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Profit Sharing In Hedge Funds

Author

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  • Xue Dong He
  • Steven Kou

Abstract

In a new scheme for hedge fund managerial compensation known as the first†loss scheme, a fund manager uses her investment in the fund to cover any fund losses first; by contrast, in the traditional scheme currently used in most US funds, the manager does not cover investors' losses in the fund. We propose a framework based on cumulative prospect theory to compute and compare the trading strategies, fund risk, and managers' and investors' utilities in these two schemes analytically. The model is calibrated to the historical attrition rates of US hedge funds. We find that with reasonable parameter values, both fund managers' and investors' utilities can be improved and fund risk can be reduced simultaneously by replacing the traditional scheme (with 10% internal capital and 20% performance fee) with a first†loss scheme (with 10% first†loss capital and 30% performance fee). When the performance fee in the first†loss scheme is 40% (a current market practice), however, such substitution renders investors worse off.

Suggested Citation

  • Xue Dong He & Steven Kou, 2018. "Profit Sharing In Hedge Funds," Mathematical Finance, Wiley Blackwell, vol. 28(1), pages 50-81, January.
  • Handle: RePEc:bla:mathfi:v:28:y:2018:i:1:p:50-81
    DOI: 10.1111/mafi.12143
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    Cited by:

    1. Zongxia Liang & Yang Liu & Ming Ma & Rahul Pothi Vinoth, 2021. "A Unified Formula of the Optimal Portfolio for Piecewise Hyperbolic Absolute Risk Aversion Utilities," Papers 2107.06460, arXiv.org, revised Oct 2023.
    2. Dong, Yinghui & Zheng, Harry, 2019. "Optimal investment of DC pension plan under short-selling constraints and portfolio insurance," Insurance: Mathematics and Economics, Elsevier, vol. 85(C), pages 47-59.
    3. Guan, Guohui & Liang, Zongxia & Xia, Yi, 2023. "Optimal management of DC pension fund under the relative performance ratio and VaR constraint," European Journal of Operational Research, Elsevier, vol. 305(2), pages 868-886.
    4. Escobar-Anel, M. & Havrylenko, Y. & Zagst, R., 2020. "Optimal fees in hedge funds with first-loss compensation," Journal of Banking & Finance, Elsevier, vol. 118(C).
    5. Dong, Yinghui & Zheng, Harry, 2020. "Optimal investment with S-shaped utility and trading and Value at Risk constraints: An application to defined contribution pension plan," European Journal of Operational Research, Elsevier, vol. 281(2), pages 341-356.
    6. Guohui Guan & Lin He & Zongxia Liang & Litian Zhang, 2024. "Optimal VPPI strategy under Omega ratio with stochastic benchmark," Papers 2403.13388, arXiv.org.
    7. Constantin Mellios & Anh Ngoc Lai, 2022. "Incentive Fees with a Moving Benchmark and Portfolio Selection under Loss Aversion," Post-Print hal-03708926, HAL.
    8. Yang Liu & Zhenyu Shen, 2024. "Modelling Non-monotone Risk Aversion and Convex Compensation in Incomplete Markets," Papers 2406.00435, arXiv.org.
    9. Thai Nguyen & Mitja Stadje, 2018. "Optimal investment for participating insurance contracts under VaR-Regulation," Papers 1805.09068, arXiv.org, revised Jul 2019.
    10. Fortin, Ines & Hlouskova, Jaroslava, 2024. "Prospect theory and asset allocation," The Quarterly Review of Economics and Finance, Elsevier, vol. 94(C), pages 214-240.
    11. Min Dai & Steven Kou & Shuaijie Qian & Xiangwei Wan, 2022. "Nonconcave Utility Maximization with Portfolio Bounds," Management Science, INFORMS, vol. 68(11), pages 8368-8385, November.
    12. Emilio Barucci & Daniele Marazzina & Elisa Mastrogiacomo, 2021. "Optimal investment strategies with a minimum performance constraint," Annals of Operations Research, Springer, vol. 299(1), pages 215-239, April.
    13. Guohui Guan & Zongxia Liang & Yi xia, 2021. "Optimal management of DC pension fund under relative performance ratio and VaR constraint," Papers 2103.04352, arXiv.org.
    14. Anne MacKay & Adriana Ocejo, 2022. "Portfolio Optimization With a Guaranteed Minimum Maturity Benefit and Risk-Adjusted Fees," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 1021-1049, June.
    15. Shuaijie Qian & Chen Yang, 2023. "Non-Concave Utility Maximization with Transaction Costs," Papers 2307.02178, arXiv.org.
    16. Congming Mu & Jingzhou Yan & Jinqiang Yang, 2023. "Robust risk choice under high-water mark contract," Review of Quantitative Finance and Accounting, Springer, vol. 61(1), pages 295-322, July.
    17. Bi, Xiuchun & Cui, Zhenyu & Fan, Jiacheng & Yuan, Lvning & Zhang, Shuguang, 2023. "Optimal investment problem under behavioral setting: A Lagrange duality perspective," Journal of Economic Dynamics and Control, Elsevier, vol. 156(C).
    18. Hongcan Lin & David Saunders & Chengguo Weng, 2019. "Portfolio Optimization With Performance Ratios," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(05), pages 1-38, August.
    19. Zongxia Liang & Yang Liu & Litian Zhang, 2021. "A Framework of State-dependent Utility Optimization with General Benchmarks," Papers 2101.06675, arXiv.org, revised Dec 2023.
    20. Sheng, Jiliang & Xu, Si & An, Yunbi & Yang, Jun, 2021. "Dynamic portfolio strategy by loss-averse fund managers facing performance-induced fund flows," International Review of Financial Analysis, Elsevier, vol. 73(C).

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