IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v64y2018i5p2308-2324.html
   My bibliography  Save this article

Portfolio Selection with Capital Gains Tax, Recursive Utility, and Regime Switching

Author

Listed:
  • Jiatu Cai

    (Laboratoire de Probabilités et Modèles Aléatoires, Université Paris-Diderot (Paris 7), 75013 Paris, France)

  • Xinfu Chen

    (Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260)

  • Min Dai

    (Department of Mathematics, Risk Management Institute, and Suzhou Research Institute, National University of Singapore, Singapore 119077)

Abstract

Capital gains taxation has important implications for investors’ portfolio choice decisions. To explore these implications, we develop a continuous time investment and consumption model with capital gains tax, Epstein–Zin recursive utility, and regime switching. We find that various factors, such as tax rate, risk aversion, interest rate, stock return, and volatility, jointly affect optimal portfolio allocation, whereas intertemporal substitution does not. In a regime switching market, investors may trade or stop trading purely because of a change in regime, and there is a distinct cross-regime effect on optimal portfolio allocation. In particular, investors tend to raise stock investment in a bear regime so as to reduce potential tax payments upon regime switching. Given reasonable parameter values, regime switching has a greater impact on optimal portfolio allocation in a bear regime than in a bull regime.

Suggested Citation

  • Jiatu Cai & Xinfu Chen & Min Dai, 2018. "Portfolio Selection with Capital Gains Tax, Recursive Utility, and Regime Switching," Management Science, INFORMS, vol. 64(5), pages 2308-2324, May.
  • Handle: RePEc:inm:ormnsc:v:64:y:2018:i:5:p:2308-2324
    DOI: mnsc.2016.2650
    as

