Edward O. Thorp

Leonard C. MacLean

William T. Ziemba

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.

Theory and Practice

The Kelly Capital Growth Investment Criterion

Stavros A. Zenios

This first volume of the Handbook of Asset and Liability Management presents the theories and methods supporting models that align a firm's operations and tactics with its uncertain environment. Detailing the symbiosis between optimization tools and financial decision-making, its original articles cover term and volatility structures, interest rates, risk-return analysis, dynamic asset allocation strategies in discrete and continuous time, the use of stochastic programming models, bond portfolio management, and the Kelly capital growth theory and practice. They effectively set the scene for Volume Two by showing how the management of risky assets and uncertain liabilities within an integrated, coherent framework remains the core problem for both financial institutions and other business enterprises as well. *Each volume presents an accurate survey of a sub-field of finance *Fills a substantial gap in this field *Broad in scope

Theory and Methodology

Handbook of Asset and Liability Management

Gerald A. Feltham

Amin H. Amershi

The three coeditors knew John Butterworth for many years and had worked closely with him on a number of research projects. We respected him as a valuable colleague and friend. We were greatly saddened by his untimely death. This book is an attempt to remember him. We dedicate the volume to John with thanks for the contributions he made to our research, to the Faculty of Commerce and Business Administration at the University of British Columbia, and to the accounting profession. This volume contains twelve invited papers on the general topic of the economic theory of information and contracts. We asked leading scholars who had known John to contribute papers. The response was very gratifying. The authors provided us with new strong research papers that should make a lasting contribution to the accounting and information economics research literature, and make us all proud to have put this volume together. The research papers in the volume are in three sections: information evaluation in multi person conte)l:ts; contracting in agencies under moral hazard; and contracting in agencies with private information. We begin part I with Jerry Feltham's review of John Butterworth's pioneering contributions to the accounting and information economics literature. This is followed by an introduction to the papers in the volume and the papers themselves.

Essays in Honor of John E. Butterworth

Economic Analysis of Information and Contracts

The Handbooks in Finance are intended to be a definitive source for comprehensive and accessible information in the field of finance. Each individual volume in the series presents an accurate self-contained survey of a sub-field of finance, suitable for use by finance and economics professors and lecturers, professional researchers, graduate students and as a teaching supplement. It is fitting that the series Handbooks in Finance devotes a handbook to Asset and Liability Management. Volume 2 focuses on applications and case studies in asset and liability management. The growth in knowledge about practical asset and liability modeling has followed the popularity of these models in diverse business settings. This volume portrays ALM in practice, in contrast to Volume 1, which addresses the theories and methodologies behind these models. In original articles practitioners and scholars describe and analyze models used in banking, insurance, money management, individual investor financial planning, pension funds, and social security. They put the traditional purpose of ALM, to control interest rate and liquidity risks, into rich and broad-minded frameworks. Readers interested in other business settings will find their discussions of financial institutions both instructive and revealing. * Focuses on pragmatic applications * Relevant to a variety of risk-management industries * Analyzes models used in most financial sectors

Applications and Case Studies

S.L. Schwartz

Alex Cowie As the twentieth century draws to a close, one of our greatest problems is the availability of energy. One way to study the energy problem is to resolve it into four areas; energy demand, energy sources, transportation of energy from sources to demand centers, and the optimal allocation of energy forms to demands. Each of these areas is extremely complex by itself. When efforts are made to tie them together, for example, to produce a National Policy, the complexities are compounded. Another way to study the energy problem, because of its political and so cial consequences, is to resolve it into geographical areas. Individual prov inces of Canada or states of the United States will have their concerns about energy within their geographical boundaries. As producer, consumer, or both, each wants to ensure an energy development program which will work to the maximum benefit of its citizens. Similarly, countries endeavor to pro tect their citizens and undertake energy policies that will assure either a con tinuation of the existing quality of life or - particularly in the case of "Third World" countries - a marked improvement in quality of life. These competing and conflicting goals call for a study which encompasses the whole world. Again, complexity is piled upon complexity. If the prob lem is not yet sufficiently complex, there is an equally complex question of the effect of energy production and use on the ecology.

Volume I Specialized Energy Policy Models

Energy Policy Modeling: United States and Canadian Experiences

Stein W. Wallace

Consisting of two parts, this book presents papers describing publicly available stochastic programming systems that are operational. It presents a diverse collection of application papers in areas such as production, supply chain and scheduling, gaming, environmental and pollution control, financial modeling, telecommunications, and electricity.

Applications of Stochastic Programming

This handbook in two parts covers key topics of the theory of financial decision making. Some of the papers discuss real applications or case studies as well. There are a number of new papers that have never been published before especially in Part II.Part I is concerned with Decision Making Under Uncertainty. This includes subsections on Arbitrage, Utility Theory, Risk Aversion and Static Portfolio Theory, and Stochastic Dominance. Part II is concerned with Dynamic Modeling that is the transition for static decision making to multiperiod decision making. The analysis starts with Risk Measures and then discusses Dynamic Portfolio Theory, Tactical Asset Allocation and Asset-Liability Management Using Utility and Goal Based Consumption-Investment Decision Models.A comprehensive set of problems both computational and review and mind expanding with many unsolved problems are in an accompanying problems book. The handbook plus the book of problems form a very strong set of materials for PhD and Masters courses both as the main or as supplementary text in finance theory, financial decision making and portfolio theory. For researchers, it is a valuable resource being an up to date treatment of topics in the classic books on these topics by Johnathan Ingersoll in 1988, and William Ziemba and Raymond Vickson in 1975 (updated 2 nd edition published in 2006).

William T. Ziemba

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