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How to Use One Instrument to Identify Two Elasticities

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  • Evelina Gavrilova
  • Floris Zoutman
  • Arnt Ove Hopland

Abstract

We show that an insight from taxation theory allows identification of both the supply and demand elasticities with only one instrument. Ramsey (1928) and subsequent models of taxation assume that a tax levied on the demand side only affects demand through the price after taxation. Econometrically, we show that this assumption functions as an additional exclusion restriction. Under the Ramsey Exclusion Restriction (RER) a tax reform can serve to simultaneously identify elasticities of supply and demand. We develop a TSLS estimator for both elasticities, a test to assess instrument strength and a test for the RER. Our result extends to a supply-demand system with J goods, and a setting with supply-side or non-linear taxes. Further, we show that key results in the sufficient statistics literature rely on the RER. One example is Harberger’s formula for the excess burden of a tax. We apply our method to the Norwegian labor market.

Suggested Citation

  • Evelina Gavrilova & Floris Zoutman & Arnt Ove Hopland, 2017. "How to Use One Instrument to Identify Two Elasticities," CESifo Working Paper Series 6379, CESifo.
    • Handle: RePEc:ces:ceswps:_6379
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    1. Lehmann, Etienne & Marical, François & Rioux, Laurence, 2013. "Labor income responds differently to income-tax and payroll-tax reforms," Journal of Public Economics, Elsevier, vol. 99(C), pages 66-84.
    2. Richard Blundell & Alan Duncan & Costas Meghir, 1998. "Estimating Labor Supply Responses Using Tax Reforms," Econometrica, Econometric Society, vol. 66(4), pages 827-862, July.
    3. Philipp Doerrenberg & Andreas Peichl & Sebastian Siegloch, 2017. "The Elasticity of Taxable Income in the Presence of Deduction Possibilities," NBER Chapters, in: Personal Income Taxation and Household Behavior (TAPES), National Bureau of Economic Research, Inc.
    4. Martin Feldstein, 1999. "Tax Avoidance And The Deadweight Loss Of The Income Tax," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 674-680, November.
    5. Arngrim Hunnes & Jarle Møen & Kjell G. Salvanes, 2009. "Wage Structure and Labor Mobility in Norway, 1980-97," NBER Chapters, in: The Structure of Wages: An International Comparison, pages 315-372, National Bureau of Economic Research, Inc.
    6. Gruber, Jon & Saez, Emmanuel, 2002. "The elasticity of taxable income: evidence and implications," Journal of Public Economics, Elsevier, vol. 84(1), pages 1-32, April.
    7. Sanderson, Eleanor & Windmeijer, Frank, 2016. "A weak instrument F-test in linear IV models with multiple endogenous variables," Journal of Econometrics, Elsevier, vol. 190(2), pages 212-221.
    8. Gruber, Jonathan, 1997. "The Incidence of Payroll Taxation: Evidence from Chile," Journal of Labor Economics, University of Chicago Press, vol. 15(3), pages 72-101, July.
    9. Nada Eissa, 1995. "Taxation and Labor Supply of Married Women: The Tax Reform Act of 1986 as a Natural Experiment," NBER Working Papers 5023, National Bureau of Economic Research, Inc.
    10. repec:bla:scandj:v:100:y:1998:i:4:p:711-31 is not listed on IDEAS
    11. Jesse Rothstein, 2008. "The Unintended Consequences of Encouraging Work: Tax Incidence and the EITC," Working Papers 1049, Princeton University, Department of Economics, Center for Economic Policy Studies..
    12. Raj Chetty & Adam Looney & Kory Kroft, 2009. "Salience and Taxation: Theory and Evidence," American Economic Review, American Economic Association, vol. 99(4), pages 1145-1177, September.
    13. Jesse Rothstein, 2010. "Is the EITC as Good as an NIT? Conditional Cash Transfers and Tax Incidence," American Economic Journal: Economic Policy, American Economic Association, vol. 2(1), pages 177-208, February.
    14. Weber, Caroline E., 2014. "Toward obtaining a consistent estimate of the elasticity of taxable income using difference-in-differences," Journal of Public Economics, Elsevier, vol. 117(C), pages 90-103.
    15. Gruber, Jonathan, 1994. "The Incidence of Mandated Maternity Benefits," American Economic Review, American Economic Association, vol. 84(3), pages 622-641, June.
    16. Kramarz, Francis & Philippon, Thomas, 2001. "The impact of differential payroll tax subsidies on minimum wage employment," Journal of Public Economics, Elsevier, vol. 82(1), pages 115-146, October.
    17. Michael Carlos Best & Henrik Jacobsen Kleven, 2018. "Housing Market Responses to Transaction Taxes: Evidence From Notches and Stimulus in the U.K," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 157-193.
    18. Carlsen, Fredrik & Johansen, Kare, 2005. "Regional wages and subjective measures of employment opportunities," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 34(3), pages 377-400, May.
    19. Emmanuel Saez, 2010. "Do Taxpayers Bunch at Kink Points?," American Economic Journal: Economic Policy, American Economic Association, vol. 2(3), pages 180-212, August.
