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Symmetry and Order in the Portfolio Allocation Problem

Author

Listed:
  • Lapan, Harvey E.
  • Hennessy, David A.

Abstract

This research studies the role of multivariate distribution structure on random asset returns in determining the optimal allocation vector for an expected utility maximizing agent. By carefully disturbing symmetry in the distribution of the, possibly covarying, returns, we ascertain the ordinal structure of the allocation vector. Rank order of allocations is also established when a permutation symmetric vector is mapped into the returns vector through location and scale shifts. The results are extended to pertain for partitions of the state space.

Suggested Citation

  • Lapan, Harvey E. & Hennessy, David A., 2002. "Symmetry and Order in the Portfolio Allocation Problem," Staff General Research Papers Archive 5106, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genres:5106
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    Cited by:

    1. Hennessy, David A. & Lapan, Harvey, 2007. "When different market concentration indices agree," Economics Letters, Elsevier, vol. 95(2), pages 234-240, May.
    2. Lapan, Harvey E. & Hennessy, David A., 2006. "A note on cost arrangement and market performance in a multi-product Cournot oligopoly," International Journal of Industrial Organization, Elsevier, vol. 24(3), pages 583-591, May.
    3. Cheung, Ka Chun, 2006. "Optimal portfolio problem with unknown dependency structure," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 167-175, February.
    4. Lapan, Harvey E. & Hennessy, David A., 2004. "Cost arrangement and welfare in a multi-product Cournot oligopoly," ISU General Staff Papers 200410230700001202, Iowa State University, Department of Economics.
    5. Hennessy, David A. & Saak, Alexander E. & Babcock, Bruce A., 2003. "Fair Value Of Whole-Farm And Crop-Specific Revenue Insurance," 2003 Annual meeting, July 27-30, Montreal, Canada 21988, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    6. Marat Ibragimov & Rustam Ibragimov, 2007. "Market Demand Elasticity and Income Inequality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 579-587, September.
    7. Xiaohu Li & Yinping You, 2014. "A note on allocation of portfolio shares of random assets with Archimedean copula," Annals of Operations Research, Springer, vol. 212(1), pages 155-167, January.
    8. repec:ebl:ecbull:v:7:y:2004:i:1:p:1-7 is not listed on IDEAS
    9. Cheung, Ka Chun & Yang, Hailiang, 2004. "Ordering optimal proportions in the asset allocation problem with dependent default risks," Insurance: Mathematics and Economics, Elsevier, vol. 35(3), pages 595-609, December.

    More about this item

    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G1 - Financial Economics - - General Financial Markets

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