How Did the ‘Dualization’ of the Spanish Income Tax Affect Horizontal Equity?Assessing its Impact Using Copula Functions

  1. Carlos Díaz-Caro 1
  2. Jorge Onrubia 2
  1. 1 Universidad de Extremadura
    info

    Universidad de Extremadura

    Badajoz, España

    ROR https://ror.org/0174shg90

  2. 2 Universidad Complutense de Madrid
    info

    Universidad Complutense de Madrid

    Madrid, España

    ROR 02p0gd045

Journal:
Hacienda Pública Española / Review of Public Economics

ISSN: 0210-1173

Year of publication: 2019

Issue Title: Impact Evaluation of Public Policies : 2019

Issue: 231

Pages: 81-124

Type: Article

DOI: 10.7866/HPE-RPE.19.4.3 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Hacienda Pública Española / Review of Public Economics

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Abstract

The aim of this paper is to assess horizontal inequity (HI) caused by the introduction of a (semi-) dual structure for the Spanish personal income tax (PIT), adopting a copula function-based measurement framework. Following Bø et al. (2012), we estimate the Clayton, Frank and Gumbel copulas, belonging to the Archimedean class, to quantify the impact of the 2007 Spanish PIT reform on HI, comparing it with the previous tax design applied in 2006. In order to identify possible anticipation and adaptation effects, the analysis covers the 2004-2010 period. This research employs microdata from the Spanish PIT Return Panel. Results reveal two effects of the reform on the HI working in opposite directions: while the partition of the taxable income into two bases (one is taxed at ˜at rate) increases the HI, the transformation of personal and family allowances into tax credits reduces it. The predominance of one effect over the other depends on the equivalence scale applied.

