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Optimal investment and consumption with forward preferences and uncertain parameters

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  • Wing Fung Chong
  • Gechun Liang

Abstract

This paper studies robust forward investment and consumption preferences within a zero-volatility context. Different from previous works, we consider an incomplete financial market model due to general investment portfolio constraints. We provide a new PDE characterization and a novel semi-explicit saddle-point construction of forward preferences and optimal strategies. We further present a more detailed construction of forward preferences and optimal strategies under constant relative risk aversion (CRRA). Key findings emphasize the necessity of a specific relationship between the initial investment preference and the forward consumption preference, indicating a long-term decreasing trend in forward consumption preference behavior.

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  • Wing Fung Chong & Gechun Liang, 2018. "Optimal investment and consumption with forward preferences and uncertain parameters," Papers 1807.01186, arXiv.org, revised Nov 2023.
    • Handle: RePEc:arx:papers:1807.01186
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    References listed on IDEAS

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    Cited by:

    1. Chong, Wing Fung, 2019. "Pricing and hedging equity-linked life insurance contracts beyond the classical paradigm: The principle of equivalent forward preferences," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 93-107.
    2. Qian Lin & Xianming Sun & Chao Zhou, 2019. "Horizon-unbiased Investment with Ambiguity," Papers 1904.09379, arXiv.org.
    3. Goncalo dos Reis & Vadim Platonov, 2020. "Forward utility and market adjustments in relative investment-consumption games of many players," Papers 2012.01235, arXiv.org, revised Mar 2022.
    4. Xue Dong He & Moris S. Strub & Thaleia Zariphopoulou, 2021. "Forward rank‐dependent performance criteria: Time‐consistent investment under probability distortion," Mathematical Finance, Wiley Blackwell, vol. 31(2), pages 683-721, April.
    5. Xue Dong He & Moris S. Strub & Thaleia Zariphopoulou, 2019. "Forward Rank-Dependent Performance Criteria: Time-Consistent Investment Under Probability Distortion," Papers 1904.01745, arXiv.org.
    6. Juan Li & Wenqiang Li & Gechun Liang, 2020. "A game theoretical approach to homothetic robust forward investment performance processes in stochastic factor models," Papers 2005.10660, arXiv.org, revised May 2021.

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