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On the Necessary Condition for Linear Sharing and Separation: A Note

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  • Huang, Chi-fu
  • Litzenberger, Robert

Abstract

A necessary and sufficient condition for linear sharing rules to be Pareto optimal, as generally accepted by the finance community, is that utility functions be of the equicautious HARA class. We demonstrate that this condition is not necessary for a fixed distribution of initial endowments and derive the necessary and sufficient condition. We show examples of utility functions satisfying our conditions.

Suggested Citation

  • Huang, Chi-fu & Litzenberger, Robert, 1985. "On the Necessary Condition for Linear Sharing and Separation: A Note," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 20(3), pages 381-384, September.
    • Handle: RePEc:cup:jfinqa:v:20:y:1985:i:03:p:381-384_01
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    Cited by:

    1. Berrada, Tony & Hugonnier, Julien & Rindisbacher, Marcel, 2007. "Heterogeneous preferences and equilibrium trading volume," Journal of Financial Economics, Elsevier, vol. 83(3), pages 719-750, March.
    2. Chen, An & Nguyen, Thai & Rach, Manuel, 2021. "Optimal collective investment: The impact of sharing rules, management fees and guarantees," Journal of Banking & Finance, Elsevier, vol. 123(C).
    3. Nicole Branger & An Chen & Antje Mahayni & Thai Nguyen, 2023. "Optimal collective investment: an analysis of individual welfare," Mathematics and Financial Economics, Springer, volume 17, number 5, December.
    4. An Chen & Thai Nguyen & Manuel Rach, 2021. "A collective investment problem in a stochastic volatility environment: The impact of sharing rules," Annals of Operations Research, Springer, vol. 302(1), pages 85-109, July.
    5. Broeders, Dirk & Mehlkopf, Roel & van Ool, Annick, 2021. "The economics of sharing macro-longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 440-458.
    6. Chen, An & Rach, Manuel, 2023. "Actuarial fairness and social welfare in mixed-cohort tontines," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 214-229.

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