IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/107668.html
   My bibliography  Save this paper

Proportional Tax under Ambiguity

Author

Listed:
  • Dong, Xueqi
  • Liu, Shuo Li

Abstract

This paper studies how investment can be influenced by common tax and monetary policies, where investment is measured by the proportion of an investor’ wealth invested in the asset that pays a random return. We further prove that all risk- uncertainty averse individuals will increase investments if and only if a type of proportional tax with full loss offset (Domar and Musgrave 1944, QJE) is imposed. This result holds: 1. under ambiguity, that is when the probability distribution of an as- set’s return is unknown; 2. when borrowing in the safe asset is allowed.

Suggested Citation

  • Dong, Xueqi & Liu, Shuo Li, 2021. "Proportional Tax under Ambiguity," MPRA Paper 107668, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:107668
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/107668/1/MPRA_paper_107668.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Forges, Françoise & Minelli, Enrico, 2009. "Afriat's theorem for general budget sets," Journal of Economic Theory, Elsevier, vol. 144(1), pages 135-145, January.
    2. Tomasz Strzalecki, 2011. "Axiomatic Foundations of Multiplier Preferences," Econometrica, Econometric Society, vol. 79(1), pages 47-73, January.
    3. Cerreia-Vioglio, S. & Maccheroni, F. & Marinacci, M. & Montrucchio, L., 2011. "Uncertainty averse preferences," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1275-1330, July.
    4. Gauti B Eggertsson & Ragnar E Juelsrud & Lawrence H Summers & Ella Getz, 2024. "Negative Nominal Interest Rates and the Bank Lending Channel," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 91(4), pages 2201-2275.
    5. Charles F. Manski, 2014. "Choosing Size of Government Under Ambiguity: Infrastructure Spending and Income Taxation," Economic Journal, Royal Economic Society, vol. 0(576), pages 359-376, May.
    6. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    7. Lanier, Joshua, 2020. "Risk, ambiguity, and Giffen assets," Journal of Economic Theory, Elsevier, vol. 186(C).
    8. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2006. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Econometrica, Econometric Society, vol. 74(6), pages 1447-1498, November.
    9. ,, 2016. "Objective rationality and uncertainty averse preferences," Theoretical Economics, Econometric Society, vol. 11(2), May.
    10. Matzkin, Rosa L. & Richter, Marcel K., 1991. "Testing strictly concave rationality," Journal of Economic Theory, Elsevier, vol. 53(2), pages 287-303, April.
    11. Giovanni Dell'Ariccia, 2010. "Monetary Policy and Bank Risk-Taking," IMF Staff Position Notes 2010/09, International Monetary Fund.
    12. repec:dau:papers:123456789/4099 is not listed on IDEAS
    13. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    14. Katrine Jakobsen & Kristian Jakobsen & Henrik Kleven & Gabriel Zucman, 2020. "Wealth Taxation and Wealth Accumulation: Theory and Evidence From Denmark," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(1), pages 329-388.
    15. Jack M. Mintz, 1981. "Some Additional Results on Investment, Risk Taking, and Full Loss Offset Corporate Taxation with Interest Deductibility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 96(4), pages 631-642.
    16. Feldstein, Martin S, 1969. "The Effects on Taxation on Risk Taking," Journal of Political Economy, University of Chicago Press, vol. 77(5), pages 755-764, Sept./Oct.
    17. Francoise Forges & Enrico Minelli, 2009. "Afriat's theorem for generalized budget sets," Post-Print hal-00360726, HAL.
    18. Gollier Christian, 1995. "The Comparative Statics of Changes in Risk Revisited," Journal of Economic Theory, Elsevier, vol. 66(2), pages 522-535, August.
    19. Dimmock, Stephen G. & Kouwenberg, Roy & Mitchell, Olivia S. & Peijnenburg, Kim, 2016. "Ambiguity aversion and household portfolio choice puzzles: Empirical evidence," Journal of Financial Economics, Elsevier, vol. 119(3), pages 559-577.
    20. Ramon Casadesus-Masanell & Peter Klibanoff & Emre Ozdenoren, 1998. "Maximum Expected Utility over Savage Acts with a Set of Priors," Discussion Papers 1218, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    21. Ormiston, Michael B & Schlee, Edward E, 2001. "Mean-Variance Preferences and Investor Behaviour," Economic Journal, Royal Economic Society, vol. 111(474), pages 849-861, October.
    22. Buch, Claudia M. & Eickmeier, Sandra & Prieto, Esteban, 2014. "In search for yield? Survey-based evidence on bank risk taking," Journal of Economic Dynamics and Control, Elsevier, vol. 43(C), pages 12-30.
    23. Oliver D. Hart, 1975. "Some Negative Results on the Existence of Comparative Statics (Properties) in Portfolio Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(4), pages 615-621.
    24. J. E. Stiglitz, 1969. "The Effects of Income, Wealth, and Capital Gains Taxation on Risk-Taking," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 83(2), pages 263-283.
