IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_8691.html

Endogenous Longevity and Optimal Tax Progressivity

Author

Listed:
  • Burkhard Heer
  • Stefan Rohrbacher

Abstract

We study the impact of endogenous longevity on optimal tax progressivity and inequality in an overlapping generations model with skill heterogeneity. Higher tax progressivity decreases both the longevity gap and net income inequality, but at the expense of lower average lifetime and lower aggregate labor supply and income. We find that the welfare-maximizing income tax is less progressive than in the case of exogenous longevity and that the present US income tax should redistribute less. Our result is robust to the empirically observed range of labor supply elasticity and the assumptions of both missing annuity markets and tax deductibility of private health expenditures.

Suggested Citation

  • Burkhard Heer & Stefan Rohrbacher, 2020. "Endogenous Longevity and Optimal Tax Progressivity," CESifo Working Paper Series 8691, CESifo.
  • Handle: RePEc:ces:ceswps:_8691
    as

    Download full text from publisher

    File URL: https://www.ifo.de/DocDL/cesifo1_wp8691.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jacob Novignon & Solomon Olakojo & Justice Nonvignon, 2012. "The effects of public and private health care expenditure on health status in sub-Saharan Africa: new evidence from panel data analysis," Health Economics Review, Springer, vol. 2(1), pages 1-8, December.
    2. N. Gregory Mankiw & Matthew Weinzierl & Danny Yagan, 2009. "Optimal Taxation in Theory and Practice," Journal of Economic Perspectives, American Economic Association, vol. 23(4), pages 147-174, Fall.
    3. Sharmistha Self & Richard Grabowski, 2003. "How effective is public health expenditure in improving overall health? A cross-country analysis," Applied Economics, Taylor & Francis Journals, vol. 35(7), pages 835-845.
    4. Martin, Stephen & Rice, Nigel & Smith, Peter C., 2008. "Does health care spending improve health outcomes? Evidence from English programme budgeting data," Journal of Health Economics, Elsevier, vol. 27(4), pages 826-842, July.
    5. Mendoza, Enrique G. & Razin, Assaf & Tesar, Linda L., 1994. "Effective tax rates in macroeconomics: Cross-country estimates of tax rates on factor incomes and consumption," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 297-323, December.
    6. Hans A. Holter & Dirk Krueger & Serhiy Stepanchuk, 2019. "How do tax progressivity and household heterogeneity affect Laffer curves?," Quantitative Economics, Econometric Society, vol. 10(4), pages 1317-1356, November.
    7. Cristia, Julian P., 2009. "Rising mortality and life expectancy differentials by lifetime earnings in the United States," Journal of Health Economics, Elsevier, vol. 28(5), pages 984-995, September.
    8. MaCurdy, Thomas E, 1981. "An Empirical Model of Labor Supply in a Life-Cycle Setting," Journal of Political Economy, University of Chicago Press, vol. 89(6), pages 1059-1085, December.
    9. Raj Chetty, 2006. "A New Method of Estimating Risk Aversion," American Economic Review, American Economic Association, vol. 96(5), pages 1821-1834, December.
    10. Josep Pijoan-Mas & José-Víctor Ríos-Rull, 2014. "Heterogeneity in Expected Longevities," Demography, Springer;Population Association of America (PAA), vol. 51(6), pages 2075-2102, December.
    11. Carl-Johan Dalgaard & Holger Strulik, 2014. "Optimal Aging And Death: Understanding The Preston Curve," Journal of the European Economic Association, European Economic Association, vol. 12(3), pages 672-701, June.
    12. David Domeij & Martin Floden, 2006. "The Labor-Supply Elasticity and Borrowing Constraints: Why Estimates are Biased," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 242-262, April.
    13. Grossman, Michael, 1972. "On the Concept of Health Capital and the Demand for Health," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 223-255, March-Apr.
    14. Cutler, David M & Gruber, Jonathan, 1996. "The Effect of Medicaid Expansions on Public Insurance, Private Insurance, and Redistribution," American Economic Review, American Economic Association, vol. 86(2), pages 378-383, May.
    15. Pierre‐Yves Crémieux & Pierre Ouellette & Caroline Pilon, 1999. "Health care spending as determinants of health outcomes," Health Economics, John Wiley & Sons, Ltd., vol. 8(7), pages 627-639, November.
    16. Auerbach, Alan J & Kotlikoff, Laurence J, 1987. "Evaluating Fiscal Policy with a Dynamic Simulation Model," American Economic Review, American Economic Association, vol. 77(2), pages 49-55, May.
    17. Browning, Martin & Hansen, Lars Peter & Heckman, James J., 1999. "Micro data and general equilibrium models," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 8, pages 543-633, Elsevier.
    18. Grossman, Michael, 2000. "The human capital model," Handbook of Health Economics, in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 7, pages 347-408, Elsevier.
    19. Pierre Pestieau & Gregory Ponthiere & Motohiro Sato, 2008. "Longevity, Health Spending, and Pay-as-you-Go Pensions," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 64(1), pages 1-18, March.
