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Portfolio selection with conservative short-selling

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  • Kim, Jang Ho
  • Kim, Woo Chang
  • Fabozzi, Frank J.

Abstract

Mean-variance analysis is considered the foundation of portfolio selection. Among various attempts to address the limitations of the original model as formulated by Markowitz more than 60 years ago, one simple solution has been to impose constraints on weights in order to reduce efficient portfolios with extreme weights that may be caused by estimation errors in the inputs. Although no short-selling constraints are often considered, the restriction removes opportunities to gain from short-selling and short positions provide various investment opportunities such as long/short strategies. In this paper we propose a portfolio selection model that allows short positions while examining the worst case only for assets that are assigned negative weights. The proposed model constructs portfolios with conservative short positions and the conservative level can be adjusted by the investor.

Suggested Citation

  • Kim, Jang Ho & Kim, Woo Chang & Fabozzi, Frank J., 2016. "Portfolio selection with conservative short-selling," Finance Research Letters, Elsevier, vol. 18(C), pages 363-369.
  • Handle: RePEc:eee:finlet:v:18:y:2016:i:c:p:363-369
    DOI: 10.1016/j.frl.2016.05.015
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    References listed on IDEAS

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    Cited by:

    1. Chiu, Wan-Yi & Jiang, Ching-Hai, 2016. "On the weight sign of the global minimum variance portfolio," Finance Research Letters, Elsevier, vol. 19(C), pages 241-246.
    2. Giorgio Costa & Roy Kwon, 2020. "A robust framework for risk parity portfolios," Journal of Asset Management, Palgrave Macmillan, vol. 21(5), pages 447-466, September.
    3. Xingyu Yang & Jin’an He & Hong Lin & Yong Zhang, 2020. "Boosting Exponential Gradient Strategy for Online Portfolio Selection: An Aggregating Experts’ Advice Method," Computational Economics, Springer;Society for Computational Economics, vol. 55(1), pages 231-251, January.
    4. Sant'Anna, Leonardo Riegel & de Oliveira, Alan Delgado & Filomena, Tiago Pascoal & Caldeira, João Frois, 2020. "Solving the index tracking problem based on a convex reformulation for cointegration," Finance Research Letters, Elsevier, vol. 37(C).

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    More about this item

    Keywords

    Mean-variance portfolio selection; No short-selling constraint; Conservative short positions;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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