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Robust leverage decision under locked wealth and high-water mark contract

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  • Luo, Deqing
  • Wu, Xiaoping
  • Xu, Jiawen
  • Yan, Jingzhou

Abstract

This paper investigates the effects of ambiguity on the optimal fund leverage and the private risk-taking of a hedge fund manager with a high-water mark contract and locked wealth in the fund. We derive a closed-form solution that predicts an increase in ambiguity about the market risk has a U-shaped effect on the optimal fund leverage but a monotonic decreasing effect on the private risk-taking. An increase in ambiguity about the idiosyncratic risk reduces the optimal fund leverage and raises the private risk-taking. According to the simulation, ambiguity erodes the fund wealth and the private wealth of the manager. Consumption-wealth ratio and welfare of the manager are both reduced as ambiguity increases.

Suggested Citation

  • Luo, Deqing & Wu, Xiaoping & Xu, Jiawen & Yan, Jingzhou, 2022. "Robust leverage decision under locked wealth and high-water mark contract," Finance Research Letters, Elsevier, vol. 46(PB).
  • Handle: RePEc:eee:finlet:v:46:y:2022:i:pb:s1544612321004177
    DOI: 10.1016/j.frl.2021.102428
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    Cited by:

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    3. Hosseini-Nodeh, Zohreh & Khanjani-Shiraz, Rashed & Pardalos, Panos M., 2023. "Portfolio optimization using robust mean absolute deviation model: Wasserstein metric approach," Finance Research Letters, Elsevier, vol. 54(C).
    4. 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.

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    More about this item

    Keywords

    High-water mark; Robust leverage; Locked wealth; Ambiguity;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors

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