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The 1/N investment strategy is optimal under high model ambiguity

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  • Pflug, Georg Ch.
  • Pichler, Alois
  • Wozabal, David

Abstract

The 1/N investment strategy, i.e. the strategy to split one’s wealth uniformly between the available investment possibilities, recently received plenty of attention in the literature. In this paper, we demonstrate that the uniform investment strategy is rational in situations where an agent is faced with a sufficiently high degree of model uncertainty in the form of ambiguous loss distributions. More specifically, we use a classical risk minimization framework to show that, for a broad class of risk measures, as the uncertainty concerning the probabilistic model increases, the optimal decisions tend to the uniform investment strategy.

Suggested Citation

  • Pflug, Georg Ch. & Pichler, Alois & Wozabal, David, 2012. "The 1/N investment strategy is optimal under high model ambiguity," Journal of Banking & Finance, Elsevier, vol. 36(2), pages 410-417.
  • Handle: RePEc:eee:jbfina:v:36:y:2012:i:2:p:410-417
    DOI: 10.1016/j.jbankfin.2011.07.018
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    Cited by:

    1. Nikolaus Hautsch & Stefan Voigt, 2017. "Large-Scale Portfolio Allocation Under Transaction Costs and Model Uncertainty," Papers 1709.06296, arXiv.org.
    2. Wolff, Dominik & Bessler, Wolfgang & Opfer, Heiko, 2012. "Multi-Asset Portfolio Optimization and Out-of-Sample Performance: An Evaluation of Black-Litterman, Mean Variance and Naïve Diversification Approaches," Annual Conference 2012 (Goettingen): New Approaches and Challenges for the Labor Market of the 21st Century 62020, Verein für Socialpolitik / German Economic Association.
    3. Tasca, Paolo & Mavrodiev, Pavlin & Schweitzer, Frank, 2014. "Quantifying the impact of leveraging and diversification on systemic risk," Journal of Financial Stability, Elsevier, vol. 15(C), pages 43-52.
    4. Ammann, Manuel & Coqueret, Guillaume & Schade, Jan-Philip, 2016. "Characteristics-based portfolio choice with leverage constraints," Journal of Banking & Finance, Elsevier, vol. 70(C), pages 23-37.
    5. David E. Allen & Michael McAleer & Robert J. Powell & Abhay K. Singh, 2015. "Down-side Risk Metrics as Portfolio Diversification Strategies across the GFC," Documentos de Trabajo del ICAE 2015-19, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    6. Behr, Patrick & Guettler, Andre & Miebs, Felix, 2013. "On portfolio optimization: Imposing the right constraints," Journal of Banking & Finance, Elsevier, vol. 37(4), pages 1232-1242.
    7. repec:eee:ejores:v:262:y:2017:i:3:p:1164-1180 is not listed on IDEAS
    8. Branger, Nicole & Larsen, Linda Sandris & Munk, Claus, 2013. "Robust portfolio choice with ambiguity and learning about return predictability," Journal of Banking & Finance, Elsevier, vol. 37(5), pages 1397-1411.
    9. Sergio Ortobelli Lozza & Enrico Angelelli & Daniele Toninelli, 2011. "Set-Portfolio Selection with the Use of Market Stochastic Bounds," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 47(0), pages 5-24, November.
    10. Daniel Bartl & Samuel Drapeau & Ludovic Tangpi, 2017. "Computational aspects of robust optimized certainty equivalents," Papers 1706.10186, arXiv.org.
    11. Hjalmarsson, Erik & Manchev, Petar, 2012. "Characteristic-based mean-variance portfolio choice," Journal of Banking & Finance, Elsevier, vol. 36(5), pages 1392-1401.
    12. repec:rss:jnljef:v4i1p6 is not listed on IDEAS
    13. repec:eee:intfin:v:48:y:2017:i:c:p:61-81 is not listed on IDEAS
    14. Sokolovskyi, Dmytro & Sokolovska, Olena, 2013. "The problem of arising the Pareto inefficient norm in relations “investor – government” type," MPRA Paper 44745, University Library of Munich, Germany.
    15. Ameur, H. Ben & Prigent, J.L., 2013. "Optimal portfolio positioning under ambiguity," Economic Modelling, Elsevier, vol. 34(C), pages 89-97.
    16. Yuki Shigeta, 2016. "Optimality of Naive Investment Strategies in Dynamic MeanVariance Optimization Problems with Multiple Priors," Discussion papers e-16-004, Graduate School of Economics , Kyoto University.
    17. Sergio Ortobelli Lozza & Enrico Angelelli & Daniele Toninelli, 2011. "Set-Portfolio Selection with the Use of Market Stochastic Bounds," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 47(0), pages 5-24, November.
    18. Fertis, Apostolos & Baes, Michel & Lüthi, Hans-Jakob, 2012. "Robust risk management," European Journal of Operational Research, Elsevier, vol. 222(3), pages 663-672.
    19. Ch. Pflug, Georg & Timonina-Farkas, Anna & Hochrainer-Stigler, Stefan, 2017. "Incorporating model uncertainty into optimal insurance contract design," Insurance: Mathematics and Economics, Elsevier, vol. 73(C), pages 68-74.
    20. repec:spr:jglopt:v:68:y:2017:i:2:d:10.1007_s10898-016-0477-6 is not listed on IDEAS
    21. repec:kap:annfin:v:13:y:2017:i:1:d:10.1007_s10436-016-0291-7 is not listed on IDEAS
    22. Rüdiger Kiesel & Robin Rühlicke & Gerhard Stahl & Jinsong Zheng, 2016. "The Wasserstein Metric and Robustness in Risk Management," Risks, MDPI, Open Access Journal, vol. 4(3), pages 1-14, August.
    23. Kim, Woo Chang & Kim, Jang Ho & Fabozzi, Frank J., 2014. "Deciphering robust portfolios," Journal of Banking & Finance, Elsevier, vol. 45(C), pages 1-8.

    More about this item

    Keywords

    Model uncertainty; Risk aware planning; Robust optimization;

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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