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Bibliographic References

  • Akaike, H. (1974), “A new look at the statistical model identifcation”, IEEE Transactions on Automatic Control, 19 (6): 716-723.
  • Alstadsaeter, A. and Jacob, M. (2016), “Dividend taxes and income shifting”, Scandinavian Journal of Economics, 118(4): 693-717.
  • Aronson, R., Johnson, P. and Lambert, P. J. (1994), “Redistributive Effect and Unequal Income Tax Treatment in the U.K.”, Economic Journal, 104(423): 262-270.
  • Atkinson, A. (1980), “Horizontal Equity and the Distribution of the Tax Burden”, in H. Aaron and M. Boskin (eds.), The Economics of Taxation, Washington DC: The Brooking Institution.
  • Atkinson, A. B. and Bourguignon, F. (1982), “The comparison of multi-dimensioned distributions of economic status”, Review of Economic Studies, 49(2): 183-201.
  • Atkinson, A. B. and Stiglitz, J. E. (1976), “The Design of Tax Structure: Direct vs. Indirect Taxation”, Journal of Public Economics, 6(1-2): 55-75.
  • Auerbach, A. and Hassett, K. (2002), “A New Measure of Horizontal Equity”, American Economic Review, 92(4): 1116-1125.
  • Berliant, M. and Strauss, P. (1983), “Measuring the Distribution of Personal Income Tax”, in R. Zeckhauser and D. Leebaert (eds.), What Role for the Government? Lessons from Policy Research, Durham, NC: Duke University Press.
  • Blomqvist, N. (1950), “On a measure of dependence between two random variables”, Annals of Mathematical Statistics, 21(4): 593-600.
  • Bø, E. E., Lambert, P. J. and Thoresen, T. O. (2012), “Horizontal Inequity under a Dual Income Tax System: Principles and Measurement”, International Tax and Public Finance, 19(5): 625-640.
  • Boadway, R. (2004), “The Dual Income Tax System: an Overview”, CESifo DICE Report, 2(3): 3-8.
  • Boadway, R. (2011), “Individual income taxation: income, comsuption, or dual?”, in E. Albi and J. Martínez-Vázquez (eds.), The Edgar Guide to Tax Systems, Cheltenham, UK: Edward Elgar, 93-129.
  • Bradford, D. F. (ed.) (1977), Blueprints for Basic Tax Reform, Washington DC: U.S. Government Printing Offce.
  • Brennan, G. (1971), “Horizontal Equity: an Extension of an Extension”, Public Finance/Finances Publiques, 26(3): 437-456.
  • Caillault, C. and Guegan, D. (2005), “Empirical estimation of tail dependence using copulas: application to Asian markets”, Quantitative Finance, 5(5): 489-501.
  • Camarero, R., Herrero, O. and Zubiri, I. (1993), “La Medición de la Inequidad Horizontal: Teoría y una Aplicación al caso de Vizcaya”, Investigaciones Económicas, 17(2): 333-362.
  • Clayton, D. G. (1978), “A Model for Association in Bivariate Life Tables and Its Application in Epidemiological Studies of Familial Tendency in Chronic Disease Incidence”, Biometrika, 65(1): 141-151.
  • Cowell, F. (1985), “Measures of Distributional Change: an Axiomatic Approach”, Review of Economic Studies, 52(1): 135-151.
  • Crawford, C. and Freedman, J. (2010), “Small Business Taxation”, in J. Mirrlees, S. Adam, S., T. Bes- ley, R. Blundell, S. Bond, R. Chote, M. Gammie, P. Johnson, G. Myles and J. Poterba (eds.), Dimensions of Tax Design: The Mirrlees Review, London: Institute of Fiscal Studies and Oxford University Press, 1028-1099.
  • Dardanoni, V. and Lambert, P. J. (2001), “Horizontal Inequity Comparisons”, Social Choice and Welfare, 18(4): 799-816.
  • Diamond, P. A. (2007), “Comment on Golosov et al.”, in D. Acemoglu, K. Rogoff and M. Woodford (eds.), NBER Macroeconomics Annual 2006, The MIT Press, 365-379.
  • Díaz-Caro, C., J. Onrubia and Pérez-Mayo, J. (2013), “Progresividad y Redistribución por Fuentes de Renta en el IRPF dual”, Hacienda Pública Española/Review of Public Economics, 206: 57-87.
  • Duclos, J. Y., Jalbert, V. and Araar, A. (2003), “Classical Horizontal Inequity and Reranking: An Integrated Approach”, Research on Economic Inequality, 10: 65-100.
  • Duclos, J. Y. and Lambert, P. J. (2000), “A Normative and Statistical Approach to Measuring Classical Horizontal Inequity”, Canadian Journal of Economics/Revue Canadienne d’Économique, 33(1): 87-113.
  • Eggert, W. and Genser, B. (2005), “Dual Income Taxation in EU Member Countries”, CESifo DICE Report, 3(1): 41-47.
  • Feldstein, M (1976), “On the Theory of Tax Reform”, Journal of Public Economics, 6(1-2): 77-104.