    20. Henrik Jacobsen Kleven & Esben Anton Schultz, 2014. "Estimating Taxable Income Responses Using Danish Tax Reforms," American Economic Journal: Economic Policy, American Economic Association, vol. 6(4), pages 271-301, November.
    21. Bennmarker, Helge & Mellander, Erik & Öckert, Björn, 2009. "Do regional payroll tax reductions boost employment?," Labour Economics, Elsevier, vol. 16(5), pages 480-489, October.
    22. Frode Johansen & Tor Jacob Klette, 1997. "Wage and Employment Effects of Payroll Taxes and Investment Subsidies," Discussion Papers 194, Statistics Norway, Research Department.
    23. Steinar Holden, 1998. "Wage Drift and the Relevance of Centralised Wage Setting," Scandinavian Journal of Economics, Wiley Blackwell, vol. 100(4), pages 711-731, December.
    24. Emmanuel Saez & Manos Matsaganis & Panos Tsakloglou, 2012. "Earnings Determination and Taxes: Evidence From a Cohort-Based Payroll Tax Reform in Greece," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(1), pages 493-533.
    25. Michael P. Keane, 2011. "Labor Supply and Taxes: A Survey," Journal of Economic Literature, American Economic Association, vol. 49(4), pages 961-1075, December.
    26. Emmanuel Saez, 2001. "Using Elasticities to Derive Optimal Income Tax Rates," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(1), pages 205-229.
    27. Feldstein, Martin, 1995. "The Effect of Marginal Tax Rates on Taxable Income: A Panel Study of the 1986 Tax Reform Act," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 551-572, June.
    28. Kleven, Henrik Jacobsen & Schultz, Esben Anton, 2014. "Estimating taxable income responses using Danish tax reforms," LSE Research Online Documents on Economics 66122, London School of Economics and Political Science, LSE Library.
    29. Jonathan Gruber & Botond Köszegi, 2001. "Is Addiction "Rational"? Theory and Evidence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(4), pages 1261-1303.
    30. Alexander M. Gelber, 2014. "Taxation and the Earnings of Husbands and Wives: Evidence from Sweden," The Review of Economics and Statistics, MIT Press, vol. 96(2), pages 287-305, May.
    31. Diamond, Peter A & Mirrlees, James A, 1971. "Optimal Taxation and Public Production II: Tax Rules," American Economic Review, American Economic Association, vol. 61(3), pages 261-278, June.
    32. Diamond, Peter A & Mirrlees, James A, 1971. "Optimal Taxation and Public Production: I--Production Efficiency," American Economic Review, American Economic Association, vol. 61(1), pages 8-27, March.
    33. Egebark, Johan & Kaunitz, Niklas, 2013. "Do payroll tax cuts raise youth employment?," Working Paper Series 2013:27, IFAU - Institute for Evaluation of Labour Market and Education Policy.
    34. Kopczuk, Wojciech, 2005. "Tax bases, tax rates and the elasticity of reported income," Journal of Public Economics, Elsevier, vol. 89(11-12), pages 2093-2119, December.
    35. Murphy, Kevin J., 2007. "The impact of unemployment insurance taxes on wages," Labour Economics, Elsevier, vol. 14(3), pages 457-484, June.
    36. Feldstein, Martin, 1995. "The Effect of Marginal Tax Rates on Taxable Income: A Panel Study of the 1986 Tax Reform Act," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 551-572, June.
    37. Richard J. Butler, 1982. "Estimating Wage Discrimination in the Labor Market," Journal of Human Resources, University of Wisconsin Press, vol. 17(4), pages 620-621.
    38. Blomquist, N. Soren, 1983. "The effect of income taxation on the labor supply of married men in Sweden," Journal of Public Economics, Elsevier, vol. 22(2), pages 169-197, November.
    39. Kåre Johansen, 2002. "Regional Wage Curves Empirical Evidence from Norway," Working Paper Series 0302, Department of Economics, Norwegian University of Science and Technology.
    40. Ossi Korkeamäki & Roope Uusitalo, 2009. "Employment and wage effects of a payroll-tax cut—evidence from a regional experiment," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 16(6), pages 753-772, December.
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    Cited by:

    1. Hildegunn E. Stokke, 2021. "Regional payroll tax cuts and individual wages: heterogeneous effects of worker ability and firm productivity," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 28(6), pages 1360-1384, December.

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    More about this item

    Keywords

    tax reform; instrumental variable; supply and demand elasticities; tax incidence; payroll taxation;
    All these keywords.

    JEL classification:

    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation
    • H22 - Public Economics - - Taxation, Subsidies, and Revenue - - - Incidence
    • H31 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Household
    • H32 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Firm
    • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply
    • J23 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Labor Demand

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