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From Rags To Riches: On Constant Proportions Investment Strategies

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  • IGOR V. EVSTIGNEEV

    (School of Economic Studies, University of Manchester, Oxford Road, Manchester M13 9PL, UK)

  • KLAUS REINER SCHENK-HOPPÉ

    (Institute for Empirical Research in Economics, University of Zurich, Blümlisalpstrasse 10, 8006 Zürich, Switzerland)

Abstract

This paper studies the performance of self-financing constant proportions trading strategies, i.e. dynamic asset allocation strategies that keep a fixed constant proportion of wealth invested in each asset in all periods in time. We prove that any self-financing constant proportions strategy yields a strictly positive exponential rate of growth of investor's wealth in a financial market in which prices are described by stationary stochastic processes and the price ratios are non-degenerate. This result might be regarded as being counterintuitive because any such strategy yields no increase of wealth under constant prices. We further show that the result also holds under small transaction costs, which is important for the viability of this approach, since constant proportions strategies require frequent rebalancing of the portfolio.

Suggested Citation

  • Igor V. Evstigneev & Klaus Reiner Schenk-Hoppé, 2002. "From Rags To Riches: On Constant Proportions Investment Strategies," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 5(06), pages 563-573.
    • Handle: RePEc:wsi:ijtafx:v:05:y:2002:i:06:n:s0219024902001547
    DOI: 10.1142/S0219024902001547
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    References listed on IDEAS

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    1. Blume, Lawrence & Easley, David, 1992. "Evolution and market behavior," Journal of Economic Theory, Elsevier, vol. 58(1), pages 9-40, October.
    2. Igor V. Evstigneev & Thorsten Hens & Klaus Reiner Schenk‐Hoppé, 2002. "Market Selection Of Financial Trading Strategies: Global Stability," Mathematical Finance, Wiley Blackwell, vol. 12(4), pages 329-339, October.
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    Cited by:

    1. Fabio Stella & Alfonso Ventura, 2011. "Defensive online portfolio selection," International Journal of Financial Markets and Derivatives, Inderscience Enterprises Ltd, vol. 2(1/2), pages 88-105.
    2. Aleksander Berentsen & Guillaume Rocheteau, 2003. "Money and the Gains from Trade," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(1), pages 263-297, February.
    3. Rama Cont & Lakshithe Wagalath, 2014. "Institutional Investors and the Dependence Structure of Asset Returns," Working Papers 2014-ACF-01, IESEG School of Management.
    4. Igor Evstigneev & Dhruv Kapoor, 2009. "Arbitrage in stationary markets," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 32(1), pages 5-12, May.
    5. Igor Evstigneev & Klaus Reiner Schenk-Hoppé, 2003. "Volatility-induced Growth in Financial Markets," Discussion Papers 03-40, University of Copenhagen. Department of Economics.
    6. Sjur Flåm, 2010. "Portfolio management without probabilities or statistics," Annals of Finance, Springer, vol. 6(3), pages 357-368, July.
    7. Aleksander Berentsen & Guillaume Rocheteau, 2004. "Money and Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(4), pages 915-944.
    8. Berentsen, Aleksander & Rocheteau, Guillaume, 2002. "On the efficiency of monetary exchange: how divisibility of money matters," Journal of Monetary Economics, Elsevier, vol. 49(8), pages 1621-1649, November.
    9. Rama Cont & Lakshithe Wagalath, 2016. "Institutional Investors And The Dependence Structure Of Asset Returns," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 1-37, March.
    10. Reto Foellmi & Urs Meister, 2005. "Product-Market Competition in the Water Industry: Voluntary Non-discriminatory Pricing," Journal of Industry, Competition and Trade, Springer, vol. 5(2), pages 115-135, June.
    11. Michael A. H. Dempster & Igor V. Evstigneev & Klaus R. Schenk-hoppe, 2007. "Volatility-induced financial growth," Quantitative Finance, Taylor & Francis Journals, vol. 7(2), pages 151-160.

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    More about this item

    Keywords

    Constant proportions strategies; balanced investment strategies; unbounded growth; stationary markets;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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