    Download full text from publisher

    File URL: https://doi.org/mnsc.2016.2650
    Download Restriction: no

    File URL: https://libkey.io/mnsc.2016.2650?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Imen Ben Tahar & Nizar Touzi & Mete H. Soner, 2010. "Merton Problem with Taxes: Characterization, computation and Approximation," Post-Print hal-00703102, HAL.
    2. Hackbarth, Dirk & Miao, Jianjun & Morellec, Erwan, 2006. "Capital structure, credit risk, and macroeconomic conditions," Journal of Financial Economics, Elsevier, vol. 82(3), pages 519-550, December.
    3. Leland, Hayne E., 1999. "Optimal Portfolio Management with Transactions Costs and Capital Gains Taxes," Research Program in Finance, Working Paper Series qt0fw6k0hm, Research Program in Finance, Institute for Business and Economic Research, UC Berkeley.
    4. Garlappi, Lorenzo & Huang, Jennifer, 2006. "Are stocks desirable in tax-deferred accounts?," Journal of Public Economics, Elsevier, vol. 90(12), pages 2257-2283, December.
    5. Harjoat S. Bhamra & Lars-Alexander Kuehn & Ilya A. Strebulaev, 2010. "Long Run Risks, Credit Markets, and Financial Structure," American Economic Review, American Economic Association, vol. 100(2), pages 547-551, May.
    6. Dylan Possamai & H. Mete Soner & Nizar Touzi, 2012. "Homogenization and asymptotics for small transaction costs: the multidimensional case," Papers 1212.6275, arXiv.org, revised Jan 2013.
    7. Astrup Jensen, Bjarne & Marekwica, Marcel, 2011. "Optimal portfolio choice with wash sale constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 35(11), pages 1916-1937.
    8. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    9. Min Dai & Hong Liu & Chen Yang & Yifei Zhong, 2015. "Optimal Tax Timing with Asymmetric Long-Term/Short-Term Capital Gains Tax," Review of Financial Studies, Society for Financial Studies, vol. 28(9), pages 2687-2721.
    10. Duffie, Darrel & Lions, Pierre-Louis, 1992. "PDE solutions of stochastic differential utility," Journal of Mathematical Economics, Elsevier, vol. 21(6), pages 577-606.
    11. George M. Constantinides, 2005. "Capital Market Equilibrium with Transaction Costs," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 7, pages 207-227, World Scientific Publishing Co. Pte. Ltd..
    12. 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.
    13. Dammon, Robert M & Spatt, Chester S & Zhang, Harold H, 2001. "Optimal Consumption and Investment with Capital Gains Taxes," The Review of Financial Studies, Society for Financial Studies, vol. 14(3), pages 583-616.
    14. Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-394, March.
    15. M. H. A. Davis & A. R. Norman, 1990. "Portfolio Selection with Transaction Costs," Mathematics of Operations Research, INFORMS, vol. 15(4), pages 676-713, November.
    16. repec:dau:papers:123456789/9561 is not listed on IDEAS
    17. Evsey D. Domar & Richard A. Musgrave, 1944. "Proportional Income Taxation and Risk-Taking," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 58(3), pages 388-422.
    18. 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.
    19. Constantinides, George M., 1984. "Optimal stock trading with personal taxes : Implications for prices and the abnormal January returns," Journal of Financial Economics, Elsevier, vol. 13(1), pages 65-89, March.
    20. Li, Geng, 2009. "Transaction costs and consumption," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1263-1277, June.
    21. 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.
    22. Marekwica, Marcel, 2012. "Optimal tax-timing and asset allocation when tax rebates on capital losses are limited," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 2048-2063.
    23. Robert M. Dammon & Chester S. Spatt & Harold H. Zhang, 2004. "Optimal Asset Location and Allocation with Taxable and Tax-Deferred Investing," Journal of Finance, American Finance Association, vol. 59(3), pages 999-1037, June.
    24. J. Kallsen & J. Muhle-Karbe, 2010. "On using shadow prices in portfolio optimization with transaction costs," Papers 1010.4989, arXiv.org.
    25. Bong‐Gyu Jang & Hyeng Keun Koo & Hong Liu & Mark Loewenstein, 2007. "Liquidity Premia and Transaction Costs," Journal of Finance, American Finance Association, vol. 62(5), pages 2329-2366, October.
    26. Constantinides, George M, 1983. "Capital Market Equilibrium with Personal Tax," Econometrica, Econometric Society, vol. 51(3), pages 611-636, May.
    27. Magill, Michael J. P. & Constantinides, George M., 1976. "Portfolio selection with transactions costs," Journal of Economic Theory, Elsevier, vol. 13(2), pages 245-263, October.
    28. Robert E. Hall, 2009. "Reconciling Cyclical Movements in the Marginal Value of Time and the Marginal Product of Labor," Journal of Political Economy, University of Chicago Press, vol. 117(2), pages 281-323, April.
