issues facing the financial markets today. 'Downside Risk in Financial Markets' outlines the major issues for Investment Managers and focuses on "downside-risk" as a key activity in managing risk in investment/portfolio management. Managing risk is now THE paramount topic within the financial sector and recurring losses through the 1990s has shocked financial institutions into placing much greater emphasis on risk management and control. Free Software Enclosed To help you implement the knowledge you will gain from reading this book, a CD is enclosed that contains free software programs that were previously only available to institutional investors under special licensing agreement to The pension Research Institute. This is our contribution to the advancement of professionalism in portfolio management. The Forsey-Sortino model is an executable program that: 1. Runs on any PC without the need of any additional software. 2. Uses the bootstrap procedure developed by Dr. Bradley Effron at Stanford University to uncover what could have happened, instead of relying only on what did happen in the past. This is the best procedure we know of for describing the nature of uncertainty in financial markets. 3. Fits a three parameter lognormal distribution to the bootstrapped data to allow downside risk to be calculated from a continuous distribution. This improves the efficacy of the downside risk estimates. 4. Calculates upside potential and downside risk from monthly returns on any portfolio manager. 5. Calculates upside potential and downside risk from any user defined distribution. Forsey-Sortino Source Code: 1. The source code, written in Visual Basic 5.0, is provided for institutional investors who want to add these calculations to their existing financial services. 2. No royalties are required for this source code, providing institutions inform clients of the source of these calculations. A growing number of services are now calculating downside risk in a manner that we are not comfortable with. Therefore, we want investors to know when downside risk and upside potential are calculated in accordance with the methodology described in this book. Riddles Spreadsheet: 1. Neil Riddles, former Senior Vice President and Director of Performance Analysis at Templeton Global Advisors, now COO at Hansberger Global Advisors Inc., offers a free spreadsheet in excel format. 2. The spreadsheet calculates downside risk and upside potential relative to the returns on an index Brings together a range of relevant material, not currently available in a single volume source. Provides practical information on how financial organisations can use downside risk techniques and technological developments to effectively manage risk in their portfolio management. Provides a rigorous theoretical underpinning for the use of downside risk techniques. This is important for the long-run acceptance of the methodology, since such arguments justify consultant's recommendations to pension funds and other plan sponsors.
Postmodern Theory
Author: Steven Best
Publisher: Bloomsbury Publishing
ISBN: 1349217182
Category : Social Science
Languages : en
Pages : 336
Book Description
An introduction to and critique of the latest trends in critical theory.
Publisher: Bloomsbury Publishing
ISBN: 1349217182
Category : Social Science
Languages : en
Pages : 336
Book Description
An introduction to and critique of the latest trends in critical theory.
Postmodern Narrative Theory
Author: Mark Currie
Publisher: Bloomsbury Publishing
ISBN: 1137268123
Category : Literary Criticism
Languages : en
Pages : 206
Book Description
How have developments in literary and cultural theory transformed our understanding of narrative? What has happened to narrative in the wake of poststructuralism? What is the role and function of narrative in the contemporary world? In this revised, updated and expanded new edition of an established text, Mark Currie explores these central questions and guides students through the complex theories that have shaped the study of narrative in recent decades. Postmodern Narrative Theory, Second Edition: • establishes direct links between the workings of fictional narratives and those of the non-fictional world • charts the transition in narrative theory from its formalist beginnings, through deconstruction, towards its current concerns with the social, cultural and cognitive uses of narrative • explores the relationship between postmodern narrative and postmodern theory more closely • presents detailed illustrative readings of known literary texts such as Stevenson's Dr Jekyll and Mr Hyde and Conrad's Heart of Darkness, and now features a new chapter on Coetzee's Elizabeth Costello and Slow Man. Approachable and stimulating, this is an essential introduction for anyone studying postmodernism, the theory of narrative or contemporary fiction.
Publisher: Bloomsbury Publishing
ISBN: 1137268123
Category : Literary Criticism
Languages : en
Pages : 206
Book Description
How have developments in literary and cultural theory transformed our understanding of narrative? What has happened to narrative in the wake of poststructuralism? What is the role and function of narrative in the contemporary world? In this revised, updated and expanded new edition of an established text, Mark Currie explores these central questions and guides students through the complex theories that have shaped the study of narrative in recent decades. Postmodern Narrative Theory, Second Edition: • establishes direct links between the workings of fictional narratives and those of the non-fictional world • charts the transition in narrative theory from its formalist beginnings, through deconstruction, towards its current concerns with the social, cultural and cognitive uses of narrative • explores the relationship between postmodern narrative and postmodern theory more closely • presents detailed illustrative readings of known literary texts such as Stevenson's Dr Jekyll and Mr Hyde and Conrad's Heart of Darkness, and now features a new chapter on Coetzee's Elizabeth Costello and Slow Man. Approachable and stimulating, this is an essential introduction for anyone studying postmodernism, the theory of narrative or contemporary fiction.
