IDEAS home Printed from https://ideas.repec.org/a/gam/jjrfmx/v14y2021i7p285-d579911.html
   My bibliography  Save this article

Combining Investment and Tax Strategies for Optimizing Lifetime Solvency under Uncertain Returns and Mortality

Author

Listed:
  • Sanjiv R. Das

    (Department of Finance, Santa Clara University, Santa Clara, CA 95053, USA)

  • Daniel Ostrov

    (Department of Mathematics and Computer Science, Santa Clara University, Santa Clara, CA 95053, USA)

  • Aviva Casanova

    (Franklin Templeton, San Mateo, CA 95670, USA)

  • Anand Radhakrishnan

    (Franklin Templeton, San Mateo, CA 95670, USA)

  • Deep Srivastav

    (Franklin Templeton, San Mateo, CA 95670, USA)

Abstract

This paper considers investors who are looking to maximize their probability of remaining solvent throughout their lifetime by using an algorithm that aims to optimize their investment allocation strategy and optimize their tax strategy for withdrawal allocations between tax deferred accounts (TDAs), Roth accounts, and taxable stock and bond accounts. This optimization works with stochastic investment returns and stochastic mortality, extending and combining different investment and tax-efficiency paradigms. We find that optimizing the investment strategy has a much larger impact on the investor remaining solvent than optimizing the tax strategy. This result is key to effectively optimizing both strategies simultaneously. This optimized investment strategy soundly beats a standard target date fund strategy, and the novel optimized tax strategy displays optimal desired properties suggested by non-stochastic tax optimization research.

Suggested Citation

  • Sanjiv R. Das & Daniel Ostrov & Aviva Casanova & Anand Radhakrishnan & Deep Srivastav, 2021. "Combining Investment and Tax Strategies for Optimizing Lifetime Solvency under Uncertain Returns and Mortality," JRFM, MDPI, vol. 14(7), pages 1-25, June.
    • Handle: RePEc:gam:jjrfmx:v:14:y:2021:i:7:p:285-:d:579911
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1911-8074/14/7/285/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1911-8074/14/7/285/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hassett, Kevin A & Metcalf, Gilbert E, 1999. "Investment with Uncertain Tax Policy: Does Random Tax Policy Discourage Investment?," Economic Journal, Royal Economic Society, vol. 109(457), pages 372-393, July.
    2. Lubos Pástor & Pietro Veronesi, 2012. "Uncertainty about Government Policy and Stock Prices," Journal of Finance, American Finance Association, vol. 67(4), pages 1219-1264, August.
    3. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    4. Sid Browne, 1995. "Optimal Investment Policies for a Firm With a Random Risk Process: Exponential Utility and Minimizing the Probability of Ruin," Mathematics of Operations Research, INFORMS, vol. 20(4), pages 937-958, November.
    5. Kevin A. Hassett, 1999. "Tax Policy and Investment," Books, American Enterprise Institute, number 53049, September.
    6. Brown, David C. & Cederburg, Scott & O’Doherty, Michael S., 2017. "Tax uncertainty and retirement savings diversification," Journal of Financial Economics, Elsevier, vol. 126(3), pages 689-712.
    7. Browne, S., 1995. "Optimal Investment Policies for a Firm with a Random Risk Process: Exponential Utility and Minimizing the Probability of Ruin," Papers 95-08, Columbia - Graduate School of Business.
    8. 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.
    9. M. Max Croce & Howard Kung & Thien T. Nguyen & Lukas Schmid, 2012. "Fiscal Policies and Asset Prices," The Review of Financial Studies, Society for Financial Studies, vol. 25(9), pages 2635-2672.
    10. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    11. Sid Browne, 1997. "Survival and Growth with a Liability: Optimal Portfolio Strategies in Continuous Time," Mathematics of Operations Research, INFORMS, vol. 22(2), pages 468-493, May.
    12. Thien Nguyen & Lukas Schmid & Howard Kung & Mariano Croce, 2012. "Fiscal Policies and Asset Prices," 2012 Meeting Papers 565, Society for Economic Dynamics.
    Full references (including those not matched with items on IDEAS)