    20. Chakraborty, Shankha, 2004. "Endogenous lifetime and economic growth," Journal of Economic Theory, Elsevier, vol. 116(1), pages 119-137, May.
    21. Cristia, Julian P., 2009. "Rising mortality and life expectancy differentials by lifetime earnings in the United States," Journal of Health Economics, Elsevier, vol. 28(5), pages 984-995, September.
    22. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2017. "Optimal Tax Progressivity: An Analytical Framework," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(4), pages 1693-1754.
    23. Conesa, Juan Carlos & Krueger, Dirk, 2006. "On the optimal progressivity of the income tax code," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1425-1450, October.
    24. Juergen Jung & Chung Tran, 2016. "Market Inefficiency, Insurance Mandate and Welfare: U.S. Health Care Reform 2010," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 132-159, April.
    25. Brinca, Pedro & Holter, Hans A. & Krusell, Per & Malafry, Laurence, 2016. "Fiscal multipliers in the 21st century," Journal of Monetary Economics, Elsevier, vol. 77(C), pages 53-69.
    26. Ventura, Gustavo, 1999. "Flat tax reform: A quantitative exploration," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1425-1458, September.
    27. Krueger, Dirk & Ludwig, Alexander, 2016. "On the optimal provision of social insurance: Progressive taxation versus education subsidies in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 77(C), pages 72-98.
    28. Lichtenberg, Frank R., 2004. "Sources of U.S. longevity increase, 1960-2001," The Quarterly Review of Economics and Finance, Elsevier, vol. 44(3), pages 369-389, July.
    29. Jeske, Karsten & Kitao, Sagiri, 2009. "U.S. tax policy and health insurance demand: Can a regressive policy improve welfare?," Journal of Monetary Economics, Elsevier, vol. 56(2), pages 210-221, March.
    30. Javier Diaz-Gimenez & Vincenzo Quadrini & José-Víctor Ríos-Rull & Santiago Budria Rodriguez, 2002. "Updated facts on the U.S. distributions of earnings, income, and wealth," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 26(Sum), pages 2-35.
    31. Robert E. Hall & Charles I. Jones, 2007. "The Value of Life and the Rise in Health Spending," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(1), pages 39-72.
    32. David M. Cutler & Jonathan Gruber, 1996. "Does Public Insurance Crowd out Private Insurance?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(2), pages 391-430.
    33. Sorlie, P.D. & Backlund, E. & Keller, J.B., 1995. "US mortality by economic, demographic, and social characteristics: The National Longitudinal Mortality Study," American Journal of Public Health, American Public Health Association, vol. 85(7), pages 949-956.
    34. Gruber, Jonathan & Simon, Kosali, 2008. "Crowd-out 10 years later: Have recent public insurance expansions crowded out private health insurance?," Journal of Health Economics, Elsevier, vol. 27(2), pages 201-217, March.
    35. Blundell, Richard & Joyce, Robert & Norris Keiller, Agnes & Ziliak, James P., 2018. "Income inequality and the labour market in Britain and the US," Journal of Public Economics, Elsevier, vol. 162(C), pages 48-62.
    36. Badi Baltagi & Francesco Moscone & Elisa Tosetti, 2012. "Medical technology and the production of health care," Empirical Economics, Springer, vol. 42(2), pages 395-411, April.
    37. 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.
    38. Rosen, Sherwin, 1988. "The Value of Changes in Life Expectancy," Journal of Risk and Uncertainty, Springer, vol. 1(3), pages 285-304, September.
    39. Trabandt, Mathias & Uhlig, Harald, 2011. "The Laffer curve revisited," Journal of Monetary Economics, Elsevier, vol. 58(4), pages 305-327.
    40. Edward Wolff & Maury Gittleman, 2014. "Inheritances and the distribution of wealth or whatever happened to the great inheritance boom?," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(4), pages 439-468, December.
    41. Shankha Chakraborty & Mausumi Das, 2005. "Mortality, Human Capital and Persistent Inequality," Journal of Economic Growth, Springer, vol. 10(2), pages 159-192, June.
    42. Heer, Burkhard & Polito, Vito & Wickens, Michael R., 2020. "Population aging, social security and fiscal limits," Journal of Economic Dynamics and Control, Elsevier, vol. 116(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. is not listed on IDEAS
    2. Siew Ling Yew & Jie Zhang, 2025. "Health externalities to labor productivity and optimal policies with endogenous fertility, labor, and longevity," Journal of Population Economics, Springer;European Society for Population Economics, vol. 38(2), pages 1-42, June.
    3. Pablo Garcia Sanchez & Luca Marchiori & Olivier Pierrard, 2024. "Healthy aging and capital accumulation," BCL working papers 189, Central Bank of Luxembourg.
    4. Johan Gustafsson, 2023. "Public pension policy and the equity–efficiency trade‐off," Scandinavian Journal of Economics, Wiley Blackwell, vol. 125(3), pages 717-752, July.
    5. Jung, Juergen & Tran, Chung, 2022. "Social health insurance: A quantitative exploration," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).

