IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/10701.html
   My bibliography  Save this paper

Equilibrium asset prices and bubbles in a continuous time OLG model

Author

Listed:
  • Brito, Paulo

Abstract

In a Yaari-Blanchard overlapping generations endowment economy, and drawing on the equivalence between Radner (R) and Arrow-Debreu (AD) equi- libria, we prove that equilibrium AD prices have an explicit representation as a double integral equation. This allows for an analytic characterization of the relationship between life-cycle and cohort heterogeneity and asset prices. For a simple distribution, we prove that bubbles may exist, and derive conditions for ruling them out.

Suggested Citation

  • Brito, Paulo, 2008. "Equilibrium asset prices and bubbles in a continuous time OLG model," MPRA Paper 10701, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:10701
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/10701/1/MPRA_paper_10701.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Shell, Karl, 1971. "Notes on the Economics of Infinity," Journal of Political Economy, University of Chicago Press, vol. 79(5), pages 1002-1011, Sept.-Oct.
    2. John Geanakoplos, 2008. "Overlapping Generations Models of General Equilibrium," Levine's Working Paper Archive 122247000000002225, David K. Levine.
    3. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    4. David Cass & Menahem E. Yaari, 1965. "Individual Saving, Aggregate Capital Accumulation, and Efficient Growth," Cowles Foundation Discussion Papers 198, Cowles Foundation for Research in Economics, Yale University.
    5. Brito, Paulo & Dilão, Rui, 2010. "Equilibrium price dynamics in an overlapping-generations exchange economy," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 343-355, May.
    6. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    7. S. Demichelis & H. Polemarchakis, 2007. "The determinacy of equilibrium in economies of overlapping generations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 461-475, September.
    8. Geanakoplos, John D. & Polemarchakis, Heraklis M., 1991. "Overlapping generations," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 35, pages 1899-1960, Elsevier.
    9. John Geanakoplos, 2008. "Overlapping Generations Models of General Equilibrium," Cowles Foundation Discussion Papers 1663, Cowles Foundation for Research in Economics, Yale University.
    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. Brito, Paulo, 2014. "Interest rates and endogenous population growth: joint age-dependent dynamics," MPRA Paper 58656, University Library of Munich, Germany.

    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. Brito, Paulo & Dilão, Rui, 2010. "Equilibrium price dynamics in an overlapping-generations exchange economy," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 343-355, May.
    2. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2015. "Local determinacy of prices in an overlapping generations model with continuous trading," Journal of Mathematical Economics, Elsevier, vol. 58(C), pages 16-24.
    3. Brito, Paulo, 2014. "Interest rates and endogenous population growth: joint age-dependent dynamics," MPRA Paper 58656, University Library of Munich, Germany.
    4. Augeraud-Véron, Emmanuelle & D'Albis, Hippolyte, 2009. "Continuous-Time Overlapping Generations Models," TSE Working Papers 09-047, Toulouse School of Economics (TSE).
    5. Brito Paulo & Marini Giancarlo & Piergallini Alessandro, 2016. "House prices and monetary policy," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 20(3), pages 251-277, June.
    6. John P. Conley & Robert Driskill & Ping Wang, 2019. "Capitalization, decentralization, and intergenerational spillovers in a Tiebout economy with a durable public good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(1), pages 1-27, February.
    7. 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.
    8. Philippe Weil, 2008. "Overlapping Generations: The First Jubilee," Journal of Economic Perspectives, American Economic Association, vol. 22(4), pages 115-134, Fall.
    9. Alogoskoufis, George & Malliaris, A.G. & Stengos, Thanasis, 2023. "The scope and methodology of economic and financial asymmetries," The Journal of Economic Asymmetries, Elsevier, vol. 27(C).
    10. Michau, Jean-Baptiste & Ono, Yoshiyasu & Schlegl, Matthias, 2023. "Wealth preference and rational bubbles," European Economic Review, Elsevier, vol. 156(C).
    11. Hippolyte d'Albis & Emmanuelle Augeraud-véron, 2009. "Competitive Growth In A Life-Cycle Model: Existence And Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(2), pages 459-484, May.
    12. Edmond, Chris, 2008. "An integral equation representation for overlapping generations in continuous time," Journal of Economic Theory, Elsevier, vol. 143(1), pages 596-609, November.
    13. d'Albis, Hippolyte & Decreuse, Bruno, 2009. "Parental altruism, life expectancy and dynamically inefficient equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 33(11), pages 1897-1911, November.
    14. d'Albis, Hippolyte, 2007. "Demographic structure and capital accumulation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 411-434, January.
    15. Jochen Mierau & Stephen Turnovsky, 2014. "Capital accumulation and the sources of demographic change," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(3), pages 857-894, July.
    16. Paul Beaudry & Katsiaryna Kartashova & Césaire A Meh, 2022. "Gazing at r*: A Hysteresis Perspective," RBA Annual Conference Papers acp2022-08, Reserve Bank of Australia, revised Dec 2022.
    17. Ricardo Félix & Gabriela Castro & José Maria & Paulo Júlio, 2013. "Fiscal Multipliers in a Small Euro Area Economy: How Big Can They Get in Crisis Times?," EcoMod2013 5307, EcoMod.
    18. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    19. Nakata, Taisuke & Ogaki, Ryota & Schmidt, Sebastian & Yoo, Paul, 2019. "Attenuating the forward guidance puzzle: Implications for optimal monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 105(C), pages 90-106.
    20. Stelter, Robert, 2014. "Over-aging: Are present human populations too old?," Thuenen-Series of Applied Economic Theory 137, University of Rostock, Institute of Economics.

    More about this item

    Keywords

    overlapping generations; asset pricing; bubbles; integral equations; LambertW function;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

    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:pra:mprapa:10701. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.