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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Erscheint auch als: Druck-Ausgabe Erscheint auch als: Druck-Ausgabe Erscheint auch als: Druck-Ausgabe Erscheint auch als: Druck-Ausgabe |

Material Type: | Document, Internet resource |

Document Type: | Book, Computer File, Internet Resource |

All Authors / Contributors: |
Edward O Thorp; Leonard C MacLean; W T Ziemba; World Scientific (Firm) |

ISBN: | 9814293504 9789814293501 9814293490 9789814293495 |

OCLC Number: | 1005228153 |

Description: | 1 Online-Ressource (xxvi, 853 Seiten) Illustrationen, Porträts |

Series Title: | World Scientific handbook in financial economic series, v. 3 |

Responsibility: | editors, Leonard C. MacLean, Edward O. Thorp, William T. Ziemba |

### Abstract:

Pt. IV. Critics and assessing the good and bad properties of Kelly. 30. Introduction to the good and bad properties of Kelly. 31. Lifetime portfolio selection by dynamic stochastic programming / P.A. Samuelson. 32. Models of optimal capital accumulation and portfolio selection and the captial growth criterion / W.T. Ziemba and R.G. Vickson. 33. The "fallacy" of maximizing the geometric mean in long sequences of investing or gambling / P.A. Samuelson. 34. Why we should not make mean log of wealth big though years to act are long / P.A. Samuelson. 35. Investment for the long run : New evidence for an old rule / H.M. Markowitz. 36. Understanding the Kelly criterion / E.O. Thorp. 37. Concave utilities are distinguished by their optimal strategies / E.O. Thorp and R. Whitley. 38. Medium term simulations of the full Kelly and fractional Kelly strategies investment / L.C. MacLean [und weitere]. 39. Good and bad Kelly properties of the Kelly criterion / L.C. MacLean, E.O. Thorp, and W.T. Ziemba -- pt. V. Utility foundations. 40. Introduction to the utility foundations of Kelly. 41. Capital growth theory / N.H. Hakansson [und weitere]. 42. A preference foundation for log mean-variance criteria in portfolio choice problems/ D.G. Luenberger. 43. Portfolio choice with endogenous utility : A large deviations approach / M. Stutzer. 44. On growth-optimality vs. security against underperformance / M. Stutzer -- pt. VI. Evidence of the use of Kelly type strategies by the great investors and others. 45. Introduction to the evidence of the use of Kelly type strategies by the great investors and others. 46. Efficiency of the market for racetrack betting / D.B. Hausch, W.T. Ziemba, and M.E. Rubinstein. 47. Transactions costs, extent of inefficiencies, entries and multiple wagers in a racetrack betting model / D.B. Hausch and W.T. Ziemba. 48. The Dr. Z betting system in England / W.T. Ziemba [und weitere]. 49. A half century of returns on levered and unlevered portfolios of stocks, bonds and bills, with and without small stocks / R.R. Grauer and N.H. Hakansson. 50. A dynamic portfolio of investment strategies : Applying capital growth with drawdown penalties / J.M. Mulvey, M. Bilgili, and T.M. Vural. 51. Intertemporal surplus management / M. Rudolf and W.T. Ziemba. 52. The symmetric downside-risk Sharpe ratio and the evaluation of great investors and speculators / W.T. Ziemba. 53. Postscript : The Renaissance Medallion Fund / R.E.S. Ziemba and W.T. Ziemba. 54. The Kelly criterion in blackjack sports betting and the stock market / E.O. Thorp, In S.A. Zenios and W.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

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