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Necessity of Rational Asset Price Bubbles in Two Sector Growth Economies

Author

Listed:
  • Tomohiro HIRANO
  • Ryo Jinnai
  • Alexis Akira Toda

Abstract

We present plausible economic models in which an equilibrium with rational asset price bubbles exists but equilibria with asset prices equal to fundamental values do not. These economies feature multiple sectors with faster economic growth than dividend growth. In our two-sector endogenous growth model, entrepreneurs have access to a production technology subject to idiosyncratic investment risk (tech sector) and trade a dividend-paying asset (land). When leverage is relaxed beyond a critical value, the unique trend stationary equilibrium exhibits a phase transition from the fundamental regime to the bubbly regime with growth, implying the inevitability of bubbles with loose financial conditions.

Suggested Citation

  • Tomohiro HIRANO & Ryo Jinnai & Alexis Akira Toda, 2023. "Necessity of Rational Asset Price Bubbles in Two Sector Growth Economies," CIGS Working Paper Series 23-002E, The Canon Institute for Global Studies.
  • Handle: RePEc:cnn:wpaper:23-002e
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    References listed on IDEAS

    as
    1. Markus K. Brunnermeier & Yuliy Sannikov, 2014. "A Macroeconomic Model with a Financial Sector," American Economic Review, American Economic Association, vol. 104(2), pages 379-421, February.
    2. Ana Fostel & John Geanakoplos, 2012. "Tranching, CDS, and Asset Prices: How Financial Innovation Can Cause Bubbles and Crashes," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(1), pages 190-225, January.
    3. Tomohiro Hirano & Noriyuki Yanagawa, 2017. "Asset Bubbles, Endogenous Growth, and Financial Frictions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(1), pages 406-443.
    4. Ma, Qingyin & Toda, Alexis Akira, 2021. "A theory of the saving rate of the rich," Journal of Economic Theory, Elsevier, vol. 192(C).
    5. Charles P. Kindleberger & Peter L. Bernstein, 2000. "Manias, Panics and Crashes," Palgrave Macmillan Books, Palgrave Macmillan, edition 0, number 978-0-230-53675-3, December.
    6. 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.
    7. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    8. Brendan K. Beare & Alexis Akira Toda, 2022. "Determination of Pareto Exponents in Economic Models Driven by Markov Multiplicative Processes," Econometrica, Econometric Society, vol. 90(4), pages 1811-1833, July.
    9. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, April.
    10. Sun, Yeneng & Zhang, Yongchao, 2009. "Individual risk and Lebesgue extension without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 144(1), pages 432-443, January.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    bubble; endogenous growth; leverage; phase transition; transversality condition. JEL codes: D52; D53; G12.;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets

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