Modern Investment Management
Author: Bob Litterman
Publisher: John Wiley & Sons
ISBN: 0471480657
Category : Business & Economics
Languages : en
Pages : 648
Book Description
Dieser Band füllt eine echte Marktlücke. "Goldman Sach's Modern Investment" gibt eine Einführung in moderne Investment Management Verfahren, wie sie von Goldman Sachs Asset Management verwendet werden, um erstklassige Investitionsrenditen zu erzielen. Erläutert werden u.a. die moderne Portfoliotheorie (Portfoliodiversifikation zur Risikostreuung), Capital Asset Pricing (Verfahren zur Ermittlung des Risiko-Rendite-Austauschverhältnisses von Finanzanlagen, bei dem der unterschiedliche Risikogehalt von Finanztiteln berücksichtigt wird) sowie eine Reihe aktueller Themen wie z.B. strategische Portfoliostrukturierung, Risikobudgetierung und aktives Portfolio Management. Hier erhalten Sie die Mittel an die Hand, um die Goldman Sachs Asset Management Methode für sich selbst umzusetzen. Das von Fischer Black und Bob Litterman gemeinsam entwickelte Black-Litterman Asset Allocation Model gehört zu den angesehensten und meist verwendeten Modellen zur Portfoliostrukturierung. Litterman und seine Asset Management Group sind oft die treibende Kraft, wenn es um Portfoliostrukturierung und Investmententscheidungen der 100 international größten Pensionsfonds geht.
Publisher: John Wiley & Sons
ISBN: 0471480657
Category : Business & Economics
Languages : en
Pages : 648
Book Description
Dieser Band füllt eine echte Marktlücke. "Goldman Sach's Modern Investment" gibt eine Einführung in moderne Investment Management Verfahren, wie sie von Goldman Sachs Asset Management verwendet werden, um erstklassige Investitionsrenditen zu erzielen. Erläutert werden u.a. die moderne Portfoliotheorie (Portfoliodiversifikation zur Risikostreuung), Capital Asset Pricing (Verfahren zur Ermittlung des Risiko-Rendite-Austauschverhältnisses von Finanzanlagen, bei dem der unterschiedliche Risikogehalt von Finanztiteln berücksichtigt wird) sowie eine Reihe aktueller Themen wie z.B. strategische Portfoliostrukturierung, Risikobudgetierung und aktives Portfolio Management. Hier erhalten Sie die Mittel an die Hand, um die Goldman Sachs Asset Management Methode für sich selbst umzusetzen. Das von Fischer Black und Bob Litterman gemeinsam entwickelte Black-Litterman Asset Allocation Model gehört zu den angesehensten und meist verwendeten Modellen zur Portfoliostrukturierung. Litterman und seine Asset Management Group sind oft die treibende Kraft, wenn es um Portfoliostrukturierung und Investmententscheidungen der 100 international größten Pensionsfonds geht.
Asset Pricing and Portfolio Choice Theory
Author: Kerry Back
Publisher: Oxford University Press, USA
ISBN: 0195380614
Category : Business & Economics
Languages : en
Pages : 504
Book Description
This book covers the classical results on single-period, discrete-time, and continuous-time models of portfolio choice and asset pricing. It also treats asymmetric information, production models, various proposed explanations for the equity premium puzzle, and topics important for behavioral finance.
Publisher: Oxford University Press, USA
ISBN: 0195380614
Category : Business & Economics
Languages : en
Pages : 504
Book Description
This book covers the classical results on single-period, discrete-time, and continuous-time models of portfolio choice and asset pricing. It also treats asymmetric information, production models, various proposed explanations for the equity premium puzzle, and topics important for behavioral finance.
The Efficient Market Theory and Evidence
Author: Andrew Ang
Publisher: Now Publishers Inc
ISBN: 1601984685
Category : Business & Economics
Languages : en
Pages : 99
Book Description
The Efficient Market Hypothesis (EMH) asserts that, at all times, the price of a security reflects all available information about its fundamental value. The implication of the EMH for investors is that, to the extent that speculative trading is costly, speculation must be a loser's game. Hence, under the EMH, a passive strategy is bound eventually to beat a strategy that uses active management, where active management is characterized as trading that seeks to exploit mispriced assets relative to a risk-adjusted benchmark. The EMH has been refined over the past several decades to reflect the realism of the marketplace, including costly information, transactions costs, financing, agency costs, and other real-world frictions. The most recent expressions of the EMH thus allow a role for arbitrageurs in the market who may profit from their comparative advantages. These advantages may include specialized knowledge, lower trading costs, low management fees or agency costs, and a financing structure that allows the arbitrageur to undertake trades with long verification periods. The actions of these arbitrageurs cause liquid securities markets to be generally fairly efficient with respect to information, despite some notable anomalies.
Publisher: Now Publishers Inc
ISBN: 1601984685
Category : Business & Economics
Languages : en
Pages : 99
Book Description
The Efficient Market Hypothesis (EMH) asserts that, at all times, the price of a security reflects all available information about its fundamental value. The implication of the EMH for investors is that, to the extent that speculative trading is costly, speculation must be a loser's game. Hence, under the EMH, a passive strategy is bound eventually to beat a strategy that uses active management, where active management is characterized as trading that seeks to exploit mispriced assets relative to a risk-adjusted benchmark. The EMH has been refined over the past several decades to reflect the realism of the marketplace, including costly information, transactions costs, financing, agency costs, and other real-world frictions. The most recent expressions of the EMH thus allow a role for arbitrageurs in the market who may profit from their comparative advantages. These advantages may include specialized knowledge, lower trading costs, low management fees or agency costs, and a financing structure that allows the arbitrageur to undertake trades with long verification periods. The actions of these arbitrageurs cause liquid securities markets to be generally fairly efficient with respect to information, despite some notable anomalies.