Warm-Start Heuristic for Stochastic Portfolio Optimization with Fixed and Proportional Transaction Costs

被引:0
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作者
Tiago P. Filomena
Miguel A. Lejeune
机构
[1] Federal University of Rio Grande do Sul,Management School
[2] The George Washington University,Department of Decision Sciences
关键词
Large-scale optimization; Stochastic programming; Portfolio optimization; Transaction costs; Fat-tailed returns;
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摘要
We consider a probabilistic portfolio optimization model including fixed and proportional transaction costs. We derive a deterministic equivalent of the probabilistic model for fat-tailed portfolio returns. We develop a method which finds provably near-optimal solutions in minimal amount of time for industry-sized (up to 2000 assets) problems. To solve the mixed-integer nonlinear programming (MINLP) deterministic formulation equivalent to the stochastic problem, we design a mathematical programming-based warm-start heuristic. The tests show the computational efficiency of the heuristic which is more than an order of magnitude faster than Cplex in finding high-quality solutions.
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页码:308 / 329
页数:21
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