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Optimal consumption and portfolio choice with ambiguous interest rates and volatility

Author

Listed:
  • Qian Lin

    (Wuhan University)

  • Frank Riedel

    (Bielefeld University
    University of Johannesburg)

Abstract

We study continuous-time consumption and portfolio choice in the presence of Knightian uncertainty about interest rates. We develop the stochastic model that involves singular priors and analyze optimal behavior. When there is sufficiently large uncertainty about interest rates, the agent invests in the asset market only and abstains from the bond market.

Suggested Citation

  • Qian Lin & Frank Riedel, 2021. "Optimal consumption and portfolio choice with ambiguous interest rates and volatility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1189-1202, April.
    • Handle: RePEc:spr:joecth:v:71:y:2021:i:3:d:10.1007_s00199-020-01306-9
    DOI: 10.1007/s00199-020-01306-9
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Daniel Bartl & Michael Kupper & Ariel Neufeld, 2021. "Duality theory for robust utility maximisation," Finance and Stochastics, Springer, vol. 25(3), pages 469-503, July.
    2. David Criens & Lars Niemann, 2022. "Robust utility maximization with nonlinear continuous semimartingales," Papers 2206.14015, arXiv.org, revised Aug 2023.
    3. David Criens & Lars Niemann, 2023. "Robust utility maximization with nonlinear continuous semimartingales," Mathematics and Financial Economics, Springer, volume 17, number 5, June.
    4. Lin, Qian & Luo, Yulei & Sun, Xianming, 2022. "Robust investment strategies with two risky assets," Journal of Economic Dynamics and Control, Elsevier, vol. 134(C).
    5. Shilin Li & Jinqiang Yang & Siqi Zhao, 2022. "Robust leverage dynamics without commitment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 643-679, September.
    6. Julian Holzermann, 2023. "Optimal Investment with Stochastic Interest Rates and Ambiguity," Papers 2306.13343, arXiv.org, revised Oct 2023.
    7. Christoph Czichowsky & Raphael Huwyler, 2022. "Robust utility maximisation under proportional transaction costs for c\`adl\`ag price processes," Papers 2211.00532, arXiv.org, revised May 2023.
    8. Ariel Neufeld & Julian Sester & Mario Šikić, 2023. "Markov decision processes under model uncertainty," Mathematical Finance, Wiley Blackwell, vol. 33(3), pages 618-665, July.
    9. Daniel Bartl & Ariel Neufeld & Kyunghyun Park, 2023. "Sensitivity of robust optimization problems under drift and volatility uncertainty," Papers 2311.11248, arXiv.org.
    10. Arnon Archankul & Giorgio Ferrari & Tobias Hellmann & Jacco J. J. Thijssen, 2023. "Singular Control in a Cash Management Model with Ambiguity," Papers 2309.12014, arXiv.org.

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    More about this item

    Keywords

    Portfolio Choice; Knightian Uncertainty; Model uncertainty; Interest Rate Ambiguity;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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