La curva de Laffer puede aparecer....bajo condiciones muy restrictivas: baja productividad, amplios incentivos al fraude fiscal y tipos impositivos iniciales muy elevados
Income tax evasion: tax elasticity, welfare, and revenue
International Tax and Public Finance volume 28, pages 533–566 (2021)
Abstract
This paper provides a general equilibrium model of income tax evasion. As functions of the share of income reported, the paper contributes an analytic derivation of the tax elasticity of taxable income, the welfare cost of the tax, and government revenue as a percent of output. It shows how an increase in the tax rate causes the tax elasticity and welfare cost to increase in magnitude by more than with zero evasion. Keeping constant the ratio of income tax revenue to output, as shown to be consistent with certain US evidence, a rising productivity of the goods sector induces less evasion and thereby allows tax rate reduction. The paper derives conditions for a stable share of income tax revenue in output with dependence upon the tax elasticity of reporting income. Examples are provided with less and more productive economies in terms of the tax elasticity of reported income, the welfare cost of taxation and the tax revenue as a percent of output, with sensitivity analysis with respect to leisure preference and goods productivity. Discussion focuses on how the tax evasion analysis may help explain such fiscal tax policy as the postwar US income tax rate reductions along with discussion of government fiscal multipliers. Fiscal policy with tax evasion included shows how tax rate reduction induces less tax evasion, a lower welfare cost of taxation, and makes for a stable income tax share of output.
Este trabajo proporciona un modelo de equilibrio general de la evasión del impuesto sobre la renta. Como funciones de la parte de la renta declarada, el documento aporta una derivación analítica de la elasticidad fiscal de la renta imponible, el coste de bienestar del impuesto y los ingresos públicos como porcentaje de la producción. Muestra cómo un aumento del tipo impositivo hace que la elasticidad fiscal y el coste del bienestar aumenten en magnitud más que con una evasión nula. Manteniendo constante la relación entre la recaudación del impuesto sobre la renta y la producción, como se demuestra que es coherente con ciertos datos de EE.UU., un aumento de la productividad del sector de bienes induce una menor evasión y, por tanto, permite una reducción del tipo impositivo. El documento deriva las condiciones para una proporción estable de los ingresos del impuesto sobre la renta en la producción, con dependencia de la elasticidad fiscal de los ingresos declarados. Se ofrecen ejemplos con economías menos y más productivas en cuanto a la elasticidad fiscal de la renta declarada, el coste de bienestar de los impuestos y los ingresos fiscales como porcentaje de la producción, con un análisis de sensibilidad respecto a la preferencia de ocio y la productividad de los bienes. La discusión se centra en cómo el análisis de la evasión fiscal puede ayudar a explicar la política fiscal de impuestos, como las reducciones de los tipos del impuesto sobre la renta de Estados Unidos en la posguerra, junto con la discusión de los multiplicadores fiscales del gobierno. La política fiscal con la evasión fiscal incluida muestra cómo la reducción de los tipos impositivos induce una menor evasión fiscal, un menor coste de bienestar de los impuestos, y hace que la participación del impuesto sobre la renta en la producción sea estable.
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Notes
- 1.
- 2.
This is the main point of Kopczuk (2005).
- 3.
For example, Alstadsæter et al. (2019a) present evidence on the amount of income hidden from taxation internationally, within banks, on the basis of wealth held in previously undisclosed bank accounts.
- 4.
See for example Weisbach (2003) on the distinction between tax avoidance and evasion, with for example tax expenditures being legal but evasive, so that a hard line between these activities is tenous.
- 5.
- 6.
See Lucas’s (1990) explanation of the productivity differential between developed and less developed countries in terms of the wage rate.
- 7.
Weisbach (2003, p. 9) expands on the welfare approach to avoidance and evasion: “To put the problem in a welfarist framework, we cannot assume pre-existing definitions of tax avoidance and evasion. Instead, we must determine which responses to taxation will be treated in various fashions based directly on the welfare consequences of such treatment”.
- 8.
