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Applying Markowitz's Critical Line Algorithm

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Author Info
Andras Niedermayer
Daniel Niedermayer

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Abstract

We provide a Matlab quadratic optimization tool based on Markowitz's critical line algorithm that significantly outperforms standard software packages and a recently developed operations research algorithm. As an illustration: For a 2000 asset universe our method needs less than a second to compute the whole frontier whereas the quickest competitor needs several hours. This paper can be considered as a didactic alternative to the critical line algorithm such as presented by Markowitz and treats all steps required by the algorithm explicitly. Finally, we present a benchmark of different optimization algorithms' performance.

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Publisher Info
Paper provided by Universitaet Bern, Departement Volkswirtschaft in its series Diskussionsschriften with number dp0701.

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Date of creation: Jan 2007
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Handle: RePEc:ube:dpvwib:dp0701

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Related research
Keywords: finance; portfolio selection; efficient frontier; critical line algorithm; quadratic optimization; numerical methods;

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Find related papers by JEL classification:
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Andras Niedermayer & Daniel Niedermayer, 2006. "Applying Markowitz's Critical Line Algorithm," Diskussionsschriften dp0602, Universitaet Bern, Departement Volkswirtschaft. [Downloadable!]
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  2. Michael Wolf, 2006. "Resampling vs. Shrinkage for Benchmarked Managers," IEW - Working Papers iewwp263, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  1. Andras Niedermayer & Daniel Niedermayer, 2007. "Applying Markowitz's Critical Line Algorithm," Diskussionsschriften dp0701, Universitaet Bern, Departement Volkswirtschaft. [Downloadable!]
    Other versions:
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