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Optimal dynamic tax evasion

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  • Levaggi, Rosella
  • Menoncin, Francesco

Abstract

We study optimal dynamic tax evasion in the framework proposed by Lin and Yang (2001) and Dzhumashev and Gahramanov (2011) with some modifications: a more flexible utility function, a more realistic audit process, and a penalty function which can be defined both on evaded income and evaded taxes. In the former case the elasticity between tax rate and tax evasion is positive, unless the subsistence consumption level is higher than a given threshold. In the latter case the relationship is usually negative , but the value of elasticity depends on the form of absolute risk aversion. In particular we show that for increasing relative risk aversion, for a tax rate higher than 50%, the elasticity may even become positive. US data are consistent with IRRA preferences.

Suggested Citation

  • Levaggi, Rosella & Menoncin, Francesco, 2013. "Optimal dynamic tax evasion," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2157-2167.
    • Handle: RePEc:eee:dyncon:v:37:y:2013:i:11:p:2157-2167
    DOI: 10.1016/j.jedc.2013.06.007
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    1. Carolina Achury & Sylwia Hubar & Christos Koulovatianos, 2012. "Saving Rates and Portfolio Choice with Subsistence Consumption," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(1), pages 108-126, January.
    2. Sennewald, Ken, 2007. "Controlled stochastic differential equations under Poisson uncertainty and with unbounded utility," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1106-1131, April.
    3. Ken Sennewald & Klaus Wälde, 2006. "“Itô's Lemma” and the Bellman Equation for Poisson Processes: An Applied View," Journal of Economics, Springer, vol. 89(1), pages 1-36, October.
    4. Dzhumashev, Ratbek & Gahramanov, Emin, 2011. "Comment on "A dynamic portfolio choice model of tax evasion: Comparative statics of tax rates and its implication for economic growth"," Journal of Economic Dynamics and Control, Elsevier, vol. 35(3), pages 253-256, March.
    5. Sethi, Suresh P. & Taksar, Michael I. & Presman, Ernst L., 1992. "Explicit solution of a general consumption/portfolio problem with subsistence consumption and bankruptcy," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 747-768.
    6. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    7. Lin, Wen-Zhung & Yang, C. C., 2001. "A dynamic portfolio choice model of tax evasion: Comparative statics of tax rates and its implication for economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 25(11), pages 1827-1840, November.
    8. Weinbaum, David, 2005. "Subsistence consumption, habit formation and the demand for long-term bonds," Journal of Economics and Business, Elsevier, vol. 57(4), pages 273-287.
    9. Christian Gollier, 2004. "The Economics of Risk and Time," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262572249, December.
    10. Strulik, Holger, 2010. "A Note On Economic Growth With Subsistence Consumption," Macroeconomic Dynamics, Cambridge University Press, vol. 14(5), pages 763-771, November.
    11. Feige, Edgar L. & Cebula, Richard, 2011. "America’s Underground Economy: Measuring the Size, Growth and Determinants of Income Tax Evasion in the U.S," MPRA Paper 29672, University Library of Munich, Germany.
    12. Carolina Achury & Sylwia Hubar & Christos Koulovatianos, 2012. "Saving Rates and Portfolio Choice with Subsistence Consumption," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(1), pages 108-126, January.
    13. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    14. Allingham, Michael G. & Sandmo, Agnar, 1972. "Income tax evasion: a theoretical analysis," Journal of Public Economics, Elsevier, vol. 1(3-4), pages 323-338, November.
    15. Joseph Eisenhauer & Luigi Ventura, 2003. "Survey measures of risk aversion and prudence," Applied Economics, Taylor & Francis Journals, vol. 35(13), pages 1477-1484.
    16. Yitzhaki, Shlomo, 1974. "Income tax evasion: A theoretical analysis," Journal of Public Economics, Elsevier, vol. 3(2), pages 201-202, May.
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    Cited by:

