Author: Leonard C. MacLean
Publisher: World Scientific
ISBN: 9814293490
Category : Business & Economics
Languages : en
Pages : 883
Book Description
This volume provides the definitive treatment of fortune's formula or the Kelly capital growth criterion as it is often called. The strategy is to maximize long run wealth of the investor by maximizing the period by period expected utility of wealth with a logarithmic utility function. Mathematical theorems show that only the log utility function maximizes asymptotic long run wealth and minimizes the expected time to arbitrary large goals. In general, the strategy is risky in the short term but as the number of bets increase, the Kelly bettor's wealth tends to be much larger than those with essentially different strategies. So most of the time, the Kelly bettor will have much more wealth than these other bettors but the Kelly strategy can lead to considerable losses a small percent of the time. There are ways to reduce this risk at the cost of lower expected final wealth using fractional Kelly strategies that blend the Kelly suggested wager with cash. The various classic reprinted papers and the new ones written specifically for this volume cover various aspects of the theory and practice of dynamic investing. Good and bad properties are discussed, as are fixed-mix and volatility induced growth strategies. The relationships with utility theory and the use of these ideas by great investors are featured.
The Kelly Capital Growth Investment Criterion
Author: Leonard C. MacLean
Publisher: World Scientific
ISBN: 9814293490
Category : Business & Economics
Languages : en
Pages : 883
Book Description
This volume provides the definitive treatment of fortune's formula or the Kelly capital growth criterion as it is often called. The strategy is to maximize long run wealth of the investor by maximizing the period by period expected utility of wealth with a logarithmic utility function. Mathematical theorems show that only the log utility function maximizes asymptotic long run wealth and minimizes the expected time to arbitrary large goals. In general, the strategy is risky in the short term but as the number of bets increase, the Kelly bettor's wealth tends to be much larger than those with essentially different strategies. So most of the time, the Kelly bettor will have much more wealth than these other bettors but the Kelly strategy can lead to considerable losses a small percent of the time. There are ways to reduce this risk at the cost of lower expected final wealth using fractional Kelly strategies that blend the Kelly suggested wager with cash. The various classic reprinted papers and the new ones written specifically for this volume cover various aspects of the theory and practice of dynamic investing. Good and bad properties are discussed, as are fixed-mix and volatility induced growth strategies. The relationships with utility theory and the use of these ideas by great investors are featured.
Publisher: World Scientific
ISBN: 9814293490
Category : Business & Economics
Languages : en
Pages : 883
Book Description
This volume provides the definitive treatment of fortune's formula or the Kelly capital growth criterion as it is often called. The strategy is to maximize long run wealth of the investor by maximizing the period by period expected utility of wealth with a logarithmic utility function. Mathematical theorems show that only the log utility function maximizes asymptotic long run wealth and minimizes the expected time to arbitrary large goals. In general, the strategy is risky in the short term but as the number of bets increase, the Kelly bettor's wealth tends to be much larger than those with essentially different strategies. So most of the time, the Kelly bettor will have much more wealth than these other bettors but the Kelly strategy can lead to considerable losses a small percent of the time. There are ways to reduce this risk at the cost of lower expected final wealth using fractional Kelly strategies that blend the Kelly suggested wager with cash. The various classic reprinted papers and the new ones written specifically for this volume cover various aspects of the theory and practice of dynamic investing. Good and bad properties are discussed, as are fixed-mix and volatility induced growth strategies. The relationships with utility theory and the use of these ideas by great investors are featured.
Fortune's Formula
Author: William Poundstone
Publisher: Hill and Wang
ISBN: 0374707081
Category : Business & Economics
Languages : en
Pages : 399
Book Description
In 1956, two Bell Labs scientists discovered the scientific formula for getting rich. One was mathematician Claude Shannon, neurotic father of our digital age, whose genius is ranked with Einstein's. The other was John L. Kelly Jr., a Texas-born, gun-toting physicist. Together they applied the science of information theory—the basis of computers and the Internet—to the problem of making as much money as possible, as fast as possible. Shannon and MIT mathematician Edward O. Thorp took the "Kelly formula" to Las Vegas. It worked. They realized that there was even more money to be made in the stock market. Thorp used the Kelly system with his phenomenally successful hedge fund, Princeton-Newport Partners. Shannon became a successful investor, too, topping even Warren Buffett's rate of return. Fortune's Formula traces how the Kelly formula sparked controversy even as it made fortunes at racetracks, casinos, and trading desks. It reveals the dark side of this alluring scheme, which is founded on exploiting an insider's edge. Shannon believed it was possible for a smart investor to beat the market—and William Poundstone's Fortune's Formula will convince you that he was right.
