IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v286y2020i1d10.1007_s10479-017-2707-9.html
   My bibliography  Save this article

A decomposition algorithm for computing income taxes with pass-through entities and its application to the Chilean case

Author

Listed:
  • Javiera Barrera

    (Universidad Adolfo Ibáñez)

  • Eduardo Moreno

    (Universidad Adolfo Ibáñez)

  • Sebastián Varas K.

    (CIRIC - INRIA Chile)

Abstract

Income tax systems with “pass-through” entities transfer a firm’s income to shareholders, which are taxed individually. In 2014, a Chilean tax reform introduced this type of entity and changed to an accrual basis that distributes incomes (but not losses) to shareholders. A crucial step for the Chilean taxation authority is to compute the final income of each individual given the complex network of corporations and companies, usually including cycles between them. In this paper, we show the mathematical conceptualization and the solution to the problem, proving that there is only one way to distribute income to taxpayers. Using the theory of absorbing Markov chains, we define a mathematical model for computing the taxable income of each taxpayer, and we propose a decomposition algorithm for this problem. This approach allows us to compute the solution accurately and to efficiently use computational resources. Finally, we present some characteristics of Chilean taxpayers’ network and the computational results of the algorithm using this network.

Suggested Citation

  • Javiera Barrera & Eduardo Moreno & Sebastián Varas K., 2020. "A decomposition algorithm for computing income taxes with pass-through entities and its application to the Chilean case," Annals of Operations Research, Springer, vol. 286(1), pages 545-557, March.
    • Handle: RePEc:spr:annopr:v:286:y:2020:i:1:d:10.1007_s10479-017-2707-9
    DOI: 10.1007/s10479-017-2707-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-017-2707-9
    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/s10479-017-2707-9?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. Congressional Budget Office, 2012. "Taxing Businesses Through the Individual Income Tax," Reports 43750, Congressional Budget Office.
    2. Lee, Zu-Hsu & Deng, Shiming & Lin, Beixin & Yang, James G.S., 2010. "Decision model and analysis for investment interest expense deduction and allocation," European Journal of Operational Research, Elsevier, vol. 200(1), pages 268-280, January.
    3. Louveaux, F., 1982. "Optimal scheduling of income tax prepayments under stochastic incomes," European Journal of Operational Research, Elsevier, vol. 9(1), pages 26-32, January.
    4. Berg, Menachem & Waegenaere, Anja De & Wielhouwer, Jacco L., 2001. "Optimal tax depreciation with uncertain future cash-flows," European Journal of Operational Research, Elsevier, vol. 132(1), pages 197-209, July.
    5. Ziping Wang & Wenlian Gao & Samar K. Mukhopadhyay, 2016. "Impact of taxation on international transfer pricing and offshoring decisions," Annals of Operations Research, Springer, vol. 240(2), pages 683-707, May.
    6. Congressional Budget Office, 2012. "Taxing Businesses Through the Individual Income Tax," Reports 43750, Congressional Budget Office.
    7. Kulp, Alison & Hartman, Joseph C., 2011. "Optimal tax depreciation with loss carry-forward and backward options," European Journal of Operational Research, Elsevier, vol. 208(2), pages 161-169, January.
    8. Gerard Miller & Melissa Weatherwax & Timothy Gardinier & Naoki Abe & Prem Melville & Cezar Pendus & David Jensen & Chandan K. Reddy & Vince Thomas & James Bennett & Gary Anderson & Brent Cooley, 2012. "Tax Collections Optimization for New York State," Interfaces, INFORMS, vol. 42(1), pages 74-84, February.
    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. Kulp, Alison & Hartman, Joseph C., 2011. "Optimal tax depreciation with loss carry-forward and backward options," European Journal of Operational Research, Elsevier, vol. 208(2), pages 161-169, January.
    2. Javiera Barrera & Eduardo Moreno & Sebastian Varas, 2016. "A decomposition algorithm for computing income taxes with pass-through entities and its application to the Chilean case," Papers 1611.05690, arXiv.org.
