The Kelly Capital Growth Investment Criterion: Theory and Practice

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World Scientific, 2011 - Business & Economics - 853 pages
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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.
 

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Contents

Part II Classic papers and theories
141
Part III The relationship of Kelly to asset allocation
299
Part IV Critics and assessing the good and bad properties of Kelly
456
Part V Utility foundations
573
Part VI Evidence of the use of Kelly type strategies by the great investors and others
655
Bibliography
833
Author Index
839
Subject Index
843
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