U.S. Bureau of Economic Analysis (BEA), Federal government current tax receipts: Personal current taxes; from the Federal Reserve Bank of St. Louis; defined in BEA Table 3.4. as federal and state income taxes for 98% of the total reported in 2018; federal income taxes are 78% of that total.
- 9.
World Bank Development Indicators; World Bank ID: GC.TAX.TOTL.GD.ZS.
- 10.
World Bank Development Indicators: World Bank ID: GC.TAX.YPKG.RV.ZS.
- 11.
World Bank Development Indicators; World Bank ID: GC.TAX.YPKG.RV.ZS.
- 12.
While stable since 1959, the US income tax share of GDP has decreased slightly since 1978.
- 13.
The model is a special, simplified, case of the Gillman and Kejak (2014) economy that includes both human and physical capital, with endogenous growth.
- 14.
The dividend income is assumed to be hidden by the bank; it can be made taxable which introduces a squared
.
- 29.
I am grateful for this suggestion by an anonymous referee.
- 30.
Note that this includes labor income, profit and capital gains which is broader than the concept of the paper’s model which can be extended to include capital and the capital income tax with similar results.
- 31.
“It is compiled from National Accounts Statistics (NAS), published annually by the Central Statistical Organization, Government of India and supplemented by Input–Output tables, Annual Survey of Industries & National Sample Survey Organizations (NSSO) surveys on employment & unemployment.” according to Krishna et al. (2018).” See: https://scholar.harvard.edu/files/jorgenson/files/pl09a_india _worldklems2018_dkd.pdf?m=1528208436.
- 32.
“Over 20 countries in the world, including five central and eastern European Member States and seven EU neighbouring countries, have introduced a so-called “flat tax” (initially the three Baltic countries in 1994-1995, followed since 2001 by a second wave of countries including Russia, Serbia, Ukraine, Slovakia, Georgia, Romania, the former Yugoslav Republic of Macedonia, Montenegro and Albania—see table). The “flat tax” concept is usually associated with the academic works of Hall and Rabushka (1983, (1985) who consider a single tax rate applied to both personal and corporate income beyond a given threshold or “basic allowance” (ECB Monthly Bulletin, September euro 2007, p. 81).”
- 33.
Gorodnichenko et al. (2009), for example, examine flat tax reform, tax evasion and welfare in Russia; Azacis and Gillman (2010) show welfare effects of flat tax reform in the Baltics, including transition dynamics; and Holter et al. (2019), and Alstadsæter et al. (2019a) address Laffer curves, flat and progressive taxes, and inequality.
- 34.
Galí et al. (2007) qualify their results by finding that the financing by tax increases needs to be more associated with an increase in debt than with an increase in current spending.
- 35.
- 36.
Slemrod (2018) discusses features of the 2017 Act that broaden the tax base on the basis of some long-standing, well-known, issues leftover from previous tax reforms.
- 37.
Piketty et al. (2018, p. 600) analyze many US tax acts and note in contrast, for example, that “The 2013 tax reform has partly reverted the long-run decline in top tax rates”.
- 38.
Eliminating the 10% investment tax credit was estimated by the US Congressional Joint Tax Committee to be able to raise revenue sufficient to pay for a seven percent decrease in the corporate tax rate from 46 to 39%; the elimination of this credit became part of the Reagan Treasury proposal and the final Act; see McLure et al. (1987) for other details.
- 39.
Holter et al. (2019), for example, find that income tax rate reduction lowers tax revenue depending in degree on the nature of progressivity of the code; Trabandt and Uhlig (2011) estimate US and European Laffer curves and calculate the percent of labor and capital income tax cuts that are self-financing.
References
Allingham, M. G., & Agnar, S. (1972). Income tax evasion: A theoretical analysis. Journal of Public Economics, 1(1), 323–338.
Alstadsæter, A., Johannesen, N., & Zucmanet, G. (2019a). Tax evasion and inequality. American Economic Review, 109(6), 2073–2103.
Alstadsæter, A., Kopczuk, W., & Telle, K. (2019b). Social networks and tax avoidance: Evidence from a well-defined Norwegian tax shelter. International Tax and Public Finance, 26(6), 1291–1328.
