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Optimal investment with deferred capital gains taxes

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  • Frank Seifried

Abstract

We solve the optimal portfolio problem of an investor in a complete market who is liable to deferred taxes due on capital gains, irrespective of their origin. In a Brownian framework we explicitly determine optimal strategies. Our analysis is based on a modification of the standard martingale method applied to the after-tax utility function, which exhibits a kink at the level of initial wealth, and Clark’s formula. Numerical results show that the Merton strategy is close to optimal under taxation. Copyright Springer-Verlag 2010

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  • 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.
    • Handle: RePEc:spr:mathme:v:71:y:2010:i:1:p:181-199
    DOI: 10.1007/s00186-009-0291-8
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    Cited by:

    1. Chen, An & Hieber, Peter & Sureth, Caren, 2022. "Pay for tax certainty? Advance tax rulings for risky investment under multi-dimensional tax uncertainty," arqus Discussion Papers in Quantitative Tax Research 273, arqus - Arbeitskreis Quantitative Steuerlehre.
    2. Cho, Myeonghwan, 2014. "The effect of capital gains taxation on small business transfers and start-ups," Economic Modelling, Elsevier, vol. 36(C), pages 447-454.
    3. Christoph Kuhn & Budhi Arta Surya & Bjorn Ulbricht, 2014. "Optimal Selling Time of a Stock under Capital Gains Taxes," Papers 1501.00026, arXiv.org.
    4. Maxim Bichuch & Stephan Sturm, 2014. "Portfolio optimization under convex incentive schemes," Finance and Stochastics, Springer, vol. 18(4), pages 873-915, October.
    5. Chen, An & Hieber, Peter & Nguyen, Thai, 2019. "Constrained non-concave utility maximization: An application to life insurance contracts with guarantees," European Journal of Operational Research, Elsevier, vol. 273(3), pages 1119-1135.
    6. Katarzyna Romaniuk, 2013. "Pension fund taxation and risk-taking: should we switch from the EET to the TEE regime?," Annals of Finance, Springer, vol. 9(4), pages 573-588, November.
    7. Maxim Bichuch & Stephan Sturm, 2011. "Portfolio Optimization under Convex Incentive Schemes," Papers 1109.2945, arXiv.org, revised Oct 2013.

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