    25. Peter C. Fishburn & R. Burr Porter, 1976. "Optimal Portfolios with One Safe and One Risky Asset: Effects of Changes in Rate of Return and Risk," Management Science, INFORMS, vol. 22(10), pages 1064-1073, June.
    26. DellʼAriccia, Giovanni & Laeven, Luc & Marquez, Robert, 2014. "Real interest rates, leverage, and bank risk-taking," Journal of Economic Theory, Elsevier, vol. 149(C), pages 65-99.
    27. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    28. Meyer, Jack & Ormiston, Michael B, 1985. "Strong Increases in Risk and Their Comparative Statics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 425-437, June.
    29. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2014. "Revealed preference analysis for convex rationalizations on nonlinear budget sets," Journal of Economic Theory, Elsevier, vol. 152(C), pages 224-236.
    30. Mark J. Machina, 2014. "Ambiguity Aversion with Three or More Outcomes," American Economic Review, American Economic Association, vol. 104(12), pages 3814-3840, December.
    31. 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.
    32. Felix Kubler & Larry Selden & Xiao Wei, 2013. "Inferior Good and Giffen Behavior for Investing and Borrowing," American Economic Review, American Economic Association, vol. 103(2), pages 1034-1053, April.
    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. Dong, Xueqi, 2021. "Uncertainty Aversion and Convexity in Portfolio Choice," MPRA Paper 108264, University Library of Munich, Germany.
    2. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
    3. Ghirardato, Paolo & Pennesi, Daniele, 2020. "A general theory of subjective mixtures," Journal of Economic Theory, Elsevier, vol. 188(C).
    4. Blavatskyy, Pavlo R., 2013. "Two examples of ambiguity aversion," Economics Letters, Elsevier, vol. 118(1), pages 206-208.
    5. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo, 2022. "Ambiguity aversion and wealth effects," Journal of Economic Theory, Elsevier, vol. 199(C).
    6. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2013. "Ambiguity and robust statistics," Journal of Economic Theory, Elsevier, vol. 148(3), pages 974-1049.
      • Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2011. "Ambiguity and Robust Statistics," Working Papers 382, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    7. André, Eric, 2016. "Crisp monetary acts in multiple-priors models of decision under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 153-161.
    8. ,, 2016. "Objective rationality and uncertainty averse preferences," Theoretical Economics, Econometric Society, vol. 11(2), May.
    9. Stefan Trautmann & Peter P. Wakker, 2018. "Making the Anscombe-Aumann approach to ambiguity suitable for descriptive applications," Journal of Risk and Uncertainty, Springer, vol. 56(1), pages 83-116, February.
    10. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2012. "Probabilistic sophistication, second order stochastic dominance and uncertainty aversion," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 271-283.
    11. Gumen, Anna & Savochkin, Andrei, 2013. "Dynamically stable preferences," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1487-1508.
    12. Simone Cerreia-Vioglio & Lars Peter Hansen & Fabio Maccheroni & Massimo Marinacci, 2020. "Making Decisions under Model Misspecification," Papers 2008.01071, arXiv.org, revised Aug 2022.
    13. Soheil Ghili & Peter Klibanoff, 2021. "If It Is Surely Better, Do It More? Implications for Preferences Under Ambiguity," Management Science, INFORMS, vol. 67(12), pages 7619-7636, December.
    14. Massimo Marinacci, 2015. "Model Uncertainty," Journal of the European Economic Association, European Economic Association, vol. 13(6), pages 1022-1100, December.
    15. Faro, José Heleno & Lefort, Jean-Philippe, 2019. "Dynamic objective and subjective rationality," Theoretical Economics, Econometric Society, vol. 14(1), January.
    16. Grant, Simon & Polak, Ben, 2013. "Mean-dispersion preferences and constant absolute uncertainty aversion," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1361-1398.
    17. König-Kersting, Christian & Kops, Christopher & Trautmann, Stefan T., 2023. "A test of (weak) certainty independence," Journal of Economic Theory, Elsevier, vol. 209(C).
    18. Knispel, Thomas & Laeven, Roger J.A. & Svindland, Gregor, 2016. "Robust optimal risk sharing and risk premia in expanding pools," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 182-195.
    19. Sigrid Källblad, 2017. "Risk- and ambiguity-averse portfolio optimization with quasiconcave utility functionals," Finance and Stochastics, Springer, vol. 21(2), pages 397-425, April.
    20. Mihm, Maximilian, 2016. "Reference dependent ambiguity," Journal of Economic Theory, Elsevier, vol. 163(C), pages 495-524.

    More about this item

    Keywords

    Proportional Tax with Full Loss Offset; Ambiguity; Portfolio Choice;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:107668. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.