Publisher: Hill and Wang
ISBN: 0374707081
Category : Business & Economics
Languages : en
Pages : 399
Book Description
In 1956, two Bell Labs scientists discovered the scientific formula for getting rich. One was mathematician Claude Shannon, neurotic father of our digital age, whose genius is ranked with Einstein's. The other was John L. Kelly Jr., a Texas-born, gun-toting physicist. Together they applied the science of information theory—the basis of computers and the Internet—to the problem of making as much money as possible, as fast as possible. Shannon and MIT mathematician Edward O. Thorp took the "Kelly formula" to Las Vegas. It worked. They realized that there was even more money to be made in the stock market. Thorp used the Kelly system with his phenomenally successful hedge fund, Princeton-Newport Partners. Shannon became a successful investor, too, topping even Warren Buffett's rate of return. Fortune's Formula traces how the Kelly formula sparked controversy even as it made fortunes at racetracks, casinos, and trading desks. It reveals the dark side of this alluring scheme, which is founded on exploiting an insider's edge. Shannon believed it was possible for a smart investor to beat the market—and William Poundstone's Fortune's Formula will convince you that he was right.
Beat the Market
Author: Edward O. Thorp
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 248
Book Description
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 248
Book Description
Red-Blooded Risk
Author: Aaron Brown
Publisher: John Wiley & Sons
ISBN: 1118043863
Category : Business & Economics
Languages : en
Pages : 437
Book Description
An innovative guide that identifies what distinguishes the best financial risk takers from the rest From 1987 to 1992, a small group of Wall Street quants invented an entirely new way of managing risk to maximize success: risk management for risk-takers. This is the secret that lets tiny quantitative edges create hedge fund billionaires, and defines the powerful modern global derivatives economy. The same practical techniques are still used today by risk-takers in finance as well as many other fields. Red-Blooded Risk examines this approach and offers valuable advice for the calculated risk-takers who need precise quantitative guidance that will help separate them from the rest of the pack. While most commentators say that the last financial crisis proved it's time to follow risk-minimizing techniques, they're wrong. The only way to succeed at anything is to manage true risk, which includes the chance of loss. Red-Blooded Risk presents specific, actionable strategies that will allow you to be a practical risk-taker in even the most dynamic markets. Contains a secret history of Wall Street, the parts all the other books leave out Includes an intellectually rigorous narrative addressing what it takes to really make it in any risky activity, on or off Wall Street Addresses essential issues ranging from the way you think about chance to economics, politics, finance, and life Written by Aaron Brown, one of the most calculated and successful risk takers in the world of finance, who was an active participant in the creation of modern risk management and had a front-row seat to the last meltdown Written in an engaging but rigorous style, with no equations Contains illustrations and graphic narrative by renowned manga artist Eric Kim There are people who disapprove of every risk before the fact, but never stop anyone from doing anything dangerous because they want to take credit for any success. The recent financial crisis has swelled their ranks, but in learning how to break free of these people, you'll discover how taking on the right risk can open the door to the most profitable opportunities.
