IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v221y2022ics016517652200372x.html
   My bibliography  Save this article

A tractable overlapping generations structure for quantitative DSGE models

Author

Listed:
  • Kollmann, Robert

Abstract

This paper develops a novel tractable overlapping generations (OLG) structure whose aggregate equations resemble a model of an infinitely lived representative agent, except that there are no aggregate transversality conditions in the OLG economy. The main assumptions are complete markets and time-invariant (but age-dependent) consumption shares of age-groups. The tractability of the OLG structure here distinguishes it from conventional OLG models — the present structure is suitable for quantitative dynamic stochastic general equilibrium (DSGE) macro models. Importantly, the OLG structure here maintains key predictions of standard OLG models, namely the possibility of low real interest rates and of equilibrium indeterminacy.

Suggested Citation

  • Kollmann, Robert, 2022. "A tractable overlapping generations structure for quantitative DSGE models," Economics Letters, Elsevier, vol. 221(C).
    • Handle: RePEc:eee:ecolet:v:221:y:2022:i:c:s016517652200372x
    DOI: 10.1016/j.econlet.2022.110898
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S016517652200372X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2022.110898?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Michael B. Devereux, 2011. "Fiscal Deficits, Debt, and Monetary Policy in a Liquidity Trap," Central Banking, Analysis, and Economic Policies Book Series, in: Luis Felipe Céspedes & Roberto Chang & Diego Saravia (ed.),Monetary Policy under Financial Turbulence, edition 1, volume 16, chapter 10, pages 369-410, Central Bank of Chile.
    2. Hippolyte d'Albis & Carole Bonnet & Xavier Chojnicki & Najat El Mekkaoui & Angela Greulich & Jérôme Hubert & Julien Navaux, 2019. "Financing the Consumption of the Young and Old in France," Population and Development Review, The Population Council, Inc., vol. 45(1), pages 103-132, March.
    3. Robert Kollmann, 2021. "Liquidity traps in a monetary union," Oxford Economic Papers, Oxford University Press, vol. 73(4), pages 1581-1603.
    4. Makoto Saito, 2001. "An Empirical Investigation of Intergenerational Consumption Distribution: A Comparison among Japan, the United States, and the United Kingdom," NBER Chapters, in: Aging Issues in the United States and Japan, pages 135-168, National Bureau of Economic Research, Inc.
    5. Philippe Weil, 2008. "Overlapping Generations: The First Jubilee," Journal of Economic Perspectives, American Economic Association, vol. 22(4), pages 115-134, Fall.
    6. Albonico, Alice & Ascari, Guido & Gobbi, Alessandro, 2021. "The public debt multiplier," Journal of Economic Dynamics and Control, Elsevier, vol. 132(C).
    7. Carvalho, Carlos & Ferrero, Andrea & Nechio, Fernanda, 2016. "Demographics and real interest rates: Inspecting the mechanism," European Economic Review, Elsevier, vol. 88(C), pages 208-226.
    8. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    9. J. B. Taylor & Harald Uhlig (ed.), 2016. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 2, number 2.
    10. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    11. King, Robert G. & Rebelo, Sergio T., 1999. "Resuscitating real business cycles," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 14, pages 927-1007, Elsevier.
    12. repec:hal:wpspec:info:hdl:2441/8712 is not listed on IDEAS
    13. Papetti, Andrea, 2021. "Demographics and the natural real interest Rate: historical and projected paths for the euro area," Journal of Economic Dynamics and Control, Elsevier, vol. 132(C).
    14. Kollmann, Robert, 2021. "Liquidity traps in a world economy," Journal of Economic Dynamics and Control, Elsevier, vol. 132(C).
    15. Martin S. Eichenbaum & Lars Peter Hansen & Kenneth J. Singleton, 1988. "A Time Series Analysis of Representative Agent Models of Consumption and Leisure Choice Under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(1), pages 51-78.
    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. Wieland, V. & Afanasyeva, E. & Kuete, M. & Yoo, J., 2016. "New Methods for Macro-Financial Model Comparison and Policy Analysis," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1241-1319, Elsevier.
