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Modeling capital gains taxes for trading strategies of infinite variation

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  • Christoph Kuhn
  • Bjorn Ulbricht

Abstract

In this article we show that the payment flow of a linear tax on trading gains from a security with a semimartingale price process can be constructed for all c\`agl\`ad and adapted trading strategies. It is characterized as the unique continuous extension of the tax payments for elementary strategies w.r.t. the convergence "uniformly in probability". In this framework we prove that under quite mild assumptions dividend payoffs have almost surely a negative effect on investor's after-tax wealth if the riskless interest rate is always positive.

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  • Christoph Kuhn & Bjorn Ulbricht, 2013. "Modeling capital gains taxes for trading strategies of infinite variation," Papers 1309.7368, arXiv.org, revised Jun 2015.
    • Handle: RePEc:arx:papers:1309.7368
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    References listed on IDEAS

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    1. 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.
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    4. Victor DeMiguel & Raman Uppal, 2005. "Portfolio Investment with the Exact Tax Basis via Nonlinear Programming," Management Science, INFORMS, vol. 51(2), pages 277-290, February.
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    6. Imen Ben Tahar & Nizar Touzi & Mete H. Soner, 2007. "The Dynamic Programming Equation for the Problem of Optimal Investment Under Capital Gains Taxes," Post-Print hal-00703103, HAL.
    7. Constantinides, George M, 1983. "Capital Market Equilibrium with Personal Tax," Econometrica, Econometric Society, vol. 51(3), pages 611-636, May.
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    9. B. Douglas Berhheim, 1991. "Tax Policy and the Dividend Puzzle," RAND Journal of Economics, The RAND Corporation, vol. 22(4), pages 455-476, Winter.
    10. Jouini, Elyes & Koehl, Pierre-F. & Touzi, Nizar, 2000. "Optimal investment with taxes: an existence result," Journal of Mathematical Economics, Elsevier, vol. 33(4), pages 373-388, May.
    11. Merton H. Miller & Franco Modigliani, 1961. "Dividend Policy, Growth, and the Valuation of Shares," The Journal of Business, University of Chicago Press, vol. 34, pages 411-411.
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    Cited by:

    1. Christoph Kuhn, 2018. "How local in time is the no-arbitrage property under capital gains taxes ?," Papers 1802.06386, arXiv.org, revised Sep 2018.
    2. Christoph Kuhn & Budhi Arta Surya & Bjorn Ulbricht, 2014. "Optimal Selling Time of a Stock under Capital Gains Taxes," Papers 1501.00026, arXiv.org.

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