Publisher: John Wiley & Sons
ISBN: 1118043863
Category : Business & Economics
Languages : en
Pages : 437
Book Description
An innovative guide that identifies what distinguishes the best financial risk takers from the rest From 1987 to 1992, a small group of Wall Street quants invented an entirely new way of managing risk to maximize success: risk management for risk-takers. This is the secret that lets tiny quantitative edges create hedge fund billionaires, and defines the powerful modern global derivatives economy. The same practical techniques are still used today by risk-takers in finance as well as many other fields. Red-Blooded Risk examines this approach and offers valuable advice for the calculated risk-takers who need precise quantitative guidance that will help separate them from the rest of the pack. While most commentators say that the last financial crisis proved it's time to follow risk-minimizing techniques, they're wrong. The only way to succeed at anything is to manage true risk, which includes the chance of loss. Red-Blooded Risk presents specific, actionable strategies that will allow you to be a practical risk-taker in even the most dynamic markets. Contains a secret history of Wall Street, the parts all the other books leave out Includes an intellectually rigorous narrative addressing what it takes to really make it in any risky activity, on or off Wall Street Addresses essential issues ranging from the way you think about chance to economics, politics, finance, and life Written by Aaron Brown, one of the most calculated and successful risk takers in the world of finance, who was an active participant in the creation of modern risk management and had a front-row seat to the last meltdown Written in an engaging but rigorous style, with no equations Contains illustrations and graphic narrative by renowned manga artist Eric Kim There are people who disapprove of every risk before the fact, but never stop anyone from doing anything dangerous because they want to take credit for any success. The recent financial crisis has swelled their ranks, but in learning how to break free of these people, you'll discover how taking on the right risk can open the door to the most profitable opportunities.
Great Investment Ideas
Author: William T Ziemba
Publisher: World Scientific Publishing Company
ISBN: 9813144386
Category : Electronic books
Languages : en
Pages : 297
Book Description
Great Investment Ideas is a collection of articles published in the Journal of Portfolio Management from 1993 to 2015. The book contains useful ideas for investment management and trading and discusses the methods, results and evaluation of great investors. It also covers important topics such as the effect of errors in means, variances and co-variances in portfolio selection problems, stock market crashes and stock market anomalies, portfolio theory and practice, evaluation theory, etc. This book is a must-have publication for investors and financial experts, researchers and graduate students in finance.
Publisher: World Scientific Publishing Company
ISBN: 9813144386
Category : Electronic books
Languages : en
Pages : 297
Book Description
Great Investment Ideas is a collection of articles published in the Journal of Portfolio Management from 1993 to 2015. The book contains useful ideas for investment management and trading and discusses the methods, results and evaluation of great investors. It also covers important topics such as the effect of errors in means, variances and co-variances in portfolio selection problems, stock market crashes and stock market anomalies, portfolio theory and practice, evaluation theory, etc. This book is a must-have publication for investors and financial experts, researchers and graduate students in finance.
Lifecycle Investing
Author: Ian Ayres
Publisher: ReadHowYouWant.com
ISBN: 1458758427
Category : Business & Economics
Languages : en
Pages : 358
Book Description
Diversification provides a well-known way of getting something close to a free lunch: by spreading money across different kinds of investments, investors can earn the same return with lower risk (or a much higher return for the same amount of risk). This strategy, introduced nearly fifty years ago, led to such strategies as index funds. What if we were all missing out on another free lunch that’s right under our noses? InLifecycle Investing, Barry Nalebuff and Ian Ayres-two of the most innovative thinkers in business, law, and economics-have developed tools that will allow nearly any investor to diversify their portfolios over time. By using leveraging when young-a controversial idea that sparked hate mail when the authors first floated it in the pages ofForbes-investors of all stripes, from those just starting to plan to those getting ready to retire, can substantially reduce overall risk while improving their returns. InLifecycle Investing, readers will learn How to figure out the level of exposure and leverage that’s right foryou How the Lifecycle Investing strategy would have performed in the historical market Why it will work even if everyone does it Whennotto adopt the Lifecycle Investing strategy Clearly written and backed by rigorous research,Lifecycle Investingpresents a simple but radical idea that will shake up how we think about retirement investing even as it provides a healthier nest egg in a nicely feathered nest.
