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Rational asset pricing bubbles and debt constraints

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  • Werner, Jan

Abstract

Rational price bubble arises when the price of an asset exceeds the asset’s fundamental value, that is, the present value of future dividend payments. The important result of Santos and Woodford (1997) says that price bubbles cannot exist in equilibrium in the standard dynamic asset pricing model with rational agents facing borrowing constraints as long as assets are in strictly positive supply and the present value of total future resources is finite. This paper explores the possibility of asset price bubbles under endogenous debt constraints induced by limited enforcement of debt repayment. Equilibria with endogenous debt constraints are prone to have infinite present value of total resources. We show that asset price bubbles are likely to exist in such equilibria. Further, we demonstrate that there always exist equilibria with price bubbles on assets in zero supply.

Suggested Citation

  • Werner, Jan, 2014. "Rational asset pricing bubbles and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 145-152.
    • Handle: RePEc:eee:mateco:v:53:y:2014:i:c:p:145-152
    DOI: 10.1016/j.jmateco.2014.05.001
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    Cited by:

    1. Miao, Jianjun, 2014. "Introduction to economic theory of bubbles," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 130-136.
    2. Bidian, Florin, 2016. "Robust bubbles with mild penalties for default," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 141-153.
    3. Hirano, Tomohiro & Toda, Alexis Akira, 2024. "Bubble economics," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    4. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2017. "Asset bubbles and efficiency in a generalized two-sector model," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 37-48.
    5. repec:hal:wpaper:halshs-02993656 is not listed on IDEAS
    6. Takashi Kamihigashi, 2015. "A Simple No-Bubble Theorem for Deterministic Sequential Economies," Discussion Paper Series DP2015-38, Research Institute for Economics & Business Administration, Kobe University.
    7. Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2014. "Intertemporal equilibrium with production: bubbles and efficiency," Documents de travail du Centre d'Economie de la Sorbonne 14043, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    8. Bejan, Camelia & Bidian, Florin, 2014. "Bubbles and trading in incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 137-144.
    9. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2022. "Real indeterminacy and dynamics of asset price bubbles in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    10. Takashi Kamihigashi, 2016. "A Simple Optimality-Based No-Bubble Theorem for Deterministic Sequential Economies," Discussion Paper Series DP2016-22, Research Institute for Economics & Business Administration, Kobe University.
    11. Victor Filipe Martins da Rocha & Toan Phan & Yiannis Vailakis, 2019. "Debt Limits and Credit Bubbles in General Equilibrium," Post-Print hal-02429759, HAL.
    12. Takashi Kamihigashi, 2015. "A Simple No-Bubble Theorem," Discussion Paper Series DP2015-03, Research Institute for Economics & Business Administration, Kobe University.
    13. Kamihigashi, Takashi, 2018. "A Simple optimality-based no-bubble theorem for deterministic sequential economies with strictly monotone preferences," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 36-41.
    14. Zhang, Yue-Jun & Wang, Jing, 2015. "Exploring the WTI crude oil price bubble process using the Markov regime switching model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 377-387.
    15. Bidian, Florin, 2015. "Portfolio constraints, differences in beliefs and bubbles," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 317-326.
    16. Takashi Kamihigashi, 2015. "A Simple No-Bubble Theorem for Deterministic Dynamic Economies," Discussion Paper Series DP2015-24, Research Institute for Economics & Business Administration, Kobe University.
    17. Theodosios Perifanis, 2019. "Detecting West Texas Intermediate (WTI) Prices’ Bubble Periods," Energies, MDPI, vol. 12(14), pages 1-16, July.

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