  • Frank, M. J. (1979), “On the Simultaneous Associativity of F(x,y) and x+y−F(x,y)”, Aequationes Mathematicae, 19(1): 194-226.
  • Gallego, C. P., Onrubia, J. and Picos, F. (2012), “Inequidad Horizontal en el IRPF Español, 2003- 2007”, XIX Encuentro de Economía Pública, 26-27 de enero, Santiago de Compostela.
  • Genest, C. and Rivest, L. P. (1993), “Statistical inference procedures for bivariate Archimedean copulas”, Journal of the American Statistical Association, 88(423): 1034-1043.
  • Genser, B. and Reutter, A. (2007), “Moving Towards Dual Income Taxation in Europe”, FinanzArchiv: Public Finance Analysis, 63(3): 436-456.
  • Griffth, R., Hines, J. and Sørensen, P. B. (2010), “International Capital Taxation”, in J. Mirrlees, S. Adam, T. Besley, R. Blundell, S. Bond, R. Chote, M. Gammie, P. Johnson, G. Myles, and J. Poterba (eds.), Dimensions of Tax Design: The Mirrlees Review, London: Institute of Fiscal Studies and Oxford University Press, 914-996.
  • Gumbel, E. J. (1960), “Bivariate Exponential Distributions”, Journal of the American Statistical Association, 55: 698-707.
  • Harju, J., and Matikka, T. (2016), “The elasticity of taxable income and income-shifting: what is ‘real’ and what is not?”, International Tax and Public Finance, 23(4): 640-669.
  • Hofert, M., Kojadinovic, I., Mächler, M. and Yan, J. (2018a). “Copula: Multivariate Dependence with Copulas. R package version 0.999-19” https://CRAN.R-project.org/package=copula
  • Hofert, M., Kojadinovic, I., Mächler, M., Yan J. (2018b), Elements of Copula Modeling with R. Use R! Cham, Switzerland: Springer.
  • Jenkins, S. (1988), “Empirical Measurement of Horizontal Inequality”, Journal of Public Economics, 37(3): 305-329.
  • Jenkins, S. P. and Lambert, P. J. (1999), “Horizontal Inequity Measurement: a Basic Reassessment”, in J. Silber (ed.), Handbook on Income Inequality Measurement, Norwell, MA: Kluwer Academic Publishing, 535-553.
  • Joe, H. (1997), Multivariate models and dependence concepts, New York: Chapman & Hall.
  • Johnson, S. and Mayer, T. (1962), “An Extension of Sidgewick’s Equity Principle”, Quarterly Journal of Economics, 76(3): 454-463.
  • Kaldor, N. (1955), An Expenditure Tax, London: Allen and Unwin.
  • Kaplow, L. (1989), “Horizontal Equity: Measures in Search of a Principle”, National Tax Journal, 42(2): 139-154.
  • Kaplow, L and Shavell, S. (2002), Fairness versus Welfare, Cambridge, MA: Harvard University Press.
  • Kendall, M. (1938), “A New Measure of Rank Correlation”, Biometrika, 30(1-2): 81-93.
  • King, M. (1983), “An Index of Inequality with Applications to Horizontal Equity and Social Mobility”, Econometrica, 51(1): 99-115.
  • Lambert, P. J. (2001), Distribution and Redistribution of Income, 3rd edition, Manchester, UK: Manchester University Press.
  • Lambert, P. J. and Ramos, X. (1997a), “Horizontal Inequity and Reranking: A Review and Simulation Study”, Research on Economic Inequality, 7: 1-18.
  • Lambert, P. J. and Ramos, X. (1997b), “Horizontal Inequity and Vertical Redistribution”, International Tax and Public Finance, 4(1): 25-37.
  • Lambert, P. J. and Thoresen, T. O. (2012), “The Inequality Effects of a Dual Income Tax System”, B. E. Journal of Economic Analysis & Policy – Advances, 12(1): 1-15.
  • Lindsay, I. K. (2016), “Tax Fairness by Convention: A Defense of Horizontal Equity”, Florida Tax Review, 19 (2): 79-119.
  • Lodin, S. O. (1978), Progressive Expenditure Tax, an Alternative? A Report of the 1972 Government Commission on Taxation, Stockholm: LiberFörlag,
  • López-Laborda, J. (2006), “Capital Gains Taxation and Progressivity”, Papeles de Trabajo, 1/06, Instituto de Estudios Fiscales. http://www.ief.es/docs/destacados/publicaciones/papeles_trabajo/2006_01. pdf
  • López-Laborda, J., Vallés, J. and Zárate, A. (2018), “Income Shifting in the Spanish Dual Income Tax”, Fiscal Studies, 39(1): 95-120.
  • Meade Commission (1978), Structure and Reform of Direct Taxation, London: Allen and Unwin.
  • Moreno, M. C. (1996), “Teoría y Medición de la Equidad Horizontal en el Sistema Impositivo”, Hacienda Pública Española, 136: 71-92.
  • Nelsen, R. B. (2003), “Properties and applications of copulas: A brief survey”, in J. Dhaene, N. Kolev, and P. A. Morettin (eds.), Proceedings of the First Brazilian Conference on Statistical Modelling in Insurance and Finance, Sao Paulo (Brazil): University of Sao Paulo, 10-28.