    29. Duffie, Darrell & Epstein, Larry G, 1992. "Asset Pricing with Stochastic Differential Utility," Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 411-436.
    30. Hong Liu & Mark Loewenstein, 2002. "Optimal Portfolio Selection with Transaction Costs and Finite Horizons," Review of Financial Studies, Society for Financial Studies, vol. 15(3), pages 805-835.
    31. H. Mete Soner & Nizar Touzi, 2012. "Homogenization and asymptotics for small transaction costs," Papers 1202.6131, arXiv.org, revised Jun 2013.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yaoting Lei & Ya Li & Jing Xu, 2020. "Two Birds, One Stone: Joint Timing of Returns and Capital Gains Taxes," Management Science, INFORMS, vol. 66(2), pages 823-843, February.
    2. 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.
    3. Baojun Bian & Xinfu Chen & Min Dai & Shuaijie Qian, 2021. "Penalty method for portfolio selection with capital gains tax," Mathematical Finance, Wiley Blackwell, vol. 31(3), pages 1013-1055, July.
    4. Ruan, Xinfeng & Zhang, Jin E., 2018. "Equilibrium variance risk premium in a cost-free production economy," Journal of Economic Dynamics and Control, Elsevier, vol. 96(C), pages 42-60.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Baojun Bian & Xinfu Chen & Min Dai & Shuaijie Qian, 2021. "Penalty method for portfolio selection with capital gains tax," Mathematical Finance, Wiley Blackwell, vol. 31(3), pages 1013-1055, July.
    2. Yaoting Lei & Ya Li & Jing Xu, 2020. "Two Birds, One Stone: Joint Timing of Returns and Capital Gains Taxes," Management Science, INFORMS, vol. 66(2), pages 823-843, February.
    3. Xinfu Chen & Min Dai & Wei Jiang & Cong Qin, 2022. "Asymptotic analysis of long‐term investment with two illiquid and correlated assets," Mathematical Finance, Wiley Blackwell, vol. 32(4), pages 1133-1169, October.
    4. Johannes Muhle-Karbe & Max Reppen & H. Mete Soner, 2016. "A Primer on Portfolio Choice with Small Transaction Costs," Papers 1612.01302, arXiv.org, revised May 2017.
    5. Fischer, Marcel & Kraft, Holger & Munk, Claus, 2013. "Asset allocation over the life cycle: How much do taxes matter?," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2217-2240.
    6. Paul Ehling & Michael Gallmeyer & Sanjay Srivastava & Stathis Tompaidis & Chunyu Yang, 2018. "Portfolio Tax Trading with Carryover Losses," Management Science, INFORMS, vol. 64(9), pages 4156-4176, September.
    7. Fischer, Marcel & Gallmeyer, Michael F., 2016. "Heuristic portfolio trading rules with capital gain taxes," Journal of Financial Economics, Elsevier, vol. 119(3), pages 611-625.
    8. Marekwica, Marcel, 2012. "Optimal tax-timing and asset allocation when tax rebates on capital losses are limited," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 2048-2063.
    9. Dai, Min & Wang, Hefei & Yang, Zhou, 2012. "Leverage management in a bull–bear switching market," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1585-1599.
    10. Jan Kallsen & Johannes Muhle-Karbe, 2013. "The General Structure of Optimal Investment and Consumption with Small Transaction Costs," Papers 1303.3148, arXiv.org, revised May 2015.
    11. 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.
    12. Martin Herdegen & Johannes Muhle-Karbe, 2018. "Stability of Radner equilibria with respect to small frictions," Finance and Stochastics, Springer, vol. 22(2), pages 443-502, April.
    13. Arash Fahim & Wan-Yu Tsai, 2017. "A Numerical Scheme for A Singular control problem: Investment-Consumption Under Proportional Transaction Costs," Papers 1711.01017, arXiv.org.
    14. Martin Haugh & Garud Iyengar & Chun Wang, 2016. "Tax-Aware Dynamic Asset Allocation," Operations Research, INFORMS, vol. 64(4), pages 849-866, August.
    15. Nabeel Butt, 2019. "On Discrete Probability Approximations for Transaction Cost Problems," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 26(3), pages 365-389, September.
    16. 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.
    17. Astrup Jensen, Bjarne & Marekwica, Marcel, 2011. "Optimal portfolio choice with wash sale constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 35(11), pages 1916-1937.
    18. Yaroslav Melnyk & Johannes Muhle‐Karbe & Frank Thomas Seifried, 2020. "Lifetime investment and consumption with recursive preferences and small transaction costs," Mathematical Finance, Wiley Blackwell, vol. 30(3), pages 1135-1167, July.
    19. Arnold, Marc & Wagner, Alexander F. & Westermann, Ramona, 2013. "Growth options, macroeconomic conditions, and the cross section of credit risk," Journal of Financial Economics, Elsevier, vol. 107(2), pages 350-385.
    20. Bruno Bouchard & Ludovic Moreau & Mete H. Soner, 2016. "Hedging under an expected loss constraint with small transaction costs," Post-Print hal-00863562, HAL.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:64:y:2018:i:5:p:2308-2324. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.