Publisher: ReadHowYouWant.com
ISBN: 1458758427
Category : Business & Economics
Languages : en
Pages : 358
Book Description
Diversification provides a well-known way of getting something close to a free lunch: by spreading money across different kinds of investments, investors can earn the same return with lower risk (or a much higher return for the same amount of risk). This strategy, introduced nearly fifty years ago, led to such strategies as index funds. What if we were all missing out on another free lunch that’s right under our noses? InLifecycle Investing, Barry Nalebuff and Ian Ayres-two of the most innovative thinkers in business, law, and economics-have developed tools that will allow nearly any investor to diversify their portfolios over time. By using leveraging when young-a controversial idea that sparked hate mail when the authors first floated it in the pages ofForbes-investors of all stripes, from those just starting to plan to those getting ready to retire, can substantially reduce overall risk while improving their returns. InLifecycle Investing, readers will learn How to figure out the level of exposure and leverage that’s right foryou How the Lifecycle Investing strategy would have performed in the historical market Why it will work even if everyone does it Whennotto adopt the Lifecycle Investing strategy Clearly written and backed by rigorous research,Lifecycle Investingpresents a simple but radical idea that will shake up how we think about retirement investing even as it provides a healthier nest egg in a nicely feathered nest.
The Mathematics of Gambling
Author: Edward Thorp
Publisher: Lyle Stuart
ISBN: 9780897460194
Category : Games
Languages : en
Pages : 161
Book Description
Publisher: Lyle Stuart
ISBN: 9780897460194
Category : Games
Languages : en
Pages : 161
Book Description
Kelly Capital Growth Investment Criterion, The: Theory And Practice
Author: Leonard C Maclean
Publisher: World Scientific
ISBN: 981446581X
Category : Business & Economics
Languages : en
Pages : 883
Book Description
This volume provides the definitive treatment of fortune's formula or the Kelly capital growth criterion as it is often called. The strategy is to maximize long run wealth of the investor by maximizing the period by period expected utility of wealth with a logarithmic utility function. Mathematical theorems show that only the log utility function maximizes asymptotic long run wealth and minimizes the expected time to arbitrary large goals. In general, the strategy is risky in the short term but as the number of bets increase, the Kelly bettor's wealth tends to be much larger than those with essentially different strategies. So most of the time, the Kelly bettor will have much more wealth than these other bettors but the Kelly strategy can lead to considerable losses a small percent of the time. There are ways to reduce this risk at the cost of lower expected final wealth using fractional Kelly strategies that blend the Kelly suggested wager with cash. The various classic reprinted papers and the new ones written specifically for this volume cover various aspects of the theory and practice of dynamic investing. Good and bad properties are discussed, as are fixed-mix and volatility induced growth strategies. The relationships with utility theory and the use of these ideas by great investors are featured.Contents: "The Early Ideas and Contributions: "Introduction to the Early Ideas and ContributionsExposition of a New Theory on the Measurement of Risk (translated by Louise Sommer) "(D Bernoulli)"A New Interpretation of Information Rate "(J R Kelly, Jr)"Criteria for Choice among Risky Ventures "(H A Latan)"Optimal Gambling Systems for Favorable Games "(L Breiman)"Optimal Gambling Systems for Favorable Games "(E O Thorp)"Portfolio Choice and the Kelly Criterion "(E O Thorp)"Optimal Investment and Consumption Strategies under Risk for a Class of Utility Functions "(N H Hakansson)"On Optimal Myopic Portfolio Policies, with and without Serial Correlation of Yields "(N H Hakansson)"Evidence on the ?Growth-Optimum-Model? "(R Roll)""Classic Papers and Theories: "Introduction to the Classic Papers and TheoriesCompetitive Optimality of Logarithmic Investment "(R M Bell and T M Cover)"A Bound on the Financial Value of Information "(A R Barron and T M Cover)"Asymptotic Optimality and Asymptotic Equipartition Properties of Log-Optimum Investment "(P H Algoet and T M Cover)"Universal Portfolios "(T M Cover)"The Cost of Achieving the Best Portfolio in Hindsight "(E Ordentlich and T M Cover)"Optimal Strategies for Repeated Games "(M Finkelstein and R Whitley)"The Effect of Errors in Means, Variances and Co-Variances on Optimal Portfolio Choice "(V K Chopra and W T Ziemba)"Time to Wealth Goals in Capital Accumulation "(L C MacLean, W T Ziemba, and Y Li)"Survival and Evolutionary Stability of Rule the Kelly "(I V Evstigneev, T Hens, and K R Schenk-Hopp)"Application of the Kelly Criterion to Ornstein-Uhlenbeck Processes "(Y Lv and B K Meister)""The Relationship of Kelly Optimization to Asset Allocation: "Introduction to the Relationship of Kelly Optimization to Asset AllocationSurvival and Growth with a Liability: Optimal Portfolio Strategies in Continuous Time "(S Browne)"Growth versus Security in Dynamic Investment Analysis "(L C MacLean, W T Ziemba, and G Blazenko)"Capital Growth with Security "(L C MacLean, R Sanegre, Y Zhao, and W T Ziemba)"
