Optimal Cardinality Constrained Portfolio Selection

Optimal Cardinality Constrained Portfolio Selection
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最优基数约束投资组合选择

DOI:
10.1287/opre.2013.1170
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发表时间:
2013-06
影响因子:
2.7
通讯作者:
Li, Duan
Li, Duan
中科院分区:
管理学3区
文献类型:
--
作者:
Gao, Jianjun;Li, Duan

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在优化和投资领域中的一个长期存在的挑战是设计一种有效的算法来从资产池中选择少量资产,使得投资组合目标得到优化。由于存在各种形式的市场摩擦,如交易成本和管理费,甚至由于考虑心理成本,这种基数约束的投资情况自然会出现。不幸的是,这样的投资组合选择问题制定的组合性质,使精确的解决方案的过程NP-困难的一般。本文主要研究基数约束下的均值-方差投资组合问题。而不是剪裁这样一个困难的问题到一般的解决方案框架的混合整数规划制定,我们探索的特殊结构和丰富的几何性质背后的数学公式。应用拉格朗日松弛的原始问题的结果在一个纯粹的基数约束的投资组合选择…
One long-standing challenge in both the optimization and investment communities is to devise an efficient algorithm to select a small number of assets from an asset pool such that a portfolio objective is optimized. This cardinality constrained investment situation naturally arises due to the presence of various forms of market friction, such as transaction costs and management fees, or even due to the consideration of mental cost. Unfortunately, the combinatorial nature of such a portfolio selection problem formulation makes the exact solution process NP-hard in general. We focus in this paper on the cardinality constrained mean-variance portfolio selection problem. Instead of tailoring such a difficult problem into the general solution framework of mixed-integer programming formulation, we explore the special structures and rich geometric properties behind the mathematical formulation. Applying the Lagrangian relaxation to the primal problem results in a pure cardinality constrained portfolio selection ...
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