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Portfolio constraints, differences in beliefs and bubbles

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  • Bidian, Florin

Abstract

I propose an arbitrage-based theory of bubbles in economies with general portfolio constraints and differences in beliefs. I find that, in general, bubbles cannot exist unless the constraints restrict the demand for credit sufficiently to induce low interest rates. Speculation due to heterogeneous beliefs does not cause bubbles. Ruling out bubbles under asymmetric information requires stronger assumptions: the presence of some uninformed agents and mild portfolio restrictions (debt or borrowing constraints), or alternatively, the existence of some impatient and fully informed agents.

Suggested Citation

  • Bidian, Florin, 2015. "Portfolio constraints, differences in beliefs and bubbles," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 317-326.
    • Handle: RePEc:eee:mateco:v:61:y:2015:i:c:p:317-326
    DOI: 10.1016/j.jmateco.2015.10.001
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    1. Kocherlakota, Narayana, 2008. "Injecting rational bubbles," Journal of Economic Theory, Elsevier, vol. 142(1), pages 218-232, September.
    2. Montrucchio, Luigi & Privileggi, Fabio, 2001. "On Fragility of Bubbles in Equilibrium Asset Pricing Models of Lucas-Type," Journal of Economic Theory, Elsevier, vol. 101(1), pages 158-188, November.
    3. Dilip Abreu & Markus K. Brunnermeier, 2003. "Bubbles and Crashes," Econometrica, Econometric Society, vol. 71(1), pages 173-204, January.
    4. John Moore & Nobuhiro Kiyotaki, 2008. "Liquidity, Business Cycles, and Monetary Policy," 2008 Meeting Papers 35, Society for Economic Dynamics.
    5. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    6. Andrew B. Abel & N. Gregory Mankiw & Lawrence H. Summers & Richard J. Zeckhauser, 1989. "Assessing Dynamic Efficiency: Theory and Evidence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(1), pages 1-19.
    7. Kevin X.D. Huang & Jan Werner, 2000. "Asset price bubbles in Arrow-Debreu and sequential equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 253-278.
    8. Alberto Martin & Jaume Ventura, 2012. "Economic Growth with Bubbles," American Economic Review, American Economic Association, vol. 102(6), pages 3033-3058, October.
    9. Bejan, Camelia & Bidian, Florin, 2014. "Bubbles and trading in incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 137-144.
    10. Magill, Michael & Quinzii, Martine, 1994. "Infinite Horizon Incomplete Markets," Econometrica, Econometric Society, vol. 62(4), pages 853-880, July.
    11. Stephen Morris, 1996. "Speculative Investor Behavior and Learning," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(4), pages 1111-1133.
    12. Kocherlakota, Narayana R., 1992. "Bubbles and constraints on debt accumulation," Journal of Economic Theory, Elsevier, vol. 57(1), pages 245-256.
    13. Miao, Jianjun & Wang, Pengfei, 2014. "Sectoral bubbles, misallocation, and endogenous growth," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 153-163.
    14. Hirano, Tomohiro & Yanagawa, Noriyuki, 2010. "Asset Bubbles, Endogenous Growth, and Financial Frictions," MPRA Paper 24085, University Library of Munich, Germany.
    15. Miao, Jianjun, 2014. "Introduction to economic theory of bubbles," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 130-136.
    16. Grossman, Gene M. & Yanagawa, Noriyuki, 1993. "Asset bubbles and endogenous growth," Journal of Monetary Economics, Elsevier, vol. 31(1), pages 3-19, February.
    17. Jianjun Miao & PENGFEI WANG, 2011. "Bubbles and Credit Constraints," Boston University - Department of Economics - Working Papers Series WP2011-031, Boston University - Department of Economics.
    18. Brunnermeier, Markus K. & Oehmke, Martin, 2013. "Bubbles, Financial Crises, and Systemic Risk," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1221-1288, Elsevier.
    19. Levine, David K. & Zame, William R., 1996. "Debt constraints and equilibrium in infinite horizon economies with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 103-131.
    20. Hugonnier, Julien, 2012. "Rational asset pricing bubbles and portfolio constraints," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2260-2302.