Publisher: World Scientific
ISBN: 981446581X
Category : Business & Economics
Languages : en
Pages : 883
Book Description
This volume provides the definitive treatment of fortune's formula or the Kelly capital growth criterion as it is often called. The strategy is to maximize long run wealth of the investor by maximizing the period by period expected utility of wealth with a logarithmic utility function. Mathematical theorems show that only the log utility function maximizes asymptotic long run wealth and minimizes the expected time to arbitrary large goals. In general, the strategy is risky in the short term but as the number of bets increase, the Kelly bettor's wealth tends to be much larger than those with essentially different strategies. So most of the time, the Kelly bettor will have much more wealth than these other bettors but the Kelly strategy can lead to considerable losses a small percent of the time. There are ways to reduce this risk at the cost of lower expected final wealth using fractional Kelly strategies that blend the Kelly suggested wager with cash. The various classic reprinted papers and the new ones written specifically for this volume cover various aspects of the theory and practice of dynamic investing. Good and bad properties are discussed, as are fixed-mix and volatility induced growth strategies. The relationships with utility theory and the use of these ideas by great investors are featured.Contents: "The Early Ideas and Contributions: "Introduction to the Early Ideas and ContributionsExposition of a New Theory on the Measurement of Risk (translated by Louise Sommer) "(D Bernoulli)"A New Interpretation of Information Rate "(J R Kelly, Jr)"Criteria for Choice among Risky Ventures "(H A Latan)"Optimal Gambling Systems for Favorable Games "(L Breiman)"Optimal Gambling Systems for Favorable Games "(E O Thorp)"Portfolio Choice and the Kelly Criterion "(E O Thorp)"Optimal Investment and Consumption Strategies under Risk for a Class of Utility Functions "(N H Hakansson)"On Optimal Myopic Portfolio Policies, with and without Serial Correlation of Yields "(N H Hakansson)"Evidence on the ?Growth-Optimum-Model? "(R Roll)""Classic Papers and Theories: "Introduction to the Classic Papers and TheoriesCompetitive Optimality of Logarithmic Investment "(R M Bell and T M Cover)"A Bound on the Financial Value of Information "(A R Barron and T M Cover)"Asymptotic Optimality and Asymptotic Equipartition Properties of Log-Optimum Investment "(P H Algoet and T M Cover)"Universal Portfolios "(T M Cover)"The Cost of Achieving the Best Portfolio in Hindsight "(E Ordentlich and T M Cover)"Optimal Strategies for Repeated Games "(M Finkelstein and R Whitley)"The Effect of Errors in Means, Variances and Co-Variances on Optimal Portfolio Choice "(V K Chopra and W T Ziemba)"Time to Wealth Goals in Capital Accumulation "(L C MacLean, W T Ziemba, and Y Li)"Survival and Evolutionary Stability of Rule the Kelly "(I V Evstigneev, T Hens, and K R Schenk-Hopp)"Application of the Kelly Criterion to Ornstein-Uhlenbeck Processes "(Y Lv and B K Meister)""The Relationship of Kelly Optimization to Asset Allocation: "Introduction to the Relationship of Kelly Optimization to Asset AllocationSurvival and Growth with a Liability: Optimal Portfolio Strategies in Continuous Time "(S Browne)"Growth versus Security in Dynamic Investment Analysis "(L C MacLean, W T Ziemba, and G Blazenko)"Capital Growth with Security "(L C MacLean, R Sanegre, Y Zhao, and W T Ziemba)"
Scalar and Vector Risk in the General Framework of Portfolio Theory
Author: Stanislaus Maier-Paape
Publisher: Springer Nature
ISBN: 3031333217
Category : Mathematics
Languages : en
Pages : 236
Book Description
This book is the culmination of the authors’ industry-academic collaboration in the past several years. The investigation is largely motivated by bank balance sheet management problems. The main difference between a bank balance sheet management problem and a typical portfolio optimization problem is that the former involves multiple risks. The related theoretical investigation leads to a significant extension of the scope of portfolio theories. The book combines practitioners’ perspectives and mathematical rigor. For example, to guide the bank managers to trade off different Pareto efficient points, the topological structure of the Pareto efficient set is carefully analyzed. Moreover, on top of computing solutions, the authors focus the