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Long-term capital growth: the good and bad properties of the Kelly and fractional Kelly capital growth criteria

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  • Leonard Maclean
  • Edward Thorp
  • William Ziemba

Abstract

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  • Leonard Maclean & Edward Thorp & William Ziemba, 2010. "Long-term capital growth: the good and bad properties of the Kelly and fractional Kelly capital growth criteria," Quantitative Finance, Taylor & Francis Journals, vol. 10(7), pages 681-687.
    • Handle: RePEc:taf:quantf:v:10:y:2010:i:7:p:681-687
    DOI: 10.1080/14697688.2010.506108
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    Citations

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    Cited by:

    1. Leonard C. MacLean & Yonggan Zhao & William T. Ziemba, 2016. "Optimal capital growth with convex shortfall penalties," Quantitative Finance, Taylor & Francis Journals, vol. 16(1), pages 101-117, January.
    2. D. J. Johnstone, 2021. "Accounting information, disclosure, and expected utility: Do investors really abhor uncertainty?," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 48(1-2), pages 3-35, January.
    3. Barge-Gil, Andrés & García-Hiernaux, Alfredo, 2019. "Staking plans in sports betting under unknown true probabilities of the event," MPRA Paper 92196, University Library of Munich, Germany.
    4. Claudio Fontana & Wolfgang J. Runggaldier, 2012. "Diffusion-based models for financial markets without martingale measures," Papers 1209.4449, arXiv.org, revised Feb 2013.
    5. Chung-Han Hsieh & John A. Gubner & B. Ross Barmish, 2018. "Rebalancing Frequency Considerations for Kelly-Optimal Stock Portfolios in a Control-Theoretic Framework," Papers 1807.05265, arXiv.org, revised Aug 2018.
    6. Chung-Han Hsieh, 2020. "On Feedback Control in Kelly Betting: An Approximation Approach," Papers 2004.14048, arXiv.org, revised May 2020.
    7. Green, Lawrence & Sung, Ming-Chien & Ma, Tiejun & Johnson, Johnnie E. V., 2019. "To what extent can new web-based technology improve forecasts? Assessing the economic value of information derived from Virtual Globes and its rate of diffusion in a financial market," European Journal of Operational Research, Elsevier, vol. 278(1), pages 226-239.
    8. Haluk Yener & Thanasis Stengos & M. Ege Yazgan, 2017. "Analysis of the seeds of the debt crisis in Europe," The European Journal of Finance, Taylor & Francis Journals, vol. 23(15), pages 1589-1610, December.
    9. Chung-Han Hsieh & B. Ross Barmish, 2017. "On Drawdown-Modulated Feedback Control in Stock Trading," Papers 1710.01503, arXiv.org.
    10. Haluk Yener & Fuat Can Beylunioglu, 2017. "Outperforming A Stochastic Benchmark Under Borrowing And Rectangular Constraints," Working Papers 1701, The Center for Financial Studies (CEFIS), Istanbul Bilgi University.
    11. Rose D. Baker & Ian G. McHale, 2013. "Optimal Betting Under Parameter Uncertainty: Improving the Kelly Criterion," Decision Analysis, INFORMS, vol. 10(3), pages 189-199, September.
    12. Andrés Barge-Gil & Alfredo Garcia-Hiernaux, 2020. "Staking in Sports Betting Under Unknown Probabilities: Practical Guide for Profitable Bettors," Journal of Sports Economics, , vol. 21(6), pages 593-609, August.
    13. MacLean, Leonard C. & Zhao, Yonggan & Ziemba, William T., 2014. "Optimal capital growth with convex shortfall penalties," LSE Research Online Documents on Economics 59292, London School of Economics and Political Science, LSE Library.
    14. MacLean, Leonard C. & Zhao, Yonggan & Ziemba, William T., 2016. "Optimal capital growth with convex shortfall penalties," LSE Research Online Documents on Economics 65486, London School of Economics and Political Science, LSE Library.
    15. Hassanniakalager, Arman & Sermpinis, Georgios & Stasinakis, Charalampos & Verousis, Thanos, 2020. "A conditional fuzzy inference approach in forecasting," European Journal of Operational Research, Elsevier, vol. 283(1), pages 196-216.
    16. Chung-Han Hsieh & B. Ross Barmish & John A. Gubner, 2017. "Kelly Betting Can Be Too Conservative," Papers 1710.01786, arXiv.org.
    17. Chung-Han Hsieh, 2022. "On Solving Robust Log-Optimal Portfolio: A Supporting Hyperplane Approximation Approach," Papers 2202.03858, arXiv.org.
    18. Chung-Han Hsieh, 2023. "On Data-Driven Drawdown Control with Restart Mechanism in Trading," Papers 2303.02613, arXiv.org.
    19. Chung-Han Hsieh & B. Ross Barmish & John A. Gubner, 2019. "The Impact of Execution Delay on Kelly-Based Stock Trading: High-Frequency Versus Buy and Hold," Papers 1907.08771, arXiv.org.
    20. Chung-Han Hsieh, 2020. "Necessary and Sufficient Conditions for Frequency-Based Kelly Optimal Portfolio," Papers 2004.12099, arXiv.org.
    21. Chung-Han Hsieh & B. Ross Barmish & John A. Gubner, 2018. "At What Frequency Should the Kelly Bettor Bet?," Papers 1801.06737, arXiv.org, revised Aug 2018.
    22. David Johnstone & Stewart Jones & Oliver Jones & Steve Tulig, 2021. "Scoring Probability Forecasts by a User’s Bets Against a Market Consensus," Decision Analysis, INFORMS, vol. 18(3), pages 169-184, September.

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