IDEAS home Printed from https://ideas.repec.org/p/fip/fedmsr/203.html

Some searches may not work properly. We apologize for the inconvenience.

   My bibliography  Save this paper

The optimum quantity of debt

Author

Listed:
  • S. Rao Aiyagari
  • Ellen R. McGrattan

Abstract

We find that the welfare gains to being at the optimum quantity of debt rather than the current U.S. level are small, and, therefore, concerns regarding the high level of debt in the U.S. economy may be misplaced. This finding is based on a model of a large number of infinitely-lived households whose saving behavior is influenced by precautionary saving motives and borrowing constraints. This model incorporates a different role for government debt than is found in standard models, and it captures different cost-benefit trade-offs. On the benefit side, government debt enhances the liquidity of households by providing an additional means of smoothing consumption and by effectively loosening borrowing constraints. On the cost side, the implied taxes have adverse wealth distribution and incentive effects. In addition, government debt crowds out capital via higher interest rates and lowers per capita consumption.

Suggested Citation

  • S. Rao Aiyagari & Ellen R. McGrattan, . "The optimum quantity of debt," Staff Report, Federal Reserve Bank of Minneapolis.
  • Handle: RePEc:fip:fedmsr:203
    as

    Download full text from publisher

    File URL: http://minneapolisfed.org/research/sr/sr203.pdf
    Download Restriction: no

    File URL: http://minneapolisfed.org/research/common/pub_detail.cfm?pb_autonum_id=484
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. S. Rao Aiyagari, 1994. "Macroeconomics with frictions," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 18(Sum), pages 24-40.
    2. 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.
    3. Mehrling, Perry, 1995. "A note on the optimum quantity of money," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 249-258.
    4. Diaz-Gimenez, Javier & Prescott, Edward C. & Fitzgerald, Terry & Alvarez, Fernando, 1992. "Banking in computable general equilibrium economies," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 533-559.
    5. Varian, Hal R., 1980. "Redistributive taxation as social insurance," Journal of Public Economics, Elsevier, vol. 14(1), pages 49-68, August.
    6. Cukierman, Alex & Meltzer, Allan H, 1989. "A Political Theory of Government Debt and Deficits in a Neo-Ricardian Framework," American Economic Review, American Economic Association, vol. 79(4), pages 713-732, September.
    7. Hansen, Gary D & Imrohoroglu, Ayse, 1992. "The Role of Unemployment Insurance in an Economy with Liquidity Constraints and Moral Hazard," Journal of Political Economy, University of Chicago Press, vol. 100(1), pages 118-142, February.
    8. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    9. McGrattan, Ellen R., 1996. "Solving the stochastic growth model with a finite element method," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 19-42.
    10. Bewley, Truman, 1983. "A Difficulty with the Optimum Quantity of Money," Econometrica, Econometric Society, vol. 51(5), pages 1485-1504, September.
    11. Imrohoroglu, Ayse, 1992. "The welfare cost of inflation under imperfect insurance," Journal of Economic Dynamics and Control, Elsevier, vol. 16(1), pages 79-91, January.
    12. Eaton, Jonathan & Rosen, Harvey S., 1980. "Labor supply, uncertainty, and efficient taxation," Journal of Public Economics, Elsevier, vol. 14(3), pages 365-374, December.
    13. Jappelli, Tullio & Pagano, Marco, 1999. "The Welfare Effects of Liquidity Constraints," Oxford Economic Papers, Oxford University Press, vol. 51(3), pages 410-430, July.
    14. Lucas, Robert E, Jr, 1990. "Supply-Side Economics: An Analytical Review," Oxford Economic Papers, Oxford University Press, vol. 42(2), pages 293-316, April.
    15. 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.
    16. Partha Dasgupta & Douglas Gale & Oliver Hart & Eric Maskin (ed.), 1992. "Economic Analysis of Markets and Games: Essays in Honor of Frank Hahn," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262541599, December.
    17. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    18. Laitner, John, 1992. "Random earnings differences, lifetime liquidity constraints, and altruistic intergenerational transfers," Journal of Economic Theory, Elsevier, vol. 58(2), pages 135-170, December.
    19. Chamley, Christophe, 1985. "Efficient Taxation in a Stylized Model of Intertemporal General Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 451-468, June.
    20. repec:bla:econom:v:46:y:1979:i:184:p:403-14 is not listed on IDEAS
    21. Timothy J. Kehoe & David K. Levine & Michael Woodford, 1990. "The optimum quantity of money revisited," Working Papers 404, Federal Reserve Bank of Minneapolis.
    22. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    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. Marvin Goodfriend, 2005. "Narrow money, broad money, and the transmission of monetary policy," Proceedings, Board of Governors of the Federal Reserve System (U.S.), pages 276-303.
    2. James B. Bullard & Steven Russell, 1998. "Monetary steady states in a low real interest rate economy," Working Papers 1994-012, Federal Reserve Bank of St. Louis.
    3. Gale, William G., 2019. "Fiscal policy with high debt and low interest rates," MPRA Paper 99207, University Library of Munich, Germany.
    4. Coelho, José, 2020. "Universal basic income and skill-biased technological change," MPRA Paper 99195, University Library of Munich, Germany, revised 20 Mar 2020.