investigation on the qualitative properties of those solutions and their financial meanings. These relations, such as the role of duality, are most useful in helping bank managers to communicate their decisions to the different stakeholders. Finally, bank balance sheet management problems of varying levels of complexity are discussed to illustrate how to apply the central mathematical results. Although the primary motivation and application examples in this book are focused in the area of bank balance sheet management problems, the range of applications of the general portfolio theory is much wider. As a matter of fact, most financial problems involve multiple types of risks. Thus, the book is a good reference for financial practitioners in general and students who are interested in financial applications. This book can also serve as a nice example of a case study for applied mathematicians who are interested in engaging in industry-academic collaboration.
Publisher: Springer Nature
ISBN: 3031333217
Category : Mathematics
Languages : en
Pages : 236
Book Description
This book is the culmination of the authors’ industry-academic collaboration in the past several years. The investigation is largely motivated by bank balance sheet management problems. The main difference between a bank balance sheet management problem and a typical portfolio optimization problem is that the former involves multiple risks. The related theoretical investigation leads to a significant extension of the scope of portfolio theories. The book combines practitioners’ perspectives and mathematical rigor. For example, to guide the bank managers to trade off different Pareto efficient points, the topological structure of the Pareto efficient set is carefully analyzed. Moreover, on top of computing solutions, the authors focus the investigation on the qualitative properties of those solutions and their financial meanings. These relations, such as the role of duality, are most useful in helping bank managers to communicate their decisions to the different stakeholders. Finally, bank balance sheet management problems of varying levels of complexity are discussed to illustrate how to apply the central mathematical results. Although the primary motivation and application examples in this book are focused in the area of bank balance sheet management problems, the range of applications of the general portfolio theory is much wider. As a matter of fact, most financial problems involve multiple types of risks. Thus, the book is a good reference for financial practitioners in general and students who are interested in financial applications. This book can also serve as a nice example of a case study for applied mathematicians who are interested in engaging in industry-academic collaboration.
Data Analysis and Related Applications 3
Author: Yiannis Dimotikalis
Publisher: John Wiley & Sons
ISBN: 1786309629
Category : Computers
Languages : en
Pages : 308
Book Description
The book is a collective work by a number of leading scientists, analysts, engineers, mathematicians and statisticians who have been working at the forefront of data analysis and related applications, arising from data science, operations research, engineering, machine learning or statistics. The chapters of this collaborative work represent a cross-section of current research interests in the above scientific areas. The collected material has been divided into appropriate sections to provide the reader with both theoretical and applied information on data analysis methods, models and techniques, along with appropriate applications. The published data analysis methodology includes the updated state-of-the-art rapidly developed theory and applications of data expansion, both of which go through outstanding changes nowadays. New approaches are expected to deliver and have been developed, including Artificial Intelligence.
Publisher: John Wiley & Sons
ISBN: 1786309629
Category : Computers
Languages : en
Pages : 308
Book Description
The book is a collective work by a number of leading scientists, analysts, engineers, mathematicians and statisticians who have been working at the forefront of data analysis and related applications, arising from data science, operations research, engineering, machine learning or statistics. The chapters of this collaborative work represent a cross-section of current research interests in the above scientific areas. The collected material has been divided into appropriate sections to provide the reader with both theoretical and applied information on data analysis methods, models and techniques, along with appropriate applications. The published data analysis methodology includes the updated state-of-the-art rapidly developed theory and applications of data expansion, both of which go through outstanding changes nowadays. New approaches are expected to deliver and have been developed, including Artificial Intelligence.