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Resampling vs. Shrinkage for Benchmarked Managers

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Author Info
Michael Wolf
Abstract

A well-known pitfall of Markowitz (1952) portfolio optimization is that the sample covariance matrix, which is a critical input, is very erroneous when there are many assets to choose from. If unchecked, this phenomenon skews the optimizer towards extreme weights that tend to perform poorly in the real world. One solution that has been proposed is to shrink the sample covariance matrix by pulling its most extreme elements towards more moderate values. An alternative solution is the resampled eciency suggested by Michaud (1998). This paper compares shrinkage estimation to resampled efficiency. In addition, it studies whether the two techniques can be combined to achieve a further improvement. All this is done in the context of an active portfolio manager who aims to outperform a benchmark index and who is evaluated by his realized information ratio.

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Paper provided by Institute for Empirical Research in Economics - IEW in its series IEW - Working Papers with number iewwp263.

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Date of creation: Jan 2006
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Handle: RePEc:zur:iewwpx:263

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Keywords: Covariance matrix; Markowitz optimization; Resampling; Shrinkage; Tracking error;

Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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  1. Andras Niedermayer & Daniel Niedermayer, 2007. "Applying Markowitz's Critical Line Algorithm," Diskussionsschriften dp0701, Universitaet Bern, Departement Volkswirtschaft. [Downloadable!]
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