Thomas Seegmuller, Xavier Raurich, Lise Clain-Chamosset-Yvrard, Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne (GATE Lyon Saint-Étienne), École normale supérieure de Lyon (ENS de Lyon)-Université Lumière - Lyon 2 (UL2)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), University of Barcelona, Aix-Marseille Sciences Economiques (AMSE), École des hautes études en sciences sociales (EHESS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Thomas Seegmuller thanks the financial support of the french government under the 'France 2030' investment plan managed by the French National Research Agency (reference: ANR-17-EURE-0020) and from Excellence Initiative of Aix-Marseille University - A*MIDEX. Xavier Raurich thanks financial support from the Spanish Government through Grants RTI2018-093543-B-I00 and PID2021-126549NB-I00., ANR-17-EURE-0020,AMSE (EUR),Aix-Marseille School of Economics(2017), ANR-11-IDEX-0001,Amidex,INITIATIVE D'EXCELLENCE AIX MARSEILLE UNIVERSITE(2011), Groupe d'analyse et de théorie économique (GATE Lyon Saint-Étienne), Centre National de la Recherche Scientifique (CNRS)-Université de Lyon-Université Jean Monnet [Saint-Étienne] (UJM)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université Lumière - Lyon 2 (UL2)-École normale supérieure - Lyon (ENS Lyon), University of Barcelona, Department of Economics, Spanish Government and the European Union through grant RTI2018-093543-B-I00, MCIU, AEI, FEDER, ANR-15-CE33-0001,FIRE,Interdépendances financières et réelles : volatilité, ouverture internationale et politiques économiques(2015), École normale supérieure - Lyon (ENS Lyon)-Université Lumière - Lyon 2 (UL2)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Université Jean Monnet [Saint-Étienne] (UJM)-Centre National de la Recherche Scientifique (CNRS), École des hautes études en sciences sociales (EHESS)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU), Lhuillier, Elisabeth, Aix-Marseille School of Economics - - AMSE (EUR)2017 - ANR-17-EURE-0020 - EURE - VALID, Interdépendances financières et réelles : volatilité, ouverture internationale et politiques économiques - - FIRE2015 - ANR-15-CE33-0001 - AAPG2015 - VALID, Université Lumière - Lyon 2 (UL2)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), and Dao, Taï
Several recent papers introduce different mechanisms to explain why asset bubbles are observed in periods of larger growth. These papers share common assumptions, heterogeneity among traders and credit market imperfection , but differ in the role of the bubble, used to provide liquidities or as collateral in a borrowing constraint. In this paper, we introduce heterogeneous traders by considering an overlapping generations model with households living three periods. Young households cannot invest in capital, while adults have access to investment and face a borrowing constraint. Introducing bubbles in a quite general way, encompassing the different roles they have in the existing literature, we show that the bubble may enhance growth when the borrowing constraint is binding. More significantly, our results do not depend on the-liquidity or collateral-role attributed to the bubble. We finally extend our analysis to a stochas-tic bubble, which may burst with a positive probability. Because credit and bubble are no more perfectly substitutable assets, the liquidity and collateral roles of the bubble are not equivalent. Growth is larger when bubbles play the liquidity role, because the burst of a bubble used for liquidity is less damaging to agents who invest in capital.