Auerbach, A. J. (2002). The bush tax cut and national saving. National Tax Journal, LV, 387–407.
Azacis, H., & Gillman, M. (2010). Flat tax reform: The Baltics 2000–2007. Journal of Macroeconomics, 32, 692–708.
Baumol, W. J. (1952). The transactions demand for cash: An inventory theoretic approach. Quarterly Journal of Economics, 66, 545–56.
Becker, G. S. (1965). A theory of the allocation of time. The Economic Journal, 75(29), 493–517.
Becker, G. S. (1968). Crime and punishment: An economic approach. Journal of Political Economy., 76, 169–85.
Benk, S., Gillman, M., & Kejak, M. (2005). Credit shocks in the financial deregulatory era: Not the usual suspects. Review of Economic Dynamics, 8(3), 668–687.
Benk, S., Gillman, M., & Kejak, M. (2008). Money velocity in an endogenous growth business cycle with credit shocks. Journal of Money, Credit, and Banking, 40(6), 1281–1293.
Benk, S., Gillman, M., & Kejak, M. (2010). A banking explanation of the US velocity of money: 1919–2004. Journal of Economic Dynamics and Control, 34(4), 765–779.
Berk, J., & Green, R. (2004). Mutual fund flows and performance in rational markets. Journal of Political Economy, 112(6), 1269–95.
Clark, J. A. (1984). Estimation of economies of scale in banking using a generalized functional form. Journal of Money, Credit, and Banking, 16(1), 53–68.
Csabafi, T., Davies, C., Gillman, M., & Kejak, M. (2020). Interest rates with optimal inflation tax avoidance. St. Louis: University of Missouri.
Cummins, J. G., Hassett, K. A., & Hubbard, R. G. (1994). A reconsideration of investment behavior using tax reforms as natural experiments. Brookings Papers on Economic Activity, 1994(2), 1–74.
Degryse, H., Kim, M., & Ongena, S. (2009). Microeconometrics of banking: Methods, applications, and results. New York: Oxford Unversity Press.
Egger, P., Radulescu, D., & Strecker, N. (2013). Effective labor taxation and the international location of headquarters. International Tax and Public Finance, 20, 631–652.
Ehrlich, I. (1973). Participation in illegitimate activities: A theoretical and empirical investigation. Journal of Political Economy, 81(3), 521–65.
Ehrlich, I. (1996). Crime, punishment, and the market for offenses. Journal of Economic Perspectives, 10(1), 43–67.
European Central Bank. (2007). Fiscal developments. ECB Monthly Bulletin (pp. 78–83). Frankfurt am Main.
Feldstein, M. (1999). Tax avoidance and the deadweight loss of the income tax. The Review of Economics and Statistics, 81(4), 674–80.
Gale, W. G., & Brown, S. (2013). Tax reform for growth, equity, and revenue. Public Finance Review, 41(6), 721–754.
Galí, J., López-Salido, J. D. & Vallés, J. (2007). Understanding the Effects of Government Spending on Consumption. Journal of the European Economic Association, 5(1), 227–270.
Gillman, M. (2020a). A banking approach to the welfare cost of inflationary finance. St. Louis: University of Missouri.
Gillman, M. (2020b). The welfare cost of inflation with banking time. BE Press Journal of Macroeconomics. Advances, 20(1), 1–20.
Gillman, M., & Kejak, M. (2005). Inflation and balanced-path growth with alternative payment mechanisms. Economic Journal, 115(500), 247–270.
Gillman, M., & Kejak, M. (2014). Tax evasion, human capital, and productivity-induced tax rate reduction. Journal of Human Capital, 8(1), 42–79.
Gomme, P., & Rupert, P. (2007). Theory, measurement and calibration of macroeconomic models. Journal of Monetary Economics, 54(2), 460–497.
Gorodnichenko, Y., Martinez-Vazquez, J., & Sabirianova, P. K. (2009). Myth and reality of flat tax reform: Micro estimates of tax evasion response and welfare effects in Russia. Journal of Political Economy, 117(3), 504–554.
