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不允许卖空证券组合选择的有效子集 被引量:13

EFFICIENT SUBSET FOR PORTFOLIO SELECTION WITHOUT SHORT SELLING
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摘要 证券组合选择的有效子集是指它可取代原有的基本证券集来生成Markowitz有效组合前沿.本文给出一个证券集的子集在不允许卖空的条件下是全集的有效子集的充要条件. An efficient subset for portfolio selection means that it may replace the original security set to generate the Markowitz portfolio efficient frontier. This paper gives a necessary and sufficient condition for a subset to be efficient without short selling.
作者 史树4 杨杰
出处 《应用数学学报》 CSCD 北大核心 2003年第2期286-299,共14页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金
关键词 不允许卖空证券组合选择 有效子集 Markowitz理论 有效组合前沿 共同基金分离问题 资本资产定价模型 收益 LAGRANGE乘子 拐角组合 极小风险子集 Markowitz portfolio selection theory, short selling, mean-variance analysis, efficient portfolio frontier, efficient subset
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参考文献16

  • 1杨杰,史树中.证券集的组合前沿分类与有效子集[J].经济数学,2001,18(1):8-18. 被引量:10
  • 2史树中,杨杰.证券组合选择的有效子集[J].应用数学学报,2002,25(1):176-186. 被引量:25
  • 3Markowitz H. Portfolio Selection. Journal of Finance, 1952, 7:77-91.
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二级参考文献15

  • 1[1]Markowitz H. Portfolio Selection. Journal of Finance, 1952, 7:77-91
  • 2[2]Markowitz H. Portfolio Selection: Efficient Diversification of Investments. Cambridge: Basil Blackwell, 1959, 1991 Second ed.
  • 3[3]Michaud R O. Efficient Asset Management: A Practical Guide to Stock Portfolio Optimization and Asset Allocation. Boston: Havard Business School Press, 1998
  • 4[4]Szego G P. Portfolio Theory, with Application to Bank Asset Management. New York: Acad. Press,1980
  • 5[5]Huberman G, Kandel S. Mean-variance Spanning. Journal of Finance, 1987, 42:873-888
  • 6[6]Ross S. Mutual Fund Separation in Financial Theory: The Separating Distributions. Journal of Economic Theory, 1978, 17:254-286
  • 7[7]Merton R C. On the Microeconomic Theory of Investment under Uncertainty. In: Arrow K J, Intriligator M, eds., Handbook of Mathematical Economics, Vol. Ⅱ, Amsterdam: North-Holland, 1982, 601-609
  • 8[8]Merton R C. Continuous-Time Finance, Rev. ed. Oxford: Blackwell, 1992
  • 9[9]Rothschild M, Stiglitz J E. Increasing Risk I: A Definition. Journal of Economic Theory, 1970, 2:225-243
  • 10[10]Rothschild M, Stiglitz J E. Increasing Risk II: Its Economic Consequences. Journal of Economic Theory, 1971, 3:66-84

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二级引证文献15

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