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Debt, deficits and finite horizons: the stochastic case

Author

Listed:
  • Roger E.A. Farmer

    (Department of Economics [Los Angeles] - UCLA - University of California [Los Angeles] - UC - University of California)

  • Carine Nourry

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Alain Venditti

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

We introduce aggregate uncertainty and complete markets into Blanchard's (1985) perpetual youth model. We show how to construct a simple formula for the pricing kernel in terms of observable aggregate variables. We study a pure trade version of our model and we show it behaves much like the two-period overlapping generations model. Our methods are easily generalized to economies with production and they should prove useful to researchers who seek a tractable stochastic model in which fiscal policy has real effects on aggregate allocations.

Suggested Citation

  • Roger E.A. Farmer & Carine Nourry & Alain Venditti, 2009. "Debt, deficits and finite horizons: the stochastic case," Working Papers halshs-00439336, HAL.
  • Handle: RePEc:hal:wpaper:halshs-00439336
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00439336v1
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    Citations

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    Cited by:

    1. Marco Airaudo & Salvatore Nisticò & Luis‐Felipe Zanna, 2015. "Learning, Monetary Policy, and Asset Prices," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 47(7), pages 1273-1307, October.
    2. Hippolyte d'Albis & Emmanuelle Augeraud-Véron, 2013. "Frequency of trade and the determinacy of equilibrium in economies of overlapping generations," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 85-100, March.
    3. Jean-Philippe Bouchaud & Roger E. A. Farmer, 2023. "Self-Fulfilling Prophecies, Quasi Nonergodicity, and Wealth Inequality," Journal of Political Economy, University of Chicago Press, vol. 131(4), pages 947-993.
    4. Roger E.A. Farmer & Carine Nourry & Alain Venditti, 2012. "The Inefficient Markets Hypothesis: Why Financial Markets Do Not Work Well in the Real World," NBER Working Papers 18647, National Bureau of Economic Research, Inc.
    5. Farmer, Roger, 2016. "Pricing Assets in an Economy with Two Types of People," CEPR Discussion Papers 11253, C.E.P.R. Discussion Papers.
    6. Roger E. A. Farmer, 2018. "Pricing Assets in a Perpetual Youth Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 30, pages 106-124, October.
    7. Richter, Alexander W., 2015. "Finite lifetimes, long-term debt and the fiscal limit," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 180-203.
    8. Farmer, Roger, 2015. "Global Sunspots and Asset Prices in a Monetary Economy," CEPR Discussion Papers 10402, C.E.P.R. Discussion Papers.
    9. Farmer, Roger & Farmer, Leland, 2022. "Zoomers and Boomers: Asset Prices and Intergenerational Inequality," CEPR Discussion Papers 17594, C.E.P.R. Discussion Papers.
    10. Takahashi, Yuta & Takayama, Naoki, 2025. "A parsimonious model for zero inflation at the zero lower bound," Economics Letters, Elsevier, vol. 247(C).
    11. Roger Farmer & Jean-Philippe Bouchaud, 2020. "Self-Fulfilling Prophecies, Quasi Non-Ergodicity & Wealth Inequality," NBER Working Papers 28261, National Bureau of Economic Research, Inc.
    12. Farmer, Roger E.A. & Platonov, Konstantin, 2019. "Animal spirits in a monetary model," European Economic Review, Elsevier, vol. 115(C), pages 60-77.

    More about this item

    Keywords

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    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • E0 - Macroeconomics and Monetary Economics - - General
    • E6 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook

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