    3. Hagen Ackermann & Martin Fochmann & Nadja Wolf, 2016. "The Effect of Straight-Line and Accelerated Depreciation Rules on Risky Investment Decisions—An Experimental Study," IJFS, MDPI, vol. 4(4), pages 1-26, October.
    4. Adkins, Roger & Paxson, Dean, 2013. "The effect of tax depreciation on the stochastic replacement policy," European Journal of Operational Research, Elsevier, vol. 229(1), pages 155-164.
    5. Piotr Lewandowski & Pawel Chrostek & Jan Baran & Iga Magda & Maciej Lis & Anna Pankowiec & Piotr Szczerba & Maciej Bitner & Magdalena Kaminska, 2014. "Employment in Poland 2013. Labour in the Age of Structural Change," Books and Reports published by IBS, Instytut Badan Strukturalnych, number zwp2013 edited by Piotr Lewandowski & Iga Magda, january.
    6. Adkins, Roger & Paxson, Dean, 2017. "Replacement decisions with multiple stochastic values and depreciation," European Journal of Operational Research, Elsevier, vol. 257(1), pages 174-184.
    7. Jung, Se-Youn & Huh, Woonghee Tim & Park, Kun Soo, 2022. "Impact of the arm’s length regulation on a supply chain with asymmetric retailers," European Journal of Operational Research, Elsevier, vol. 300(3), pages 865-883.
    8. Subodha Kumar & Rakesh R. Mallipeddi, 2022. "Impact of cybersecurity on operations and supply chain management: Emerging trends and future research directions," Production and Operations Management, Production and Operations Management Society, vol. 31(12), pages 4488-4500, December.
    9. Shoghi , Amirhossein, 2019. "Debt Collection Industry: Machine Learning Approach," Journal of Money and Economy, Monetary and Banking Research Institute, Central Bank of the Islamic Republic of Iran, vol. 14(4), pages 453-473, October.
    10. Wielhouwer, Jacco L. & Waegenaere, Anja De & Kort, Peter M., 2002. "Optimal tax depreciation under a progressive tax system," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 243-269, December.
    11. da Silva Stefano, Gustavo & Antunes, Tiago dos Santos & Lacerda, Daniel Pacheco & Wolf Motta Morandi, Maria Isabel & Piran, Fabio Sartori, 2022. "The impacts of inventory in transfer pricing and net income: Differences between traditional accounting and throughput accounting," The British Accounting Review, Elsevier, vol. 54(2).
    12. De Waegenaere, A.M.B. & Wielhouwer, J.L., 2008. "Dynamic Tax Depreciation Strategies," Discussion Paper 2008-87, Tilburg University, Center for Economic Research.
    13. Vadim Arkin & Alexander Slastnikov, 2007. "The effect of depreciation allowances on the timing of investment and government tax revenue," Annals of Operations Research, Springer, vol. 151(1), pages 307-323, April.
    14. Kim, Bosung & Park, Kun Soo & Jung, Se-Youn & Park, Sang Hun, 2018. "Offshoring and outsourcing in a global supply chain: Impact of the arm’s length regulation on transfer pricing," European Journal of Operational Research, Elsevier, vol. 266(1), pages 88-98.
    15. Lukasz A. Drozd & Ricardo Serrano-Padial, 2017. "Modeling the Revolving Revolution: The Debt Collection Channel," American Economic Review, American Economic Association, vol. 107(3), pages 897-930, March.
    16. Kopel, Michael & Löffler, Clemens, 2023. "Tax differences and international location strategies," International Journal of Production Economics, Elsevier, vol. 256(C).
    17. Elitzur, Ramy, 2020. "Data analytics effects in major league baseball," Omega, Elsevier, vol. 90(C).
    18. Johannes Kriebel & Kevin Yam, 2020. "Forecasting recoveries in debt collection: Debt collectors and information production," European Financial Management, European Financial Management Association, vol. 26(3), pages 537-559, June.
    19. Li, Wei & Sun, Hui & Dong, Hao & Gan, Yuqin & Koh, Lenny, 2023. "Outsourcing decision-making in global remanufacturing supply chains: The impact of tax and tariff regulations," European Journal of Operational Research, Elsevier, vol. 304(3), pages 997-1010.
    20. Wu, Zhiqiao & Lu, Xiangyuan, 2018. "The effect of transfer pricing strategies on optimal control policies for a tax-efficient supply chain," Omega, Elsevier, vol. 80(C), pages 209-219.

    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:annopr:v:286:y:2020:i:1:d:10.1007_s10479-017-2707-9. 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.