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Optimal Fiscal Policy with Heterogeneous Agents and Aggregate Shocks

Author

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  • François Le Grand

    (EM - EMLyon Business School)

  • Xavier Ragot

    (OFCE - Observatoire français des conjonctures économiques (Sciences Po) - Sciences Po - Sciences Po, ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

Abstract

We provide a theory of truncation for incomplete insurance-market economies with aggregate shocks, which is shown to be a consistent representation of standard incomplete-market economies. This representation allows deriving optimal policies with capital and aggregate shock. We apply this framework to an economy where the government can use capital and labor taxes, positive transfers and public debt to smooth aggregate shocks. The average capital tax is shown to be positive if and only if credit constraints are binding for some households. In a quantitative exercise, the capital tax appears to be more volatile than the labor tax and public debt is countercyclical and mean-reverting.

Suggested Citation

  • François Le Grand & Xavier Ragot, 2017. "Optimal Fiscal Policy with Heterogeneous Agents and Aggregate Shocks," SciencePo Working papers Main hal-03458683, HAL.
    • Handle: RePEc:hal:spmain:hal-03458683
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-03458683
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    1. Marcet, Albert & Obiols-Homs, Francesc & Weil, Philippe, 2007. "Incomplete markets, labor supply and capital accumulation," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2621-2635, November.
    2. Edouard Challe & Julien Matheron & Xavier Ragot & Juan F. Rubio‐Ramirez, 2017. "Precautionary saving and aggregate demand," Quantitative Economics, Econometric Society, vol. 8(2), pages 435-478, July.
    3. Constantinides, George M & Duffie, Darrell, 1996. "Asset Pricing with Heterogeneous Consumers," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 219-240, April.
    4. Robert E. Hall, 2010. "Basic Analysis of Forward-Looking Decision Making," Introductory Chapters, in: Forward-Looking Decision Making: Dynamic Programming Models Applied to Health, Risk, Employment, and Financial Stability, Princeton University Press.
    5. Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2015. "Optimal Taxation and Debt with Uninsurable Risks to Human Capital Accumulation," American Economic Review, American Economic Association, vol. 105(11), pages 3443-3470, November.
    6. Julio Dávila & Jay H. Hong & Per Krusell & José‐Víctor Ríos‐Rull, 2012. "Constrained Efficiency in the Neoclassical Growth Model With Uninsurable Idiosyncratic Shocks," Econometrica, Econometric Society, vol. 80(6), pages 2431-2467, November.
    7. Edouard Challe & Xavier Ragot, 2016. "Precautionary Saving Over the Business Cycle," Economic Journal, Royal Economic Society, vol. 126(590), pages 135-164, February.
    8. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
    9. Chari, V.V. & Kehoe, Patrick J., 1999. "Optimal fiscal and monetary policy," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 26, pages 1671-1745, Elsevier.
    10. Kubler, Felix & Schmedders, Karl, 2002. "Recursive Equilibria In Economies With Incomplete Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 6(2), pages 284-306, April.
    11. Fernando Alvarez & Andrew Atkeson & Chris Edmond, 2009. "Sluggish Responses of Prices and Inflation to Monetary Shocks in an Inventory Model of Money Demand," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(3), pages 911-967.
    12. Bewley, Truman, 1983. "A Difficulty with the Optimum Quantity of Money," Econometrica, Econometric Society, vol. 51(5), pages 1485-1504, September.
    13. repec:hal:wpspec:info:hdl:2441/8623 is not listed on IDEAS
    14. Krusell, Per & Smith, Anthony A., 1997. "Income And Wealth Heterogeneity, Portfolio Choice, And Equilibrium Asset Returns," Macroeconomic Dynamics, Cambridge University Press, vol. 1(2), pages 387-422, June.
    15. Albert Marcet & Ramon Marimon, 2019. "Recursive Contracts," Econometrica, Econometric Society, vol. 87(5), pages 1589-1631, September.
    16. Sebastian Dyrda & Marcelo Pedroni, 2015. "Optimal Fiscal Policy in a Model with Uninsurable Idiosyncratic Shocks," Working Papers tecipa-550, University of Toronto, Department of Economics.
    17. Jonathan Heathcote, 2005. "Fiscal Policy with Heterogeneous Agents and Incomplete Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(1), pages 161-188.
    18. Miao, Jianjun, 2006. "Competitive equilibria of economies with a continuum of consumers and aggregate shocks," Journal of Economic Theory, Elsevier, vol. 128(1), pages 274-298, May.
    19. Aiyagari, S. Rao & McGrattan, Ellen R., 1998. "The optimum quantity of debt," Journal of Monetary Economics, Elsevier, vol. 42(3), pages 447-469, October.
    20. Kim, Sunghyun Henry & Kollmann, Robert & Kim, Jinill, 2010. "Solving the incomplete market model with aggregate uncertainty using a perturbation method," Journal of Economic Dynamics and Control, Elsevier, vol. 34(1), pages 50-58, January.
    21. Bassetto, Marco & Kocherlakota, Narayana, 2004. "On the irrelevance of government debt when taxes are distortionary," Journal of Monetary Economics, Elsevier, vol. 51(2), pages 299-304, March.
