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Portfolio selection models based on characteristics of return distributions

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Author Info

  • Paweł Wnuk Lipinski

    ()
    (Faculty of Economic Sciences)

Abstract

This article concerns the problem of optimal portfolio selection. The objective of this paper is to indicate the best method and criteria for optimal portfolio selection. In order to achieve the objective six models including such optimization criteria as mean, variance, skewness, kurtosis and transaction costs are analyzed. The method of fuzzy multi-objective programming is used to transform multiple conflicting criteria into a single objective problem and to find optimal portfolios. In order to indicate the best portfolio selection model a simulation based on five years data from January 1, 2007 to December 31, 2011 was conducted. The portfolios were constructed from WIG20 stocks and WIBID 3M as risk-free asset.

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File URL: http://www.wne.uw.edu.pl/inf/wyd/WP/WNE_WP99.pdf
File Function: First version, 2013
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Bibliographic Info

Paper provided by Faculty of Economic Sciences, University of Warsaw in its series Working Papers with number 2013-14.

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Length: 28 pages
Date of creation: 2013
Date of revision:
Handle: RePEc:war:wpaper:2013-14

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Keywords: optimal portfolio; portfolio selection; fuzzy multi-objective programming; skewness; kurtosis;

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  1. Chunhachinda, Pornchai & Dandapani, Krishnan & Hamid, Shahid & Prakash, Arun J., 1997. "Portfolio selection and skewness: Evidence from international stock markets," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 143-167, February.
  2. Tang, Gordon Y. N. & Shum, Wai Cheong, 2003. "The relationships between unsystematic risk, skewness and stock returns during up and down markets," International Business Review, Elsevier, vol. 12(5), pages 523-541, October.
  3. Jean, William H., 1971. "The Extension of Portfolio Analysis to Three or More Parameters," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 6(01), pages 505-515, January.
  4. Arditti, Fred D., 1971. "Another Look at Mutual Fund Performance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 6(03), pages 909-912, June.
  5. Scott, Robert C & Horvath, Philip A, 1980. " On the Direction of Preference for Moments of Higher Order Than the Variance," Journal of Finance, American Finance Association, vol. 35(4), pages 915-19, September.
  6. Joro, Tarja & Na, Paul, 2006. "Portfolio performance evaluation in a mean-variance-skewness framework," European Journal of Operational Research, Elsevier, vol. 175(1), pages 446-461, November.
  7. Yu, Jing-Rung & Lee, Wen-Yi, 2011. "Portfolio rebalancing model using multiple criteria," European Journal of Operational Research, Elsevier, vol. 209(2), pages 166-175, March.
  8. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
  9. Samuelson, Paul A, 1970. "The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances, and Higher Moments," Review of Economic Studies, Wiley Blackwell, vol. 37(4), pages 537-42, October.
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