Hall, R. E., & Rabushka, A. (1983). Low tax, simple tax, flat tax. New York: McGraw Hill.
Hall, R. E., & Rabushka, A. (1985). The flat tax. Stanford: Hoover Institution Press.
Hancock, D. (1985). The financial firm: Production with monetary and nonmonetary goods. Journal of Political Economy, 93(5), 859–80.
Hansen, L. P., & Sargent, T. (2005). Certainty equivalence’ and ‘model uncertainty. In J. Faust, A. Orphanides, & D. Reifschneider (Eds.), Models and monetary policy: Research in the tradition of dale Henderson, Richard Porter, and Peter Tinsley. Washington: Board of Governors, Federal Reserve System.
Holter, H. A., Krueger, D., & Stepanchuk, S. (2019). How do tax progressivity and household heterogeneity affect Laffer curves? Quantitative Economics, 10, 1317–1356.
Klepper, S., & Nagin, D. (1989). The anatomy of tax evasion. Journal of Law, Economics, and Organization, 5(1), 1–24.
Kopczuk, W. (2005). Tax Bases, Tax Rates and the Elasticity of Reported Income. Journal of Public Economics, 89(11–12), 2093–2119.
Krishna, K. L., Dax, D. K., & Das, P. C. (2018). Growth and productivity in 21st Century India: A disaggregated industry level analysis. In fifth world KLEMS conference, June 04–05 2018. Harvard University.
Lucas, R. E, Jr. (1990). Why doesn’t capital flow from rich to poor countries? American Economic Review, 80(2), 92–96.
Lucas, R. E, Jr. (2000). Inflation and welfare. Econometrica, 68(2), 247–274.
Lucas, R. E, Jr., & Stokey, N. L. (1983). Optimal fiscal and monetary policy in an economy without capital. Journal of Monetary Economics, 12(1), 55–93.
McLure, J., Charles, E., & Zodrow, G. R. (1987). Treasury I and the tax reform act of 1986: The economics and politics of tax reform. Journal of Economic Perspectives, 1(1), 37–58.
Mertens, K., & Ravn, M. O. (2014). A reconciliation of SVAR and narrative estimates of tax multipliers. Journal of Monetary Economics, 68(S), 1–19.
OECD. (2020a). Taxing Wages 2020.
OECD. (2020b). Taxing Wages in Selected Partner Economies: Brazil (p. 2018). India, Indonesia and South Africa in: China.
Piketty, T., Saez, E., & Zucman, G. (2018). Distributional national accounts: Methods and estimates for the United States. The Quarterly Journal of Economics, 133(2), 553–609.
Poterba, J. M. (2011). Introduction: Economic analysis of tax expenditures. National Tax Journal, 64(2), 451–457.
Pirttilä, J., & Tarp, F. (2019). Public economics and development action: An introduction to a special issue in international tax and public finance. International Tax and Public Finance, 26(5), 967–971.
Ramsey, F. P. (1927). A contribution to the theory of taxation. The Economic Journal, 37(145), 47–61.
Saez, E., Slemrod, J., & Giertz, S. H. (2012). The elasticity of taxable income with respect to marginal tax rates: A critical review. Journal of Economic Literature, 50(1), 3–50.
Sandmo, A. (2005). The theory of tax evasion: A retrospective view. National Tax Journal, 58(4), 643–663.
Schneider, F., & Enste, D. H. (2000). Shadow economies: Size, causes, and consequences. Journal of Economic Literature, 38(1), 77–114.
Sealey, C., & Lindley, J. (1977). Inputs, outputs, and the theory of production and cost of depository financial institutions. Journal of Finance, 32, 1251–1266.
Slemrod, J. (2018). Is this tax reform, or just confusion? Journal of Economic Perspectives, 32(4), 73–96.
Stokey, N., & Rebelo, S. (1995). Growth effects of flat-rate taxes. Journal of Political Economy, 103(3), 519–550.