    18. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    19. repec:hal:spmain:info:hdl:2441/8712 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    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. Ruppert, Kilian & Stähler, Nikolai, 2020. "Household savings, capital investments and public policies: What drives the German current account?," Discussion Papers 41/2020, Deutsche Bundesbank.
    2. Ruppert, Kilian & Stähler, Nikolai, 2022. "What drives the German current account? Household savings, capital investments and public policies," Economic Modelling, Elsevier, vol. 108(C).
    3. Stähler, Nikolai, 2021. "The Impact of Aging and Automation on the Macroeconomy and Inequality," Journal of Macroeconomics, Elsevier, vol. 67(C).
    4. Hua Chai & Mr. Jun I Kim, 2018. "Demographics, Pension Systems and the Saving-Investment Balance," IMF Working Papers 2018/265, International Monetary Fund.
    5. Dramane Coulibaly & Blaise Gnimassoun & Valérie Mignon, 2018. "The tale of two international phenomena: International migration and global imbalances," Working Papers 2018-02, CEPII research center.
    6. Mr. Roger Farmer & Pawel Zabczyk, 2019. "A Requiem for the Fiscal Theory of the Price Level," IMF Working Papers 2019/219, International Monetary Fund.
    7. Brunnermeier, Markus & Merkel, Sebastian & Sannikov, Yuliy, 2020. "The Fiscal Theory of the Price Level with a Bubble," CEPR Discussion Papers 14680, C.E.P.R. Discussion Papers.
    8. Jacopo Bonchi & Giacomo Caracciolo, 2021. "Declining natural interest rate in the US: the pension system matters," Temi di discussione (Economic working papers) 1317, Bank of Italy, Economic Research and International Relations Area.
    9. Erceg, Christopher J. & Jakab, Zoltan & Lindé, Jesper, 2021. "Monetary policy strategies for the European Central Bank," Journal of Economic Dynamics and Control, Elsevier, vol. 132(C).
    10. Leland Farmer & Roger Farmer, 2022. "Zoomers and Boomers: Asset Prices and Intergenerational Inequality," NBER Working Papers 30419, National Bureau of Economic Research, Inc.
    11. Lucas Fuhrer & Nils Herger, 2022. "Real interest rates and population growth across generations," Working Papers 22.04, Swiss National Bank, Study Center Gerzensee.
    12. Dennis Wesselbaum, 2020. "Procyclical Debt as Automatic Stabilizer," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 18(1), pages 81-102, March.
    13. Robert Kollmann, 2021. "Effects of Covid-19 on Euro area GDP and inflation: demand vs. supply disturbances," International Economics and Economic Policy, Springer, vol. 18(3), pages 475-492, July.
    14. Michele Catalano & Emilia Pezzolla, 2022. "Global natural projections," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 49(4), pages 949-990, November.
    15. Kollmann, Robert, 2021. "Liquidity traps in a world economy," Journal of Economic Dynamics and Control, Elsevier, vol. 132(C).
    16. Fadejeva, Ludmila & Kantur, Zeynep, 2023. "Wealth distribution and monetary policy," Economic Modelling, Elsevier, vol. 125(C).
    17. Roger E.A. Farmer & Pawel Zabczyk, 2019. "Monetary and Fiscal Policy When People Have Finite Lives," NBER Working Papers 25445, National Bureau of Economic Research, Inc.
    18. Schön, Matthias, 2019. "Demographic change and the German current account surplus," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203527, Verein für Socialpolitik / German Economic Association.
    19. Mr. Tim Callen & Warwick J. McKibbin & Nicoletta Batini, 2006. "The Global Impact of Demographic Change," IMF Working Papers 2006/009, International Monetary Fund.
    20. Jordi Galí, 2021. "Monetary Policy and Bubbles in a New Keynesian Model with Overlapping Generations," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(2), pages 121-167, April.

    More about this item

    Keywords

    Overlapping generations; DSGE models;

    JEL classification:

    • E1 - Macroeconomics and Monetary Economics - - General Aggregative Models
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

    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:eee:ecolet:v:221:y:2022:i:c:s016517652200372x. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.