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Generating a Target Payoff Distribution with the Cheapest Dynamic Portfolio: An Application to Hedge Fund Replication

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  • Akihiko Takahashi

    (Faculty of Economics, University of Tokyo)

  • Kyo Yamamoto

    (GCI Asset Management, Inc.)

Abstract

This paper provides a new method to construct a dynamic optimal portfolio for asset management. This method generates a target payoff distribution using the cheapest dynamic trading strategy. As a practical example, the method is applied to hedge fund replication. This dynamic portfolio strategy is regarded as an extension of a hedge fund replication methodology that was developed by Kat and Palaro (2005a, b) and Papageorgiou, Remillard and Hocquard (2008) to address multiple trading assets with both long and short positions. Empirical analyses show that such an extension significantly improves the performance of replication in practice.

Suggested Citation

  • Akihiko Takahashi & Kyo Yamamoto, 2009. "Generating a Target Payoff Distribution with the Cheapest Dynamic Portfolio: An Application to Hedge Fund Replication," CIRJE F-Series CIRJE-F-624, CIRJE, Faculty of Economics, University of Tokyo.
  • Handle: RePEc:tky:fseres:2009cf624
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    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2009/2009cf624.pdf
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    References listed on IDEAS

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    1. Dybvig, Philip H, 1988. "Distributional Analysis of Portfolio Choice," The Journal of Business, University of Chicago Press, vol. 61(3), pages 369-393, July.
    2. Vikas Agarwal, 2004. "Risks and Portfolio Decisions Involving Hedge Funds," Review of Financial Studies, Society for Financial Studies, vol. 17(1), pages 63-98.
    3. Amin, Gaurav S. & Kat, Harry M., 2003. "Hedge Fund Performance 1990–2000: Do the “Money Machines” Really Add Value?," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 38(02), pages 251-274, June.
    4. Fung, William & Hsieh, David A., 2000. "Performance Characteristics of Hedge Funds and Commodity Funds: Natural vs. Spurious Biases," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 35(03), pages 291-307, September.
    5. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    6. Akihiko Takahashi & Kyo Yamamoto, 2010. "A New Hedge Fund Replication Method with the Dynamic Optimal Portfolio," CIRJE F-Series CIRJE-F-726, CIRJE, Faculty of Economics, University of Tokyo.
    7. Fung, William & Hsieh, David A, 2001. "The Risk in Hedge Fund Strategies: Theory and Evidence from Trend Followers," Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 313-341.
    8. Akihiko Takahashi & Nakahiro Yoshida, 2004. "An Asymptotic Expansion Scheme for Optimal Investment Problems," Statistical Inference for Stochastic Processes, Springer, vol. 7(2), pages 153-188, May.
    9. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    10. Akihiko Takahashi & Kyo Yamamoto, 2010. "A New Hedge Fund Replication Method With The Dynamic Optimal Portfolio," CARF F-Series CARF-F-211, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    11. Jakša Cvitanić & Vassilis Polimenis & Fernando Zapatero, 2008. "Optimal portfolio allocation with higher moments," Annals of Finance, Springer, vol. 4(1), pages 1-28, January.
    12. Fung, William & Hsieh, David A, 1997. "Empirical Characteristics of Dynamic Trading Strategies: The Case of Hedge Funds," Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 275-302.
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