    22. Iván Werning, 2007. "Optimal Fiscal Policy with Redistribution," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(3), pages 925-967.
    23. Emmanuel Farhi, 2013. "Insurance and Taxation over the Life Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 596-635.
    24. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    25. Isabel Correia, 2010. "Consumption Taxes and Redistribution," American Economic Review, American Economic Association, vol. 100(4), pages 1673-1694, September.
    26. Reiter, Michael, 2009. "Solving heterogeneous-agent models by projection and perturbation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 649-665, March.
    27. Woodford, Michael, 1990. "Public Debt as Private Liquidity," American Economic Review, American Economic Association, vol. 80(2), pages 382-388, May.
    28. Barro, Robert J, 1979. "On the Determination of the Public Debt," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 940-971, October.
    29. Krusell, Per & Mukoyama, Toshihiko & Smith Jr., Anthony A., 2011. "Asset prices in a Huggett economy," Journal of Economic Theory, Elsevier, vol. 146(3), pages 812-844, May.
    30. François Grand & Xavier Ragot, 2016. "Incomplete markets and derivative assets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(3), pages 517-545, August.
    31. Greg Kaplan & Giovanni L. Violante, 2014. "A Model of the Consumption Response to Fiscal Stimulus Payments," Econometrica, Econometric Society, vol. 82(4), pages 1199-1239, July.
    32. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    33. Juan Carlos Conesa & Sagiri Kitao & Dirk Krueger, 2009. "Taxing Capital? Not a Bad Idea after All!," American Economic Review, American Economic Association, vol. 99(1), pages 25-48, March.
    34. Golosov, M. & Tsyvinski, A. & Werquin, N., 2016. "Recursive Contracts and Endogenously Incomplete Markets," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 725-841, Elsevier.
    35. Ljungqvist, Lars & Sargent, Thomas J., 2012. "Recursive Macroeconomic Theory, Third Edition," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262018748, April.
    36. Azzimonti, Marina & Yared, Pierre, 2017. "A note on optimal fiscal policy in an economy with private borrowing limits," Economics Letters, Elsevier, vol. 151(C), pages 62-65.
    37. Mikhail Golosov & Aleh Tsyvinski, 2007. "Optimal Taxation with Endogenous Insurance Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(2), pages 487-534.
    38. Aubhik Khan & Julia Thomas, 2015. "Revisiting the Tale of Two Interest Rates with Endogenous Market Segmentation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(2), pages 243-268, April.
    39. repec:hal:pseose:halshs-01313771 is not listed on IDEAS
    40. Bruce Preston & Mauro Roca, 2007. "Incomplete Markets, Heterogeneity and Macroeconomic Dynamics," NBER Working Papers 13260, National Bureau of Economic Research, Inc.
    41. Raj Chetty & Adam Guren & Day Manoli & Andrea Weber, 2011. "Are Micro and Macro Labor Supply Elasticities Consistent? A Review of Evidence on the Intensive and Extensive Margins," American Economic Review, American Economic Association, vol. 101(3), pages 471-475, May.
    42. Hopenhayn, Hugo A & Prescott, Edward C, 1992. "Stochastic Monotonicity and Stationary Distributions for Dynamic Economies," Econometrica, Econometric Society, vol. 60(6), pages 1387-1406, November.
    43. repec:hal:spmain:info:hdl:2441/8623 is not listed on IDEAS
    44. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    45. David Domeij & Jonathan Heathcote, 2004. "On The Distributional Effects Of Reducing Capital Taxes," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 523-554, May.
    46. Emmanuel Farhi, 2010. "Capital Taxation and Ownership When Markets Are Incomplete," Journal of Political Economy, University of Chicago Press, vol. 118(5), pages 908-948.
    47. J. B. Taylor & Harald Uhlig (ed.), 2016. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 2, number 2.
    48. Ravn, Morten O. & Sterk, Vincent, 2017. "Job uncertainty and deep recessions," Journal of Monetary Economics, Elsevier, vol. 90(C), pages 125-141.
    49. S. Rao Aiyagari & Albert Marcet & Thomas J. Sargent & Juha Seppala, 2002. "Optimal Taxation without State-Contingent Debt," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1220-1254, December.
    50. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    51. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    52. Ludwig Straub & Iván Werning, 2020. "Positive Long-Run Capital Taxation: Chamley-Judd Revisited," American Economic Review, American Economic Association, vol. 110(1), pages 86-119, January.
    53. Lucas, Robert E, Jr, 1975. "An Equilibrium Model of the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 83(6), pages 1113-1144, December.
    54. repec:hal:spmain:info:hdl:2441/54k1p7hdq38odb1k39k1rdm8di is not listed on IDEAS
    55. Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February.
    56. Golec, Pascal & Perotti, Enrico, 2017. "Safe assets: a review," Working Paper Series 2035, European Central Bank.
    57. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
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    Cited by:

    1. Ivens, Annika, 2018. "Optimal fiscal policy under private debt deleveraging," Journal of Economic Dynamics and Control, Elsevier, vol. 97(C), pages 1-18.
    2. xavier Ragot & Francois Le Grand, 2018. "Sovereign Default and Liquidity: The Case for a World Safe," 2018 Meeting Papers 889, Society for Economic Dynamics.
    3. Le Grand, François & Ragot, Xavier, 2021. "Sovereign default and liquidity: The case for a world safe asset," Journal of International Economics, Elsevier, vol. 131(C).
    4. Yikai Wang & Hans Holter & Marcus Hagedorn, 2015. "The Optimum Quantity of Capital and Debt," 2015 Meeting Papers 1220, Society for Economic Dynamics.
    5. Wei Cui & Vincent Sterk, 2018. "Quantitative Easing," Discussion Papers 1830, Centre for Macroeconomics (CFM).
    6. François Le Grand & Xavier Ragot, 2022. "Managing Inequality Over Business Cycles: Optimal Policies With Heterogeneous Agents And Aggregate Shocks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(1), pages 511-540, February.
    7. repec:hal:spmain:info:hdl:2441/3jhmd4ib388m99gnolvi8klga2 is not listed on IDEAS
    8. YiLi Chien & Yi Wen, 2022. "Optimal Ramsey Taxation in Heterogeneous Agent Economies with Quasi-Linear Preferences," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 46, pages 124-160, October.
    9. Brand, Claus & Obstbaum, Meri & Coenen, Günter & Sondermann, David & Lydon, Reamonn & Ajevskis, Viktors & Hammermann, Felix & Angino, Siria & Hernborg, Nils & Basso, Henrique & Hertweck, Matthias & Bi, 2021. "Employment and the conduct of monetary policy in the euro area," Occasional Paper Series 275, European Central Bank.
    10. repec:spo:wpmain:info:hdl:2441/3jhmd4ib388m99gnolvi8klga2 is not listed on IDEAS
    11. YiLi Chien & Yi Wen, 2019. "Don't Tax Capital---Optimal Ramsey Taxation in Heterogeneous Agent Economies with Quasi-Linear Preferences," 2019 Meeting Papers 258, Society for Economic Dynamics.
    12. Clemens, Marius & Eydam, Ulrich & Heinemann, Maik, 2023. "Inequality over the business cycle: the role of distributive shocks," Macroeconomic Dynamics, Cambridge University Press, vol. 27(3), pages 571-600, April.
    13. Boris Chafwehé & François Courtoy, 2021. "Optimal Taxes and Transfers with Household Heterogeneity," LIDAM Discussion Papers IRES 2021009, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    14. repec:spo:wpecon:info:hdl:2441/3jhmd4ib388m99gnolvi8klga2 is not listed on IDEAS
    15. repec:hal:wpspec:info:hdl:2441/3jhmd4ib388m99gnolvi8klga2 is not listed on IDEAS
    16. Cui, Wei & Sterk, Vincent, 2021. "Quantitative easing with heterogeneous agents," Journal of Monetary Economics, Elsevier, vol. 123(C), pages 68-90.

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    More about this item

    Keywords

    Incomplete markets; Optimal policy; Public debt;
    All these keywords.

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution

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