    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. Kuhn, Michael & Frankovic, Ivan & Wrzaczek, Stefan, 2017. "Medical Progress, Demand for Health Care, and Economic Performance," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168249, Verein für Socialpolitik / German Economic Association.
    2. Frankovic, Ivan & Kuhn, Michael & Wrzaczek, Stefan, 2016. "Medical care within an OLG economy with realistic demography," ECON WPS - Working Papers in Economic Theory and Policy 02/2016, TU Wien, Institute of Statistics and Mathematical Methods in Economics, Economics Research Unit.
    3. Kuhn, Michael & Prettner, Klaus, 2016. "Growth and welfare effects of health care in knowledge-based economies," Journal of Health Economics, Elsevier, vol. 46(C), pages 100-119.
    4. Kuhn, Michael & Wrzaczek, Stefan & Prskawetz, Alexia & Feichtinger, Gustav, 2015. "Optimal choice of health and retirement in a life-cycle model," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 186-212.
    5. Siew Ling Yew & Jie Zhang, 2025. "Health externalities to labor productivity and optimal policies with endogenous fertility, labor, and longevity," Journal of Population Economics, Springer;European Society for Population Economics, vol. 38(2), pages 1-42, June.
    6. Nezih Guner & Javier López-Segovia & Roberto Ramos, 2020. "Reforming the individual income tax in Spain," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 11(4), pages 369-406, December.
    7. Wu, Chunzan, 2021. "More unequal income but less progressive taxation," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 949-968.
    8. Michael Kuhn & Alexia Prskawetz & Uwe Sunde, 2014. "Health, education, and retirement over the prolonged life cycle: a selective survey of recent research," Vienna Yearbook of Population Research, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna, vol. 12(1), pages 1-22.
    9. Maik T. Schneider & Ralph Winkler, 2021. "Growth and Welfare under Endogenous Lifetimes," Scandinavian Journal of Economics, Wiley Blackwell, vol. 123(4), pages 1339-1384, October.
    10. Jung, Juergen & Tran, Chung & Chambers, Matthew, 2017. "Aging and health financing in the U.S.: A general equilibrium analysis," European Economic Review, Elsevier, vol. 100(C), pages 428-462.
    11. Ana Ferreira, 2020. "Skill-Biased Technological Change and Inequality in the U.S," Notas Económicas, Faculty of Economics, University of Coimbra, issue 51, pages 91-107, December.
    12. Johannes Schuenemann & Holger Strulik & Timo Trimborn, 2020. "The Marriage Gap: Optimal Aging and Death in Partnerships," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 36, pages 158-176, April.
    13. Jung, Juergen & Tran, Chung, 2022. "Social health insurance: A quantitative exploration," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).
    14. Chaoran Chen & Zhigang Feng & Jiaying Gu, 2025. "Health, Health Insurance, And Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 66(1), pages 107-141, February.
    15. Juergen Jung & Chung Tran, 2018. "Optimal Progressive Income Taxation in a Bewley-Grossman Framework," ANU Working Papers in Economics and Econometrics 2018-662, Australian National University, College of Business and Economics, School of Economics.
    16. Chung Tran & Nabeeh Zakariyya, 2023. "Progressive Pension and Optimal Tax Progressivity," ANU Working Papers in Economics and Econometrics 2023-691, Australian National University, College of Business and Economics, School of Economics.
    17. Nóbrega, Valter, 2020. "Optimal Taxation and Investment-Specific Technological Change," MPRA Paper 98917, University Library of Munich, Germany.
    18. Carl-Johan Dalgaard & Holger Strulik, 2017. "The Genesis of the Golden Age: Accounting for the Rise in Health and Leisure," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 24, pages 132-151, March.
    19. Schünemann, Johannes & Strulik, Holger & Trimborn, Timo, 2017. "The gender gap in mortality: How much is explained by behavior?," Journal of Health Economics, Elsevier, vol. 54(C), pages 79-90.
    20. Frankovic, Ivan & Kuhn, Michael, 2018. "Health insurance, endogenous medical progress, and health expenditure growth," ECON WPS - Working Papers in Economic Theory and Policy 01/2018, TU Wien, Institute of Statistics and Mathematical Methods in Economics, Economics Research Unit.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • I14 - Health, Education, and Welfare - - Health - - - Health and Inequality
    • J10 - Labor and Demographic Economics - - Demographic Economics - - - General
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H51 - Public Economics - - National Government Expenditures and Related Policies - - - Government Expenditures and Health
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution

    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:ces:ceswps:_8691. 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: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.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.