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Optimal trading of a security when there are taxes and transaction costs

Author

Listed:
  • Abel Cadenillas

    (Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1)

  • Stanley R. Pliska

    (University of Illinois at Chicago, 601 South Morgan Street, Chicago, IL 60607-7124, USA Manuscript)

Abstract

We study the problem of investing in securities in order to maximize the after-tax rate of return. We consider a single stock modeled as geometric Brownian motion along with the objective of maximizing the long-run growth rate of after-tax wealth. We show that it is optimal not only to cut short the losses, but also the profits, even though there is no distinction between short and long term tax rates. This surprising result may be due to the possibility of using the tax system to reduce after-tax volatility.

Suggested Citation

  • Abel Cadenillas & Stanley R. Pliska, 1999. "Optimal trading of a security when there are taxes and transaction costs," Finance and Stochastics, Springer, vol. 3(2), pages 137-165.
  • Handle: RePEc:spr:finsto:v:3:y:1999:i:2:p:137-165
    Note: received: June 1997; final version received: February 1998
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    Citations

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    Cited by:

    1. Christoph Kuhn & Bjorn Ulbricht, 2013. "Modeling capital gains taxes for trading strategies of infinite variation," Papers 1309.7368, arXiv.org, revised Jun 2015.
    2. Zura Kakushadze, 2015. "Combining Alphas via Bounded Regression," Papers 1501.05381, arXiv.org, revised Oct 2015.
    3. Stathis Tompaidis & Sanjay Srivastava & Michael Gallmeyer & Paul Ehling, 2008. "Portfolio Choice with Capital Gain Taxation and the Limited Use of Losses," 2008 Meeting Papers 769, Society for Economic Dynamics.
    4. Zura Kakushadze, 2015. "Combining Alphas via Bounded Regression," Risks, MDPI, vol. 3(4), pages 1-17, November.
    5. Bjarne Jensen, 2009. "Valuation before and after tax in the discrete time, finite state no arbitrage model," Annals of Finance, Springer, vol. 5(1), pages 91-123, January.
    6. Zura Kakushadze, 2014. "Notes on Alpha Stream Optimization," Papers 1406.1249, arXiv.org, revised Mar 2015.
    7. Zura Kakushadze, 2014. "Mean-Reversion and Optimization," Papers 1408.2217, arXiv.org, revised Feb 2016.
    8. Christoph Kuhn & Budhi Arta Surya & Bjorn Ulbricht, 2014. "Optimal Selling Time of a Stock under Capital Gains Taxes," Papers 1501.00026, arXiv.org.
    9. Zura Kakushadze & Willie Yu, 2017. "Notes on Fano Ratio and Portfolio Optimization," Papers 1711.10640, arXiv.org, revised Apr 2018.
    10. Frank Seifried, 2010. "Optimal investment with deferred capital gains taxes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(1), pages 181-199, February.
    11. Gallmeyer, Michael F. & Kaniel, Ron & Tompaidis, Stathis, 2006. "Tax management strategies with multiple risky assets," Journal of Financial Economics, Elsevier, vol. 80(2), pages 243-291, May.
    12. Zura Kakushadze, 2014. "Combining Alpha Streams with Costs," Papers 1405.4716, arXiv.org, revised Jan 2015.

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