Trabandt, M., & Uhlig, H. (2011). The Laffer curve revisited. Journal of Monetary Economics, 58(4), 305–327.
Turnovsky, S. J. (2000). Fiscal policy, elastic labor supply, and endogenous growth. Journal of Monetary Economics, 45(1), 185–210.
Weisbach, D. A. (2002). Ten truths about tax shelters. Tax Law Review, 55(2), 215–53.
Weisbach, D. A. (2003). Corporate tax avoidance. In 2003, Proceedings annual conference on taxation and minutes of the annual meeting of the National Tax Association, vol. 96 (pp. 9–15).
Weisbach, D. A. (2006). Tax expenditures, principal agent problems, and redundancy. Washington University Law Review, 84, 1823–1860.
Acknowledgements
I acknowledge support from the University of Missouri Hayek Professorship endowment fund and am indebted to the anonymous referees of this journal, and appreciate related discussion with Michal Kejak and Tamas Csabafi.
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Appendix: Equilibrium conditions and solution
Appendix: Equilibrium conditions and solution
The consumer problem is
with equilibrium conditions when the Lagrangian multipliers are binding as follows:
Only for the case when
would there lack a unique and well-defined equilibrium with tax evasion. Given and then.
The bank problem with the production function for
substituted in from Eq. (7) and equilibrium conditions are given by
In equilibrium the time subscripts can be dropped. Equations (34) and (40) imply that
and such that Eq. (13) results above with Substituting in that that and thatthe budget constraint of Eq. (36 ) writes as
The second main equation is the marginal rate of substitution between goods and leisure, which from Eq. (10), or the first-order conditions above, allows solving for leisure in terms of consumption as
We have the solutions for
and from the bank equilibrium Eqs. (13) and (15) above, as well as from “Appendix” conditions 38, 39 and 40. Given the andsolutions, Eqs. 41 and 42 are in two variables with two unknowns such that both c and x may be solved:
For leisure in turn the solution is
The leisure solution gives the solution for labor using the time constraint of
The solution for time in banking
in turn comes from the solution for in Eq. (12), or from “Appendix” bank conditions. Given that and that l is solved,is found as
Goods output is given by
Since and from Eq. (16) thatgoods output follows as
The final part of the equilibrium is to confirm that the social resource constraint is respected by which
Substituting in the above solution for y and adding z, and rewriting, it results that
Consider output and consumption with
and note that withOutput and consumption equal the permanent income of the (Becker 1965) full value of time
minus the value of time used up in evasion through bank labor per unit of income wl, which is , as factored by , which is the fraction of permanent income consumed. The latter fraction rises as rises from zero. The tax causes less permanent income and effectively more leisure preference such that a higher fraction of a smaller permanent income is consumed. This is the effect of the tax distortion with tax evasion. Without tax evasion (, as increases, permanent income falls by more and the fraction of permanent income consumed rises by more such that output and consumption fall by more. The lesser distortion with tax evasion results despite that fact that tax evasion wastes resources as a fraction of income equal to the value of bank time per unit of income, orRights and permissions
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Gillman, M. Income tax evasion: tax elasticity, welfare, and revenue. Int Tax Public Finance 28, 533–566 (2021). https://doi.org/10.1007/s10797-020-09632-3
term that complicates the presentation of results while keeping them qualitatively the same.
Berk and Green (2004) assume a similar but exogenous upward sloping intermediation cost function for mutual funds supply.
The marginal cost for Fig. 2b can be solved for
.
For Examples 1 and 2,
.
See also Feldstein (1999) on the welfare cost of income taxation.
In related work, it is clarified how compensating only goods consumption is not a feasible equilibrium; see Gillman (2020a).
.
for inflation tax avoidance.
Starting at
reduction over 55 years.
Egger et al. (2013) use the same “Taxing Wages” OECD methodology for their study on the probability of corporate headquarter locations.
For a literature review on estimates of shadow economy sizes internationally, see for example, Schneider and Enste (2000).
For a lower tax rate of
evasion rate.
Using Appendix solution for output which equals consumption when
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