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Illiquidity, position limits, and optimal investment for mutual funds

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  • Dai, Min
  • Jin, Hanqing
  • Liu, Hong

Abstract

We study the optimal trading strategy of mutual funds that face both position limits and differential illiquidity. We provide explicit characterization of the optimal trading strategy and conduct an extensive analytical and numerical analysis of the optimal trading strategy. We show that the optimal trading boundaries are increasing in both the lower and the upper position limits. We find that position limits can affect current trading strategy even when they are not currently binding and other seemingly intuitive trading strategies can be costly. We also examine the optimal choice of position limits.

Suggested Citation

  • Dai, Min & Jin, Hanqing & Liu, Hong, 2011. "Illiquidity, position limits, and optimal investment for mutual funds," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1598-1630, July.
    • Handle: RePEc:eee:jetheo:v:146:y:2011:i:4:p:1598-1630
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    Cited by:

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    2. Ron Kaniel & Stathis Tompaidis & Ti Zhou, 2019. "Impact of Managerial Commitment on Risk Taking with Dynamic Fund Flows," Management Science, INFORMS, vol. 65(7), pages 3174-3195, July.
    3. Chao Deng & Xizhi Su & Chao Zhou, 2020. "Relative wealth concerns with partial information and heterogeneous priors," Papers 2007.11781, arXiv.org.
    4. Jang, Bong-Gyu & Park, Seyoung, 2016. "Ambiguity and optimal portfolio choice with Value-at-Risk constraint," Finance Research Letters, Elsevier, vol. 18(C), pages 158-176.
    5. 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.
    6. Shuaijie Qian & Chen Yang, 2023. "Non-Concave Utility Maximization with Transaction Costs," Papers 2307.02178, arXiv.org.
    7. Delgado, Francisco & Dumas, Bernard & Puopolo, Giovanni W., 2015. "Hysteresis bands on returns, holding period and transaction costs," Journal of Banking & Finance, Elsevier, vol. 57(C), pages 86-100.
    8. Min Dai & Hanqing Jin & Steven Kou & Yuhong Xu, 2021. "A Dynamic Mean-Variance Analysis for Log Returns," Management Science, INFORMS, vol. 67(2), pages 1093-1108, February.
    9. Jin Hyuk Choi, 2016. "Optimal consumption and investment with liquid and illiquid assets," Papers 1602.06998, arXiv.org, revised Jan 2019.
    10. Yingshan Chen & Min Dai & Luis Goncalves-Pinto & Jing Xu & Cheng Yan, 2021. "Incomplete Information and the Liquidity Premium Puzzle," Management Science, INFORMS, vol. 67(9), pages 5703-5729, September.
    11. Jin Hyuk Choi & Tae Ung Gang, 2021. "Optimal investment in illiquid market with search frictions and transaction costs," Papers 2101.09936, arXiv.org, revised Aug 2021.
    12. Johannes Muhle-Karbe & Ren Liu, 2012. "Portfolio Selection with Small Transaction Costs and Binding Portfolio Constraints," Papers 1205.4588, arXiv.org, revised Jan 2013.

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