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Horizon-unbiased investment with ambiguity

Author

Listed:
  • Lin, Qian
  • Sun, Xianming
  • Zhou, Chao

Abstract

In the presence of ambiguity about the driving force of market randomness, we consider a dynamic portfolio choice problem without any predetermined investment horizon. The investment criterion is formulated as a robust forward performance process, reflecting an investor’s dynamic preference adapted to the market evolution. We show that the market risk premium and the utility risk premium jointly determine the investors’ trading direction and the worst-case scenarios of the risky asset’s mean return and volatility. The closed-form solution for the optimal investment strategies is given in the special settings of the constant relative risk aversion (CRRA) preference. The resulting portfolio strategies highlight the effect of ambiguity on nonparticipation in the risky asset market from the forward performance point of view.

Suggested Citation

  • Lin, Qian & Sun, Xianming & Zhou, Chao, 2020. "Horizon-unbiased investment with ambiguity," Journal of Economic Dynamics and Control, Elsevier, vol. 114(C).
    • Handle: RePEc:eee:dyncon:v:114:y:2020:i:c:s0165188920300646
    DOI: 10.1016/j.jedc.2020.103896
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    References listed on IDEAS

    as
    1. Hening Liu, 2011. "Dynamic portfolio choice under ambiguity and regime switching mean returns," Post-Print hal-00781344, HAL.
    2. Bandi, Federico M. & Renò, Roberto, 2012. "Time-varying leverage effects," Journal of Econometrics, Elsevier, vol. 169(1), pages 94-113.
    3. Hui Chen & Nengjiu Ju & Jianjun Miao, 2014. "Dynamic Asset Allocation with Ambiguous Return Predictability," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(4), pages 799-823, October.
    4. H. Henry Cao & Tan Wang & Harold H. Zhang, 2005. "Model Uncertainty, Limited Market Participation, and Asset Prices," The Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1219-1251.
    5. Yu, Jun, 2012. "A semiparametric stochastic volatility model," Journal of Econometrics, Elsevier, vol. 167(2), pages 473-482.
    6. Larry G. Epstein & Shaolin Ji, 2013. "Ambiguous Volatility and Asset Pricing in Continuous Time," The Review of Financial Studies, Society for Financial Studies, vol. 26(7), pages 1740-1786.
    7. Larry G. Epstein & Martin Schneider, 2010. "Ambiguity and Asset Markets," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 315-346, December.
    8. Mukerji, Sujoy & Tallon, Jean-Marc, 2003. "Ellsberg's two-color experiment, portfolio inertia and ambiguity," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 299-316, June.
    9. Guidolin, Massimo & Liu, Hening, 2016. "Ambiguity Aversion and Underdiversification," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 51(4), pages 1297-1323, August.
    10. Qian Lin & Frank Riedel, 2014. "Optimal consumption and portfolio choice with ambiguity," Papers 1401.1639, arXiv.org.
    11. Epstein, Larry G & Zhang, Jiankang, 2001. "Subjective Probabilities on Subjectively Unambiguous Events," Econometrica, Econometric Society, vol. 69(2), pages 265-306, March.
    12. Wachter, Jessica A., 2002. "Portfolio and Consumption Decisions under Mean-Reverting Returns: An Exact Solution for Complete Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(1), pages 63-91, March.
    13. Pascal J. Maenhout, 2004. "Robust Portfolio Rules and Asset Pricing," The Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 951-983.
    14. Lars Peter Hansen & Thomas J Sargent, 2014. "A Quartet of Semigroups for Model Specification, Robustness, Prices of Risk, and Model Detection," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 4, pages 83-143, World Scientific Publishing Co. Pte. Ltd..
    15. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    16. Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 141-161.
    17. Luo, Yulei & Nie, Jun & Young, Eric R., 2014. "Model uncertainty and intertemporal tax smoothing," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 289-314.
    18. Brenner, Menachem & Izhakian, Yehuda, 2018. "Asset pricing and ambiguity: Empirical evidence⁎," Journal of Financial Economics, Elsevier, vol. 130(3), pages 503-531.
