IDEAS home Printed from https://ideas.repec.org/a/spr/rvmgts/v18y2024i12d10.1007_s11846-023-00721-1.html
   My bibliography  Save this article

Arbitrage and non-linear taxes

Author

Listed:
  • Marcus Becker

    (ISM International School of Management)

  • Andreas Löffler

    (Freie Universität Berlin)

Abstract

Incorporating a progressive income tax into an economic decision problem raises the question whether this tax does not create arbitrage opportunities. We investigate this problem in a riskless (multi-period) economy. With a convex tax function we identify a particular kind of arbitrage (called bounded arbitrage): In this case the gain achievable through arbitrage trade is limited and cannot reach infinity.We are able to give a complete characterisation based on prizes of the traded assets as to whether bounded as well as unbounded arbitrage opportunities will exist.

Suggested Citation

  • Marcus Becker & Andreas Löffler, 2024. "Arbitrage and non-linear taxes," Review of Managerial Science, Springer, vol. 18(12), pages 3487-3514, December.
    • Handle: RePEc:spr:rvmgts:v:18:y:2024:i:12:d:10.1007_s11846-023-00721-1
    DOI: 10.1007/s11846-023-00721-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11846-023-00721-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11846-023-00721-1?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Dybvig, Philip H & Ross, Stephen A, 1986. "Tax Clienteles and Asset Pricing," Journal of Finance, American Finance Association, vol. 41(3), pages 751-762, July.
    2. Ross, Stephen A, 1987. "Arbitrage and Martingales with Taxation," Journal of Political Economy, University of Chicago Press, vol. 95(2), pages 371-393, April.
    3. David F. Bradford, 2000. "Taxation, Wealth, and Saving," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262024705, April.
    4. Denis Gromb & Dimitri Vayanos, 2018. "The Dynamics of Financially Constrained Arbitrage," Journal of Finance, American Finance Association, vol. 73(4), pages 1713-1750, August.
    5. Ross, Stephen A, 1985. "Debt and Taxes and Uncertainty," Journal of Finance, American Finance Association, vol. 40(3), pages 637-657, July.
    6. Jaime Cuevas Dermody & R. Tyrrell Rockafellar, 1991. "Cash Stream Valuation In the Face of Transaction Costs and Taxes," Mathematical Finance, Wiley Blackwell, vol. 1(1), pages 31-54, January.
    7. Clemens Sialm, 2009. "Tax Changes and Asset Pricing," American Economic Review, American Economic Association, vol. 99(4), pages 1356-1383, September.
    8. Dammon, Robert M & Green, Richard C, 1987. "Tax Arbitrage and the Existence of Equilibrium Prices for Financial Assets," Journal of Finance, American Finance Association, vol. 42(5), pages 1143-1166, December.
    9. Prisman, Eliezer Z, 1986. "Valuation of Risky Assets in Arbitrage Free Economies with Frictions," Journal of Finance, American Finance Association, vol. 41(3), pages 545-557, July.
    10. John R. Graham & Clifford W. Smith, 1999. "Tax Incentives to Hedge," Journal of Finance, American Finance Association, vol. 54(6), pages 2241-2262, December.
    11. Darrell Duffie, 2010. "Presidential Address: Asset Price Dynamics with Slow‐Moving Capital," Journal of Finance, American Finance Association, vol. 65(4), pages 1237-1267, August.
    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. Bjarne Jensen, 2009. "Valuation before and after tax in the discrete time, finite state no arbitrage model," Annals of Finance, Springer, vol. 5(1), pages 91-123, January.
    2. Christoph Kuhn, 2018. "How local in time is the no-arbitrage property under capital gains taxes ?," Papers 1802.06386, arXiv.org, revised Sep 2018.
    3. Klein, Peter, 2004. "The capital gain lock-in effect and perfect substitutes," Journal of Public Economics, Elsevier, vol. 88(12), pages 2765-2783, December.
    4. Frank Strobel, 2005. "International tax arbitrage, financial parity conditions and preferential capital gains taxation," Quantitative Finance, Taylor & Francis Journals, vol. 5(2), pages 219-226.
    5. Basak, Suleyman & Croitoru, Benjamin, 2001. "Non-linear taxation, tax-arbitrage and equilibrium asset prices," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 347-382, April.
    6. Strobel, Frank, 2012. "International tax arbitrage, currency options and put-call parity conditions," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 22(3), pages 473-486.
    7. Jouini, Elyes & Kallal, Hedi & Napp, Clotilde, 2001. "Arbitrage and viability in securities markets with fixed trading costs," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 197-221, April.
    8. Strobel, Frank, 2001. "International tax arbitrage, tax evasion and interest parity conditions," Research in Economics, Elsevier, vol. 55(4), pages 413-427, December.
    9. Frank Milne & Xing Jin, 2006. "Taxation And Transaction Costs In A General Equilibrium Asset Economy," Working Paper 1111, Economics Department, Queen's University.
    10. repec:dau:papers:123456789/5593 is not listed on IDEAS
    11. 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.
    12. Elyès Jouini & Hédi Kallal, 1999. "Viability and Equilibrium in Securities Markets with Frictions," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 275-292, July.
    13. repec:dau:papers:123456789/5603 is not listed on IDEAS
    14. Strobel, Frank, 2012. "International tax arbitrage and residence vs. source-based capital income taxation," Research in Economics, Elsevier, vol. 66(4), pages 391-397.
    15. Klein, Peter, 1999. "The capital gain lock-in effect and equilibrium returns," Journal of Public Economics, Elsevier, vol. 71(3), pages 355-378, March.
    16. Clemens Sialm & Hanjiang Zhang, 2020. "Tax‐Efficient Asset Management: Evidence from Equity Mutual Funds," Journal of Finance, American Finance Association, vol. 75(2), pages 735-777, April.
    17. 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.
    18. Xiaotie Deng & Zhong Li & Shouyang Wang & Hailiang Yang, 2005. "Necessary and Sufficient Conditions for Weak No-Arbitrage in Securities Markets with Frictions," Annals of Operations Research, Springer, vol. 133(1), pages 265-276, January.
    19. Chambers, Robert G. & Quiggin, John C., 2002. "Resource Allocation And Asset Pricing," Working Papers 28594, University of Maryland, Department of Agricultural and Resource Economics.
    20. Chambers, Robert G. & Quiggin, John, 2009. "Separability of stochastic production decisions from producer risk preferences in the presence of financial markets," Journal of Mathematical Economics, Elsevier, vol. 45(11), pages 730-737, December.
    21. Lorenzo Bastianello & Alain Chateauneuf & Bernard Cornet, 2022. "Put-Call Parities, absence of arbitrage opportunities and non-linear pricing rules," Papers 2203.16292, arXiv.org.
    22. Liao, Gordon Y., 2020. "Credit migration and covered interest rate parity," Journal of Financial Economics, Elsevier, vol. 138(2), pages 504-525.

    More about this item

    Keywords

    No-arbitrage with taxation; Fundamental theorem of asset pricing; Non-constant tax rates; Application of convex optimization problems;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • H24 - Public Economics - - Taxation, Subsidies, and Revenue - - - Personal Income and Other Nonbusiness Taxes and Subsidies

    Statistics

    Access and download statistics

    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:spr:rvmgts:v:18:y:2024:i:12:d:10.1007_s11846-023-00721-1. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.