    21. Allen F. & Morris S. & Postlewaite A., 1993. "Finite Bubbles with Short Sale Constraints and Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 61(2), pages 206-229, December.
    22. Araujo, Aloisio & Páscoa, Mário R. & Torres-Martínez, Juan Pablo, 2011. "Long-lived collateralized assets and bubbles," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 260-271.
    23. 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.
    24. Jumpei Tanaka, 2011. "Re‐Examination Of The Growth‐Enhancing Bubble," The Japanese Economic Review, Japanese Economic Association, vol. 62(2), pages 170-183, June.
    25. Emmanuel Farhi & Jean Tirole, 2012. "Bubbly Liquidity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 678-706.
    26. He, Hua & Modest, David M, 1995. "Market Frictions and Consumption-Based Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 94-117, February.
    27. 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.
    28. Jacques Olivier, 2000. "Growth-Enhancing Bubbles," Post-Print hal-00460097, HAL.
    29. repec:oup:restud:v:84:y::i:1:p:406-443. is not listed on IDEAS
    30. Olivier, Jacques, 2000. "Growth-Enhancing Bubbles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 133-151, February.
    31. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    32. Jose A. Scheinkman & Wei Xiong, 2003. "Overconfidence and Speculative Bubbles," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1183-1219, December.
    33. Wei Xiong, 2013. "Bubbles, Crises, and Heterogeneous Beliefs," NBER Working Papers 18905, National Bureau of Economic Research, Inc.
    34. Mário Páscoa & Myrian Petrassi & Juan Torres-Martínez, 2011. "Fiat money and the value of binding portfolio constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(2), pages 189-209, February.
    35. Christian Hellwig & Guido Lorenzoni, 2009. "Bubbles and Self-Enforcing Debt," Econometrica, Econometric Society, vol. 77(4), pages 1137-1164, July.
    36. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, vol. 68(4), pages 775-798, July.
    37. Antonio Doblas‐Madrid, 2012. "A Robust Model of Bubbles With Multidimensional Uncertainty," Econometrica, Econometric Society, vol. 80(5), pages 1845-1893, September.
    38. David Yu, 1998. "Rational Bubbles Under Diverse Information," Discussion Papers Series, Department of Economics, Tufts University 9816, Department of Economics, Tufts University.
    39. Florin Bidian & Camelia Bejan, 2015. "Martingale properties of self-enforcing debt," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 35-57, September.
    40. Huang, Kevin X. D., 2002. "On infinite-horizon minimum-cost hedging under cone constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 283-301, December.
    41. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    42. Martin Larsson, 2013. "Non-Equivalent Beliefs and Subjective Equilibrium Bubbles," Papers 1306.5082, arXiv.org.
    43. Allen, Franklin & Gale, Douglas, 2000. "Bubbles and Crises," Economic Journal, Royal Economic Society, vol. 110(460), pages 236-255, January.
    44. John H. Cochrane, 2002. "Stocks as Money: Convenience Yield and the Tech-Stock Bubble," NBER Working Papers 8987, National Bureau of Economic Research, Inc.
    45. Werner, Jan, 2014. "Rational asset pricing bubbles and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 145-152.
    46. Dahai Yu, 1998. "Rational bubbles under diverse information," International Finance Discussion Papers 621, Board of Governors of the Federal Reserve System (U.S.).
    47. LeRoy,Stephen F. & Werner,Jan, 2014. "Principles of Financial Economics," Cambridge Books, Cambridge University Press, number 9781107024120, February.
    48. Giglio, Stefano & Severo, Tiago, 2012. "Intangible capital, relative asset shortages and bubbles," Journal of Monetary Economics, Elsevier, vol. 59(3), pages 303-317.
    49. J. Michael Harrison & David M. Kreps, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(2), pages 323-336.
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    2. Boucekkine, Raouf & Kazuo, Nishimura & Venditti, Alain, 2017. "Introduction to international financial markets and banking systems crises," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 87-91.

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