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Portfolio Optimization Of Small Scale Fund Using Mean-Absolute Deviation Model

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  • HIROSHI KONNO

    (Department of Industrial and Systems Engineering, Chuo University, 1-13-27 Kasuga, Bunkyo-ku, Tokyo 112, Japan)

Abstract

The purpose of this paper is to show that we are now able to apply standard portfolio optimization methods to the management of small and medium scale fund, where transaction cost and minimal transaction unit constraints are not negligible.Unit transaction cost is usually larger when the amount of investment is smaller. Also, rounding of portfolio to the nearest integer multiple of minimal transaction unit will have non negligible effect on the risk-return structure of the portfolio.We will show that the use of mean-absolute deviation model enables one to handle concave transaction cost and minimal transaction unit constraints in an efficient manner using branch and bound algorithm. Also, we will show that the minimal transaction cost rebalancing problem can be solved by using the same algorithm.

Suggested Citation

  • Hiroshi Konno, 2003. "Portfolio Optimization Of Small Scale Fund Using Mean-Absolute Deviation Model," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 6(04), pages 403-418.
  • Handle: RePEc:wsi:ijtafx:v:06:y:2003:i:04:n:s0219024903001979
    DOI: 10.1142/S0219024903001979
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    Cited by:

    1. Longsheng Cheng & Mahboubeh Shadabfar & Arash Sioofy Khoojine, 2023. "A State-of-the-Art Review of Probabilistic Portfolio Management for Future Stock Markets," Mathematics, MDPI, vol. 11(5), pages 1-34, February.

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