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Speculative trading, prospect theory and transaction costs

Author

Listed:
  • Alex S. L. Tse

    (University College London)

  • Harry Zheng

    (Imperial College London)

Abstract

A speculative agent with prospect theory preference chooses the optimal time to purchase and then to sell an indivisible risky asset to maximise the expected utility of the round-trip profit net of transaction costs. The optimisation problem is formulated as a sequential optimal stopping problem, and we provide a complete characterisation of the solution. Depending on the preference and market parameters, the optimal strategy can be “buy and hold”, “buy low, sell high”, “buy high, sell higher” or “no trading”. Behavioural preference and market friction interact in a subtle way which yields surprising implications on the agent’s trading patterns. For example, increasing the market entry fee does not necessarily curb speculative trading, but instead may induce a higher reference point under which the agent becomes more risk-seeking and in turn is more likely to trade.

Suggested Citation

  • Alex S. L. Tse & Harry Zheng, 2023. "Speculative trading, prospect theory and transaction costs," Finance and Stochastics, Springer, vol. 27(1), pages 49-96, January.
    • Handle: RePEc:spr:finsto:v:27:y:2023:i:1:d:10.1007_s00780-022-00494-7
    DOI: 10.1007/s00780-022-00494-7
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    References listed on IDEAS

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    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. Daniel Kahneman & Dan Lovallo, 1993. "Timid Choices and Bold Forecasts: A Cognitive Perspective on Risk Taking," Management Science, INFORMS, vol. 39(1), pages 17-31, January.
    3. Xuedong He & Linan Yang, 2019. "Realization utility with adaptive reference points," Mathematical Finance, Wiley Blackwell, vol. 29(2), pages 409-447, April.
    4. Zuo Quan Xu & Xun Yu Zhou, 2011. "Optimal stopping under probability distortion," Papers 1103.1755, arXiv.org, revised Feb 2013.
    5. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    6. David Hobson & Alex S. L. Tse & Yeqi Zhu, 2019. "Optimal consumption and investment under transaction costs," Mathematical Finance, Wiley Blackwell, vol. 29(2), pages 483-506, April.
    7. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    8. Bai, Hang & Zhang, Lu, 2022. "Searching for the equity premium," Journal of Financial Economics, Elsevier, vol. 143(2), pages 897-926.
    9. Kyle, Albert S. & Ou-Yang, Hui & Xiong, Wei, 2006. "Prospect theory and liquidation decisions," Journal of Economic Theory, Elsevier, vol. 129(1), pages 273-288, July.
    10. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    11. Tim Leung & Xin Li & Zheng Wang, 2015. "Optimal Multiple Trading Times Under the Exponential OU Model with Transaction Costs," Papers 1504.04682, arXiv.org.
    12. Tim Leung & Xin Li, 2015. "Optimal Mean Reversion Trading With Transaction Costs And Stop-Loss Exit," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 1-31.
    13. Vicky Henderson & Jonathan Muscat, 2020. "Partial liquidation under reference-dependent preferences," Finance and Stochastics, Springer, vol. 24(2), pages 335-357, April.
    14. 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.
    15. Armin Falk & Markus Knell, 2004. "Choosing the Joneses: Endogenous Goals and Reference Standards," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(3), pages 417-435, October.
    16. Vicky Henderson, 2012. "Prospect Theory, Liquidation, and the Disposition Effect," Management Science, INFORMS, vol. 58(2), pages 445-460, February.
    17. David Hobson & Alex S. L. Tse & Yeqi Zhu, 2019. "A multi-asset investment and consumption problem with transaction costs," Finance and Stochastics, Springer, vol. 23(3), pages 641-676, July.
    18. Dayanik, Savas & Karatzas, Ioannis, 2003. "On the optimal stopping problem for one-dimensional diffusions," Stochastic Processes and their Applications, Elsevier, vol. 107(2), pages 173-212, October.
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    Cited by:

    1. Ashley Davey & Harry Zheng, 2024. "Deep Learning Methods for S Shaped Utility Maximisation with a Random Reference Point," Papers 2410.05524, arXiv.org.
    2. Ariel Neufeld & Julian Sester, 2024. "Non-concave distributionally robust stochastic control in a discrete time finite horizon setting," Papers 2404.05230, arXiv.org.

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    More about this item

    Keywords

    Sequential optimal stopping; S-shaped utility; Transaction costs; Entry-and-exit strategies;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G19 - Financial Economics - - General Financial Markets - - - Other
    • G40 - Financial Economics - - Behavioral Finance - - - General

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