  • Nelsen, R. B. (2006), An introduction to copula, 2nd ed., New York: Springer.
  • Nielsen, S. B. and Sørensen, P. B. (1997), “On the Optimality of the Nordic System of Dual Income Taxation”, Journal of Public Economics, 63(3): 311-329.
  • OECD (2006), “Fundamental reform of personal income tax”, OECD Tax Policy Studies, 13, Paris: OECD Publishing. https://www.oecd-ilibrary.org/docserver/9789264025783-en.pdf?expires=15530 91208&id=id&accname=ocid56028003&checksum=404509AA4A25AFE23BD22A27A3ABC126
  • OECD (2019), “What are equivalence scales?”, Adjusting household incomes: equivalence scales OECD.org Document. http://www.oecd.org/els/soc/OECD-Note-EquivalenceScales.pdf
  • Onrubia, J. and Picos, F. (2012), “Diseño, contenido y aplicaciones del nuevo Panel de Declarantes de IRPF 1999-2007”, Revista de Economía Aplicada, 60: 53-87.
  • Onrubia, J. and Picos, F. (2013), “Desigualdad de la renta y redistribución a través del IRPF, 1999- 2007”, Revista de Economía Aplicada, 63: 75-115.
  • Onrubia, J., F. Picos and C. Pérez (2011), Panel de Declarantes de IRPF 1997-2007: Diseño, metodología y guía de utilización, Madrid: Instituto de Estudios Fiscales.
  • Onrubia, J., Picos, F. and Rodado, M. C. (2014), “Rethinking the Pfähler–Lambert Decomposition to Analyse Real-World Personal Income Taxes”, International Tax and Public Finance, 21(4): 796-812.
  • Pazos M., Rabadán, I. and Salas, R. (1995), “La Desigualdad Horizontal en el Impuesto sobre la Renta de las Personas Físicas”, Revista de Economía Aplicada, 9: 5-20.
  • Pérez, C., Villanueva, J. and Molinero, I. (2018), “Panel de declarantes de IRPF 1999-2014: metodología, estructura y variables (1ª ed.)”, Documento de Trabajo, 5/2018, Instituto de Estudios Fiscales. http://www.ief.es/docs/destacados/publicaciones/documentos_trabajo/2018_05.pdf
  • Perrote, I. (2007), “La Inequidad Horizontal en la Imposición Personal sobre la Renta, 1982-1998”, Información Comercial Española, 837: 71-82.
  • Perrote, I., Rodríguez, J. G. and Salas, R. (2003), “La Inequidad Horizontal y la Redistribución Vertical en el Impuesto sobre la Renta de las Personas Físicas: un Análisis de Robustez”, Hacienda Pública Española/Revista de Economía Pública, 166: 49-60.
  • Pirttilä, J. and Selin, H. (2011), “Income shifting within a dual income tax system: evidence from the Finnish tax reform of 1993”, Scandinavian Journal of Economics, 113(1): 120-44.
  • Plotnick, R. (1981), “A Measure of Horizontal Inequity”, Review of Economics and Statistics, 63(2): 283-288.
  • Schwarz, G. E. (1978), “Estimating the dimension of a model”, Annals of Statistics, 6(2): 461-464.
  • Schweizer, B. and Wolff, E. F. (1981), “On non-parametric measures of dependence for random variables”, Annals of Statistics, 9(4): 879-885.
  • Shoup, C. S. (1969), Public Finance, New York: Aldine Publishing.
  • Simons, H. (1950), Federal Tax Reform, Chicago, IL: University of Chicago Press.
  • Sklar, A. (1959), “Fonctions de répartition à n dimensions et leurs marges”, Publications de l’Institut de Statistique de l’Université de Paris, 8: 229-231.
  • Sklar, A. (1973), “Random Variables, Joint Distributions and Copulas”, Kybernetica, 9(6): 449-460.
  • Sørensen, P. B. (1994), “From the Global Income Tax to the Dual Income Tax: Recent Tax Reforms in the Nordic Countries”, International Tax and Public Finance, 1(1): 57-79.
  • Sørensen, P. B. (1998), “Recent Innovations in Nordic Tax Policy: from the Global Income Tax to the Dual Income Tax”, in P. B. Sørensen (ed.), Tax policy in the Nordic countries, London: MacMillan Press, 1-27.
  • Sørensen, P. B. (2005), “Dual Income Taxation: Why and How?”, FinanzArchiv: Public Finance Analysis, 61(4): 559-586.
  • Spearman, C. (1904), “The proof and measurement of association between two things”, American Journal of Psychology, 15(1): 72-101.
  • Trivedi, P.K. and Zimmer, D. M. (2005), “Copula Modeling: An Introduction for Practitioners”, Foundations and Trends in Econometrics, 1: 1-111.
  • Wang, W. and Wells, M. T. (2000). “Model selection and semiparametric inference for bivariate failuretime data”, Journal of the American Statistical Association, 95(449): 62-72.
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