IDEAS home Printed from https://ideas.repec.org/p/arx/papers/0903.2910.html
   My bibliography  Save this paper

Application of the Kelly Criterion to Ornstein-Uhlenbeck Processes

Author

Listed:
  • Yingdong Lv
  • Bernhard K. Meister

Abstract

In this paper, we study the Kelly criterion in the continuous time framework building on the work of E.O. Thorp and others. The existence of an optimal strategy is proven in a general setting and the corresponding optimal wealth process is found. A simple formula is provided for calculating the optimal portfolio for a set of price processes satisfying some simple conditions. Properties of the optimal investment strategy for assets governed by multiple Ornstein-Uhlenbeck processes are studied. The paper ends with a short discussion of the implications of these ideas for financial markets.

Suggested Citation

  • Yingdong Lv & Bernhard K. Meister, 2009. "Application of the Kelly Criterion to Ornstein-Uhlenbeck Processes," Papers 0903.2910, arXiv.org.
    • Handle: RePEc:arx:papers:0903.2910
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/0903.2910
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hakansson, Nils H, 1971. "On Optimal Myopic Portfolio Policies, With and Without Serial Correlation of Yields," The Journal of Business, University of Chicago Press, vol. 44(3), pages 324-334, July.
    2. Vladislav Kargin, 2003. "Optimal Convergence Trading," Papers math/0302104, arXiv.org, revised Aug 2003.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bernhard K Meister & Henry CW Price, 2022. "NFTs: The Game is Afoot," Papers 2209.09956, arXiv.org.
    2. Bernhard K. Meister & Henry C. W. Price, 2022. "Darwin Among the Cryptocurrencies," Papers 2202.10340, arXiv.org.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dokuchaev, Nikolai, 2010. "Optimality of myopic strategies for multi-stock discrete time market with management costs," European Journal of Operational Research, Elsevier, vol. 200(2), pages 551-556, January.
    2. Malevergne, Y. & Sornette, D., 2007. "Self-consistent asset pricing models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 149-171.
    3. Nikolai Dokuchaev, 2015. "Modelling Possibility of Short-Term Forecasting of Market Parameters for Portfolio Selection," Annals of Economics and Finance, Society for AEF, vol. 16(1), pages 143-161, May.
    4. John Board & Charles Sutcliffe, 2007. "Joined-Up Pensions Policy in the UK: An Asset-Liability Model for Simultaneously Determining the Asset Allocation and Contribution Rate," Economic Analysis, Institute of Economic Sciences, vol. 40(3-4), pages 87-118.
    5. Schmalensee, Richard., 1978. "A simple model of risk and return on long-lived tangible assets," Working papers 1036-78., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    6. Kannai, Yakar & Selden, Larry & Wei, Xiao, 2014. "Myopic separability," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 125-144.
    7. Jianfeng Liang & Shuzhong Zhang & Duan Li, 2008. "Optioned Portfolio Selection: Models And Analysis," Mathematical Finance, Wiley Blackwell, vol. 18(4), pages 569-593, October.
    8. Sjur Flåm, 2010. "Portfolio management without probabilities or statistics," Annals of Finance, Springer, vol. 6(3), pages 357-368, July.
    9. Leonid Kogan & Raman Uppal, "undated". "Risk Aversion and Optimal Portfolio Policies in Partial and General Equilibrium Economies," Rodney L. White Center for Financial Research Working Papers 13-00, Wharton School Rodney L. White Center for Financial Research.
    10. Goll, Thomas & Kallsen, Jan, 2000. "Optimal portfolios for logarithmic utility," Stochastic Processes and their Applications, Elsevier, vol. 89(1), pages 31-48, September.
    11. Lioui, Abraham & Poncet, Patrice, 2001. "On optimal portfolio choice under stochastic interest rates," Journal of Economic Dynamics and Control, Elsevier, vol. 25(11), pages 1841-1865, November.
    12. Hagelin, Niclas & Pramborg, Bengt, 2004. "Dynamic investment strategies with and without emerging equity markets," Emerging Markets Review, Elsevier, vol. 5(2), pages 193-215, June.
    13. Yu, Mei & Takahashi, Satoru & Inoue, Hiroshi & Wang, Shouyang, 2010. "Dynamic portfolio optimization with risk control for absolute deviation model," European Journal of Operational Research, Elsevier, vol. 201(2), pages 349-364, March.
    14. David F. Babbel & Miguel A. Herce, 2018. "Stable Value Funds Performance," Risks, MDPI, vol. 6(1), pages 1-40, February.
    15. Dokuchaev, Nikolai, 2007. "Discrete time market with serial correlations and optimal myopic strategies," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1090-1104, March.
    16. Alexandra Rodkina & Nikolai Dokuchaev, 2014. "On asymptotic optimality of Merton's myopic portfolio strategies for discrete time market," Papers 1403.4329, arXiv.org, revised Nov 2014.
    17. Manel Baucells & Rakesh K. Sarin, 2019. "The Myopic Property in Decision Models," Decision Analysis, INFORMS, vol. 16(2), pages 128-141, June.
    18. Costanza Torricelli, 2009. "Models For Household Portfolios And Life-Cycle Allocations In The Presence Of Labour Income And Longevity Risk," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0017, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    19. Napat Rujeerapaiboon & Daniel Kuhn & Wolfram Wiesemann, 2016. "Robust Growth-Optimal Portfolios," Management Science, INFORMS, vol. 62(7), pages 2090-2109, July.
    20. Ziemba, William, 2016. "A response to Professor Paul A. Samuelson's objections to Kelly capital growth investing," LSE Research Online Documents on Economics 119002, London School of Economics and Political Science, LSE Library.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:0903.2910. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.