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Effects of a capital gains tax on asset pricing

Author

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  • Marko Volker Krause

    (Capco-The Capital Markets Company GmbH)

Abstract

I extend and generalize the work of Kruschwitz and Löffler (BuR—Business Research 2(2):171–178, 2009). I find that, with a zero risk-free rate, the implicit price of capital gains tax payments is zero. I provide conditions in stochastic discount factor language when a capital gains tax has no effect on asset prices for the case of a zero risk-free rate. A sufficient condition for price equality with a zero risk-fee rate is that agents consume the same in any state with and without taxes. Equilibria exist that guarantee equal consumptions, and they imply the same portfolio rules that Kruschwitz and Löffler (BuR—Business Research 2(2):171–178, 2009) find for the CAPM. Furthermore, for an exogenous non-zero risk-free rate, I show that exponential utility with multivariate normal payoffs, as well as linear marginal utility leave prices unchanged. Equilibrium prices are independent of capital gains taxes in those cases. However, total wealth of agents is different between the tax and the no-tax economy.

Suggested Citation

  • Marko Volker Krause, 2018. "Effects of a capital gains tax on asset pricing," Business Research, Springer;German Academic Association for Business Research, vol. 11(1), pages 115-148, February.
    • Handle: RePEc:spr:busres:v:11:y:2018:i:1:d:10.1007_s40685-017-0058-7
    DOI: 10.1007/s40685-017-0058-7
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    References listed on IDEAS

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    1. John H. Cochrane, 2014. "A Mean-Variance Benchmark for Intertemporal Portfolio Theory," Journal of Finance, American Finance Association, vol. 69(1), pages 1-49, February.
    2. Clemens Sialm, 2009. "Tax Changes and Asset Pricing," American Economic Review, American Economic Association, vol. 99(4), pages 1356-1383, September.
    3. Eikseth, Hans Marius & Lindset, Snorre, 2009. "A note on capital asset pricing and heterogeneous taxes," Journal of Banking & Finance, Elsevier, vol. 33(3), pages 573-577, March.
    4. Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-430, June.
    5. Sialm, Clemens, 2006. "Stochastic taxation and asset pricing in dynamic general equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 30(3), pages 511-540, March.
    6. Kruschwitz, Lutz & Löffler, Andreas, 2009. "Do taxes matter in the CAPM?," arqus Discussion Papers in Quantitative Tax Research 73, arqus - Arbeitskreis Quantitative Steuerlehre.
    7. Araujo A. & Chateauneuf A. & Gama-Torres J. & Novinski R., 2014. "General equilibrium, risk taking and volatility," Working Papers 2014-181, Department of Research, Ipag Business School.
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    Cited by:

    1. Rainer Niemann & Mariana Sailer, 2023. "Is analytical tax research alive and kicking? Insights from 2000 until 2022," Journal of Business Economics, Springer, vol. 93(6), pages 1149-1212, August.

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    More about this item

    Keywords

    Capital gains tax; Stochastic discount factor; Portfolio theory; Constant absolute risk aversion; Linear marginal utility;
    All these keywords.

    JEL classification:

    • 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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