    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. Pástor, Ľuboš & Veronesi, Pietro, 2013. "Political uncertainty and risk premia," Journal of Financial Economics, Elsevier, vol. 110(3), pages 520-545.
    2. Li, Zhongfei & Yao, Jing & Li, Duan, 2010. "Behavior patterns of investment strategies under Roy's safety-first principle," The Quarterly Review of Economics and Finance, Elsevier, vol. 50(2), pages 167-179, May.
    3. Sanjiv R. Das & Daniel Ostrov & Anand Radhakrishnan & Deep Srivastav, 2020. "Dynamic portfolio allocation in goals-based wealth management," Computational Management Science, Springer, vol. 17(4), pages 613-640, December.
    4. Christensen, Bent Jesper & Parra-Alvarez, Juan Carlos & Serrano, Rafael, 2021. "Optimal control of investment, premium and deductible for a non-life insurance company," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 384-405.
    5. Bilel Jarraya & Abdelfettah Bouri, 2013. "A Theoretical Assessment on Optimal Asset Allocations in Insurance Industry," International Journal of Finance & Banking Studies, Center for the Strategic Studies in Business and Finance, vol. 2(4), pages 30-44, October.
    6. J. Cerda-Hernandez & A. Sikov, 2022. "Optimal investment strategy to maximize the expected utility of an insurance company under Cramer Lundberg dynamic," Papers 2207.02947, arXiv.org.
    7. Sid Browne, 2000. "Risk-Constrained Dynamic Active Portfolio Management," Management Science, INFORMS, vol. 46(9), pages 1188-1199, September.
    8. Anatoliy Swishchuk, 2021. "Merton Investment Problems in Finance and Insurance for the Hawkes-based Models," Papers 2104.02694, arXiv.org, revised May 2021.
    9. Apergis, Nicholas, 2015. "Policy risks, technological risks and stock returns: New evidence from the US stock market," Economic Modelling, Elsevier, vol. 51(C), pages 359-365.
    10. Zhu, Huiming & Deng, Chao & Yue, Shengjie & Deng, Yingchun, 2015. "Optimal reinsurance and investment problem for an insurer with counterparty risk," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 242-254.
    11. Zhao, Qian & Wang, Rongming & Wei, Jiaqin, 2016. "Exponential utility maximization for an insurer with time-inconsistent preferences," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 89-104.
    12. Gerrard, Russell & Haberman, Steven & Vigna, Elena, 2004. "Optimal investment choices post-retirement in a defined contribution pension scheme," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 321-342, October.
    13. He, Yong & Zhou, Xia & Chen, Peimin & Wang, Xiaoyang, 2022. "An analytical solution for the robust investment-reinsurance strategy with general utilities," The North American Journal of Economics and Finance, Elsevier, vol. 63(C).
    14. Zhuo Jin & Zuo Quan Xu & Bin Zou, 2020. "A Perturbation Approach to Optimal Investment, Liability Ratio, and Dividend Strategies," Papers 2012.06703, arXiv.org, revised May 2021.
    15. Mohamed Badaoui & Begoña Fernández & Anatoliy Swishchuk, 2018. "An Optimal Investment Strategy for Insurers in Incomplete Markets," Risks, MDPI, vol. 6(2), pages 1-23, April.
    16. Zhao, Hui & Rong, Ximin, 2012. "Portfolio selection problem with multiple risky assets under the constant elasticity of variance model," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 179-190.
    17. Anatoliy Swishchuk, 2021. "Merton Investment Problems in Finance and Insurance for the Hawkes-Based Models," Risks, MDPI, vol. 9(6), pages 1-13, June.
    18. Sona Kilianova & Daniel Sevcovic, 2013. "Transformation Method for Solving Hamilton-Jacobi-Bellman Equation for Constrained Dynamic Stochastic Optimal Allocation Problem," Papers 1307.3672, arXiv.org, revised Jul 2013.
    19. Croce, M.M. & Nguyen, Thien T. & Raymond, S. & Schmid, L., 2019. "Government debt and the returns to innovation," Journal of Financial Economics, Elsevier, vol. 132(3), pages 205-225.
    20. Howard Kung & Gonzalo Morales & Alexandre Corhay, 2017. "Fiscal Discount Rates and Debt Maturity," 2017 Meeting Papers 840, Society for Economic Dynamics.

    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:gam:jjrfmx:v:14:y:2021:i:7:p:285-:d:579911. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.