Application of Luenberger Shortage Function on the Zagreb Stock Exchange: Analysis of Efficient Market Portfolios

In order to apply the CAPM in practice, the estimation of the market portfolio presents one of the biggest challenges. Even more so after the research in early 1990's pointed out the mean-variance inefficiency of stock market capitalization-weighted indices. In the paper we perform an in-sample...

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Main Authors: Denis Dolinar, Tihana Škrinjarić, Davor Zoričić
Format: Article
Language:English
Published: Croatian Operational Research Society 2018-01-01
Series:Croatian Operational Research Review
Online Access:http://hrcak.srce.hr/file/310556
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author Denis Dolinar
Tihana Škrinjarić
Davor Zoričić
author_facet Denis Dolinar
Tihana Škrinjarić
Davor Zoričić
author_sort Denis Dolinar
collection DOAJ
description In order to apply the CAPM in practice, the estimation of the market portfolio presents one of the biggest challenges. Even more so after the research in early 1990's pointed out the mean-variance inefficiency of stock market capitalization-weighted indices. In the paper we perform an in-sample optimization for the CROBEX index constituents to test its efficiency ex post. Selected CROBEX index revisions from the period March 2005 – September 2017 are analysed. We find the index to be inefficient which confirms the results of earlier studies. However, since mean-variance optimization often yields extreme portfolio weights, thus reducing the effective number of stocks in the portfolio, the focus of this research is on testing if improvement in efficiency over the CROBEX index is possible, with respect to the portfolio deconcentration level. The Luenberger’s shortage function is added to the optimization algorithm in order to increase the number of efficient portfolios analysed.
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spelling doaj.art-80bc2614b93c4e87b27b0dcd8e7393152022-12-21T23:42:47ZengCroatian Operational Research SocietyCroatian Operational Research Review1848-02251848-99312018-01-019218319710.17535/crorr.2018.0014212379Application of Luenberger Shortage Function on the Zagreb Stock Exchange: Analysis of Efficient Market PortfoliosDenis Dolinar0Tihana Škrinjarić1Davor Zoričić2Faculty of Economics and Business, University of Zagreb, Zagreb, CroatiaFaculty of Economics and Business, University of Zagreb, Zagreb, CroatiaFaculty of Economics and Business, University of Zagreb, Zagreb, CroatiaIn order to apply the CAPM in practice, the estimation of the market portfolio presents one of the biggest challenges. Even more so after the research in early 1990's pointed out the mean-variance inefficiency of stock market capitalization-weighted indices. In the paper we perform an in-sample optimization for the CROBEX index constituents to test its efficiency ex post. Selected CROBEX index revisions from the period March 2005 – September 2017 are analysed. We find the index to be inefficient which confirms the results of earlier studies. However, since mean-variance optimization often yields extreme portfolio weights, thus reducing the effective number of stocks in the portfolio, the focus of this research is on testing if improvement in efficiency over the CROBEX index is possible, with respect to the portfolio deconcentration level. The Luenberger’s shortage function is added to the optimization algorithm in order to increase the number of efficient portfolios analysed.http://hrcak.srce.hr/file/310556
spellingShingle Denis Dolinar
Tihana Škrinjarić
Davor Zoričić
Application of Luenberger Shortage Function on the Zagreb Stock Exchange: Analysis of Efficient Market Portfolios
Croatian Operational Research Review
title Application of Luenberger Shortage Function on the Zagreb Stock Exchange: Analysis of Efficient Market Portfolios
title_full Application of Luenberger Shortage Function on the Zagreb Stock Exchange: Analysis of Efficient Market Portfolios
title_fullStr Application of Luenberger Shortage Function on the Zagreb Stock Exchange: Analysis of Efficient Market Portfolios
title_full_unstemmed Application of Luenberger Shortage Function on the Zagreb Stock Exchange: Analysis of Efficient Market Portfolios
title_short Application of Luenberger Shortage Function on the Zagreb Stock Exchange: Analysis of Efficient Market Portfolios
title_sort application of luenberger shortage function on the zagreb stock exchange analysis of efficient market portfolios
url http://hrcak.srce.hr/file/310556
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