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On the weight sign of the global minimum variance portfolio

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  • Chiu, Wan-Yi
  • Jiang, Ching-Hai

Abstract

We investigate the one-to-one mapping between the global minimum variance portfolio and regression hedge coefficients. The analysis demonstrates that assets with a superior (inferior) regression hedged effect in terms of marginal return create a negative (positive) weight. The asset has a weight of zero when both the asset and regression hedge enjoy the same marginal return. In addition, we develop a modified information ratio to compare the magnitudes of two arbitrary weights of the global minimum variance portfolio. From the perspective of hedging, we determine that the asset with a higher modified information ratio yields a larger weight.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:finlet:v:19:y:2016:i:c:p:241-246
    DOI: 10.1016/j.frl.2016.08.008
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    References listed on IDEAS

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    1. Victor DeMiguel & Lorenzo Garlappi & Raman Uppal, 2009. "Optimal Versus Naive Diversification: How Inefficient is the 1-N Portfolio Strategy?," The Review of Financial Studies, Society for Financial Studies, vol. 22(5), pages 1915-1953, May.
    2. Kim, Jang Ho & Kim, Woo Chang & Fabozzi, Frank J., 2013. "Composition of robust equity portfolios," Finance Research Letters, Elsevier, vol. 10(2), pages 72-81.
    3. repec:bla:jfinan:v:53:y:1998:i:5:p:1821-1827 is not listed on IDEAS
    4. Maillet, Bertrand & Tokpavi, Sessi & Vaucher, Benoit, 2015. "Global minimum variance portfolio optimisation under some model risk: A robust regression-based approach," European Journal of Operational Research, Elsevier, vol. 244(1), pages 289-299.
    5. 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.
    6. repec:dau:papers:123456789/14735 is not listed on IDEAS
    7. Gabriel Frahm, 2010. "Linear statistical inference for global and local minimum variance portfolios," Statistical Papers, Springer, vol. 51(4), pages 789-812, December.
    8. Das, Sanjiv & Markowitz, Harry & Scheid, Jonathan & Statman, Meir, 2010. "Portfolio Optimization with Mental Accounts," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(2), pages 311-334, April.
    9. Fu, Chengbo & Jacoby, Gady & Wang, Yan, 2015. "Investor sentiment and portfolio selection," Finance Research Letters, Elsevier, vol. 15(C), pages 266-273.
    10. Anderson, Ronald W & Danthine, Jean-Pierre, 1981. "Cross Hedging," Journal of Political Economy, University of Chicago Press, vol. 89(6), pages 1182-1196, December.
    11. Alexander Kempf & Christoph Memmel, 2006. "Estimating the global Minimum Variance Portfolio," Schmalenbach Business Review (sbr), LMU Munich School of Management, vol. 58(4), pages 332-348, October.
    12. Bertrand Maillet & Sessi Tokpavi & Benoît Vaucher, 2015. "Global minimum variance portfolio optimisation under some model risk : A robust regression-based approach," Post-Print hal-02312329, HAL.
    13. Scherer, Bernd, 2011. "A note on the returns from minimum variance investing," Journal of Empirical Finance, Elsevier, vol. 18(4), pages 652-660, September.
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    Cited by:

    1. Dai, Zhifeng & Wen, Fenghua, 2018. "Some improved sparse and stable portfolio optimization problems," Finance Research Letters, Elsevier, vol. 27(C), pages 46-52.
    2. Bednarek, Ziemowit & Patel, Pratish, 2018. "Understanding the outperformance of the minimum variance portfolio," Finance Research Letters, Elsevier, vol. 24(C), pages 175-178.
    3. Chiu, Wan-Yi, 2022. "Stepwise expanding the frontier one asset at a time," Finance Research Letters, Elsevier, vol. 46(PA).

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    More about this item

    Keywords

    Global minimum variance portfolio; Inverse covariance matrix; Regression hedge; Modified information ratio;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

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