    19. Lorenzo Garlappi & Raman Uppal & Tan Wang, 2007. "Portfolio Selection with Parameter and Model Uncertainty: A Multi-Prior Approach," The Review of Financial Studies, Society for Financial Studies, vol. 20(1), pages 41-81, January.
    20. Wang, Neng, 2009. "Optimal consumption and asset allocation with unknown income growth," Journal of Monetary Economics, Elsevier, vol. 56(4), pages 524-534, May.
    21. Peter Carr & Roger Lee, 2009. "Volatility Derivatives," Annual Review of Financial Economics, Annual Reviews, vol. 1(1), pages 319-339, November.
    22. Epstein, Larry G. & Ji, Shaolin, 2014. "Ambiguous volatility, possibility and utility in continuous time," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 269-282.
    23. Henderson, Vicky & Hobson, David, 2007. "Horizon-unbiased utility functions," Stochastic Processes and their Applications, Elsevier, vol. 117(11), pages 1621-1641, November.
    24. Yulei Luo, 2017. "Robustly Strategic Consumption–Portfolio Rules with Informational Frictions," Management Science, INFORMS, vol. 63(12), pages 4158-4174, December.
    25. Tahir Choulli & Christophe Stricker & Jia Li, 2007. "Minimal Hellinger martingale measures of order q," Finance and Stochastics, Springer, vol. 11(3), pages 399-427, July.
    26. Peter Bossaerts & Paolo Ghirardato & Serena Guarnaschelli & William R. Zame, 2010. "Ambiguity in Asset Markets: Theory and Experiment," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1325-1359, April.
    27. Omori, Yasuhiro & Chib, Siddhartha & Shephard, Neil & Nakajima, Jouchi, 2007. "Stochastic volatility with leverage: Fast and efficient likelihood inference," Journal of Econometrics, Elsevier, vol. 140(2), pages 425-449, October.
    28. Zeng, Yan & Li, Danping & Chen, Zheng & Yang, Zhou, 2018. "Ambiguity aversion and optimal derivative-based pension investment with stochastic income and volatility," Journal of Economic Dynamics and Control, Elsevier, vol. 88(C), pages 70-103.
    29. Dow, James & Werlang, Sergio Ribeiro da Costa, 1992. "Uncertainty Aversion, Risk Aversion, and the Optimal Choice of Portfolio," Econometrica, Econometric Society, vol. 60(1), pages 197-204, January.
    30. Alghalith, Moawia, 2012. "Forward dynamic utility functions: A new model and new results," European Journal of Operational Research, Elsevier, vol. 223(3), pages 842-845.
    31. Liu, Hening, 2011. "Dynamic portfolio choice under ambiguity and regime switching mean returns," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 623-640, April.
    32. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    33. Escobar, Marcos & Ferrando, Sebastian & Rubtsov, Alexey, 2018. "Dynamic derivative strategies with stochastic interest rates and model uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 86(C), pages 49-71.
    34. Sergey Nadtochiy & Michael Tehranchi, 2017. "Optimal Investment For All Time Horizons And Martin Boundary Of Space-Time Diffusions," Mathematical Finance, Wiley Blackwell, vol. 27(2), pages 438-470, April.
    35. Weidong Tian & Junya Jiang & Weidong Tian, 2017. "Model Uncertainty Effect on Asset Prices," International Review of Finance, International Review of Finance Ltd., vol. 17(2), pages 205-233, June.
    36. Zhou Yang & Gechun Liang & Chao Zhou, 2017. "Constrained portfolio-consumption strategies with uncertain parameters and borrowing costs," Papers 1711.02939, arXiv.org, revised Dec 2018.
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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. Lin, Qian & Luo, Yulei & Sun, Xianming, 2022. "Robust investment strategies with two risky assets," Journal of Economic Dynamics and Control, Elsevier, vol. 134(C).
    3. Ariel Neufeld & Julian Sester & Mario Šikić, 2023. "Markov decision processes under model uncertainty," Mathematical Finance, Wiley Blackwell, vol. 33(3), pages 618-665, July.
    4. Daniel Bartl & Michael Kupper & Ariel Neufeld, 2020. "Duality Theory for Robust Utility Maximisation," Papers 2007.08376, arXiv.org, revised Jun 2021.

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    More about this item

    Keywords

    Ambiguity; Forward performance; Robust investment; Risk premium; Nonparticipation;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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