    1. Michele Bernasconi & Rosella Levaggi & Francesco Menoncin, 2020. "Dynamic Tax Evasion with Habit Formation in Consumption," Scandinavian Journal of Economics, Wiley Blackwell, vol. 122(3), pages 966-992, July.
    2. Francesco Menoncin & Andrea Modena & Luca Regis, 2023. "Dynamic Tax Evasion and Capital Misallocation in General Equilibrium," CRC TR 224 Discussion Paper Series crctr224_2023_453, University of Bonn and University of Mannheim, Germany.
    3. Domenico De Giovanni & Fabio Lamantia & Mario Pezzino, 2018. "Evolutionary Tax Evasion and Optimal Regulation," Economics Discussion Paper Series 1814, Economics, The University of Manchester.
    4. Rathke, Alex A.T., 2019. "Fuzzy Profit Shifting: A Model for Optimal Tax-induced Transfer Pricing with Fuzzy Arm's Length Parameter," MPRA Paper 91425, University Library of Munich, Germany.
    5. Giovanni, Domenico De & Lamantia, Fabio & Pezzino, Mario, 2019. "A behavioral model of evolutionary dynamics and optimal regulation of tax evasion," Structural Change and Economic Dynamics, Elsevier, vol. 50(C), pages 79-89.
    6. Ali Hussein Samadi & Najmeh Sajedianfard, 2017. "Tax Evasion in Oil-Exporting Countries: The Case of Iran," Iranian Economic Review (IER), Faculty of Economics,University of Tehran.Tehran,Iran, vol. 21(2), pages 241-267, Spring.
    7. Rosella Levaggi & Francesco Menoncin, 2015. "Dynamic Tax Evasion with Audits based on Conspicuous Consumption," Working papers 33, Società Italiana di Economia Pubblica.
    8. Dzhumashev, Ratbek & Levaggi, Rosella & Menoncin, Francesco, 2023. "Optimal tax enforcement with productive public inputs," Economic Modelling, Elsevier, vol. 126(C).
    9. Gamannossi degl’Innocenti, Duccio & Rablen, Matthew D., 2020. "Tax evasion on a social network," Journal of Economic Behavior & Organization, Elsevier, vol. 169(C), pages 79-91.
    10. Francesco Menoncin & Andrea Modena & Luca Regis, 2022. "Dynamic Tax Evasion and Capital Misallocation in General Equilibrium," Carlo Alberto Notebooks 679 JEL Classification: E, Collegio Carlo Alberto.
    11. Francesco Menoncin & Stefano Nembrini, 2018. "Stochastic continuous time growth models that allow for closed form solutions," Journal of Economics, Springer, vol. 124(3), pages 213-241, July.
    12. Gamannossi degl’Innocenti, Duccio & Levaggi, Rosella & Menoncin, Francesco, 2022. "Tax avoidance and evasion in a dynamic setting," Journal of Economic Behavior & Organization, Elsevier, vol. 204(C), pages 443-456.
    13. Dzhumashev Ratbek, 2016. "The Role of Income Uncertainty in the Corruption–Growth Nexus," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 16(2), pages 1169-1201, April.
    14. Levaggi, Rosella & Menoncin, Francesco, 2016. "Optimal dynamic tax evasion: A portfolio approach," Journal of Economic Behavior & Organization, Elsevier, vol. 124(C), pages 115-129.
    15. Rathke, Alex A.T., 2019. "Fuzzy Profit Shifting: A Model for Optimal Tax-induced Transfer Pricing with Fuzzy Arm's Length Parameter," EconStor Preprints 191027, ZBW - Leibniz Information Centre for Economics.
    16. Rosella Levaggi & Francesco Menoncin, 2016. "Dynamic tax evasion with audits based on visible consumption," Journal of Economics, Springer, vol. 119(2), pages 131-146, October.
    17. Alex A. T. Rathke, 2019. "Fuzzy Profit Shifting: A Model for Optimal Tax-induced Transfer Pricing with Fuzzy Arm's Length Parameter," Papers 1901.03843, arXiv.org.
    18. Bethencourt, Carlos & Kunze, Lars, 2020. "Social norms and economic growth in a model with labor and capital income tax evasion," Economic Modelling, Elsevier, vol. 86(C), pages 170-182.
    19. Bernasconi, Michele & Levaggi, Rosella & Menoncin, Francesco, 2015. "Tax evasion and uncertainty in a dynamic context," Economics Letters, Elsevier, vol. 126(C), pages 171-175.
    20. Gaetano T. Spartà & Gabriele Stabile, 2018. "Tax compliance with uncertain income: a stochastic control model," Annals of Operations Research, Springer, vol. 261(1), pages 289-301, February.

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    More about this item

    Keywords

    Optimal dynamic tax evasion; Tax rates;

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • H26 - Public Economics - - Taxation, Subsidies, and Revenue - - - Tax Evasion and Avoidance
    • H42 - Public Economics - - Publicly Provided Goods - - - Publicly Provided Private Goods

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