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Consumption and bubbles

Author

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  • Loewenstein, Mark
  • Willard, Gregory A.

Abstract

We show that an unbounded number of consumption dates is necessary to support an asset pricing bubble. We work in a continuous-time model where the number of trade dates is infinite but the number of consumption dates is flexible and can be chosen to be uniformly bounded, finite almost surely, or infinite. Market clearing, together with monotone preferences for consumption, limits the properties of bubbles and provides restrictions on wealth constraints. In the special case of a uniformly bounded number of consumption dates, assets in positive net supply cannot have asset pricing bubbles and wealth constraints cannot allow limited arbitrage.

Suggested Citation

  • Loewenstein, Mark & Willard, Gregory A., 2013. "Consumption and bubbles," Journal of Economic Theory, Elsevier, vol. 148(2), pages 563-600.
    • Handle: RePEc:eee:jetheo:v:148:y:2013:i:2:p:563-600
    DOI: 10.1016/j.jet.2012.07.001
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    References listed on IDEAS

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    1. Philip H. Dybvig, Chi-fu Huang, 1988. "Nonnegative Wealth, Absence of Arbitrage, and Feasible Consumption Plans," The Review of Financial Studies, Society for Financial Studies, vol. 1(4), pages 377-401.
    2. Mark Loewenstein & Gregory A. Willard, 2000. "Local martingales, arbitrage, and viability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(1), pages 135-161.
    3. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    4. Magill, Michael & Quinzii, Martine, 1994. "Infinite Horizon Incomplete Markets," Econometrica, Econometric Society, vol. 62(4), pages 853-880, July.
    5. Steven L. Heston & Mark Loewenstein & Gregory A. Willard, 2007. "Options and Bubbles," The Review of Financial Studies, Society for Financial Studies, vol. 20(2), pages 359-390.
    6. Loewenstein, Mark & Willard, Gregory A., 2000. "Rational Equilibrium Asset-Pricing Bubbles in Continuous Trading Models," Journal of Economic Theory, Elsevier, vol. 91(1), pages 17-58, March.
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    Cited by:

    1. Martin Herdegen & Martin Schweizer, 2016. "Strong Bubbles And Strict Local Martingales," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-44, June.
    2. Martin HERDEGEN & Martin SCHWEIZER, 2015. "Economics-Based Financial Bubbles (and Why They Imply Strict Local Martingales)," Swiss Finance Institute Research Paper Series 15-05, Swiss Finance Institute.

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    More about this item

    Keywords

    Bubble; Arbitrage; Wealth constraint; Asset pricing; Market clearing;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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