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Managing Portfolios Across the Return Distribution

Author

Listed:
  • Jozef Barunik
  • Lukas Janasek
  • Attila Sarkany

Abstract

We develop a dynamic portfolio-choice framework in which investors target the region of the payoff distribution that the portfolio is designed to improve. Out of sample, the estimated policies form an ordered frontier: the policy focused on the downside delivers the strongest left-tail protection and the highest Sharpe ratio, while the policy focused on the upper quantile earns the highest mean return. The gains over volatility-managed portfolios are concentrated in periods when downside-tail dispersion is high. Evidence from fund flows in income, growth and downside protection products supports the interpretation of the quantile index as a reduced-form mandate measure.

Suggested Citation

  • Jozef Barunik & Lukas Janasek & Attila Sarkany, 2025. "Managing Portfolios Across the Return Distribution," Papers 2510.19271, arXiv.org, revised Jun 2026.
  • Handle: RePEc:arx:papers:2510.19271
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    References listed on IDEAS

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    1. Manski, Charles F., 1986. "Ordinal Utility Models Of Decision Making Under Uncertainty," SSRI Workshop Series 292682, University of Wisconsin-Madison, Social Systems Research Institute.
    2. VICTOR DeMIGUEL & ALBERTO MARTÍN‐UTRERA & RAMAN UPPAL, 2024. "A Multifactor Perspective on Volatility‐Managed Portfolios," Journal of Finance, American Finance Association, vol. 79(6), pages 3859-3891, December.
    3. Victor Duarte & Diogo Duarte & Dejanir H Silva, 2024. "Machine Learning for Continuous-Time Finance," The Review of Financial Studies, Society for Financial Studies, vol. 37(11), pages 3217-3271.
    4. Andreas Johansson & Riccardo Sabbatucci & Andrea Tamoni, 2025. "Tradable Risk Factors for Institutional and Retail Investors," Review of Finance, European Finance Association, vol. 29(1), pages 103-139.
    5. Andrew Ang & Geert Bekaert, 2002. "International Asset Allocation With Regime Shifts," The Review of Financial Studies, Society for Financial Studies, vol. 15(4), pages 1137-1187.
    6. Karamfil Todorov, 2024. "When passive funds affect prices: evidence from volatility and commodity ETFs," Review of Finance, European Finance Association, vol. 28(3), pages 831-863.
    7. Huang, Shiyang & Song, Yang & Xiang, Hong, 2024. "The Smart Beta Mirage," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 59(6), pages 2515-2546, September.
    8. Victor Duarte & Diogo Duarte & Dejanir H. Silva, 2024. "Machine Learning for Continuous-Time Finance," CESifo Working Paper Series 10909, CESifo.
    9. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    10. Marzena Rostek, 2010. "Quantile Maximization in Decision Theory ," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 339-371.
    11. Christopher P. Chambers, 2009. "An Axiomatization Of Quantiles On The Domain Of Distribution Functions," Mathematical Finance, Wiley Blackwell, vol. 19(2), pages 335-342, April.
    12. Alan Moreira & Tyler Muir, 2017. "Volatility-Managed Portfolios," Journal of Finance, American Finance Association, vol. 72(4), pages 1611-1644, August.
    13. Luciano de Castro & Antonio F. Galvao & Gabriel Montes-Rojas & Jose Olmo, 2022. "Portfolio selection in quantile decision models," Annals of Finance, Springer, vol. 18(2), pages 133-181, June.
    14. de Castro, Luciano I. & Galvao, Antonio F. & Nunes, Daniel da Siva, 2025. "Dynamic economics with quantile preferences," Theoretical Economics, Econometric Society, vol. 20(1), January.
    15. Guidolin, Massimo & Timmermann, Allan, 2007. "Asset allocation under multivariate regime switching," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3503-3544, November.
    16. Itzhak Ben-David & Francesco Franzoni & Byungwook Kim & Rabih Moussawi & Ralph Koijen, 2023. "Competition for Attention in the ETF Space," The Review of Financial Studies, Society for Financial Studies, vol. 36(3), pages 987-1042.
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