    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. S. Rao Aiyagari & Ellen R. McGrattan, 2003. "The Optimum Quantity of Debt: Technical Appendix," Annals of Economics and Finance, Society for AEF, vol. 4(1), pages 193-217, May.
    2. Floden, Martin, 2001. "The effectiveness of government debt and transfers as insurance," Journal of Monetary Economics, Elsevier, vol. 48(1), pages 81-108, August.
    3. Hsu, Minchung & Yang, C.C., 2013. "Optimal linear and two-bracket income taxes with idiosyncratic earnings risk," Journal of Public Economics, Elsevier, vol. 105(C), pages 58-71.
    4. Wenli Li & Pierre-Daniel G. Sarte, 2002. "The macroeconomics of U.S. consumer bankruptcy choice : chapter 7 or chapter 13?," Working Paper 02-01, Federal Reserve Bank of Richmond.
    5. Yikai Wang & Hans Holter & Marcus Hagedorn, 2015. "The Optimum Quantity of Capital and Debt," 2015 Meeting Papers 1220, Society for Economic Dynamics.
    6. Viegas, Miguel & Ribeiro, Ana Paula, 2013. "Welfare-improving government behavior and inequality in a heterogeneous agents model," Journal of Macroeconomics, Elsevier, vol. 37(C), pages 146-160.
    7. 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.
    8. Florin Bilbiie & Xavier Ragot, 2021. "Optimal Monetary Policy and Liquidity with Heterogeneous Households," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 71-95, July.
    9. 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.
    10. Marta González-Torrabadella & Josep Pijoan-Mas, 2006. "Flat tax reforms: a general equilibrium evaluation for Spain," Investigaciones Economicas, Fundación SEPI, vol. 30(2), pages 317-351, May.
    11. Jung, Juergen & Tran, Chung, 2022. "Social health insurance: A quantitative exploration," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).
    12. Constantine Angyridis & Brennan Scott Thompson, 2016. "Negative income taxes, inequality and poverty," Canadian Journal of Economics, Canadian Economics Association, vol. 49(3), pages 1016-1034, August.
    13. Edouard Challe & Xavier Ragot, 2010. "Aggregate Consumption in Times of Crisis: The Role of Financial Frictions -super-1," CESifo Economic Studies, CESifo Group, vol. 56(4), pages 627-648, December.
    14. Ana Paula Ribeiro & Miguel Viegas, 2011. "Welfare-improving Government Behaviour and Inequality-Inspection using a Heterogeneous-agents Model," EcoMod2011 3014, EcoMod.
    15. Benhabib, Jess & Bisin, Alberto & Zhu, Shenghao, 2015. "The wealth distribution in Bewley economies with capital income risk," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 489-515.
    16. Swapnil Singh, 2018. "Public insurance of married versus single households in the US: trends and welfare consequences," Bank of Lithuania Working Paper Series 54, Bank of Lithuania.
    17. Aiyagari, S. Rao & Greenwood, Jeremy & Seshadri, Ananth, 2002. "Efficient Investment in Children," Journal of Economic Theory, Elsevier, vol. 102(2), pages 290-321, February.
    18. Shenghao Zhu, 2020. "Existence Of Stationary Equilibrium In An Incomplete‐Market Model With Endogenous Labor Supply," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(3), pages 1115-1138, August.
    19. Li, Wenli, 2002. "Entrepreneurship and government subsidies: A general equilibrium analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 26(11), pages 1815-1844, September.
    20. Césaire Meh, 2002. "Entrepreneurship, Inequality, and Taxation," Staff Working Papers 02-14, Bank of Canada.

    More about this item

    Keywords

    Debt;

    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:fip:fedmsr:203. 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: Kate Hansel (email available below). General contact details of provider: https://edirc.repec.org/data/cfrbmus.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.