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Wealth Dynamics in a Bond Economy with Heterogeneous Beliefs

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  • Timothy Cogley
  • Thomas J. Sargent
  • Viktor Tsyrennikov

Abstract

We study an economy in which two types of agents have diverse beliefs about the law of motion for an exogenous endowment. One type knows the true law of motion, and the other learns about it via Bayes's theorem. Financial markets are incomplete, the only traded asset being a risk-free bond. Borrowing limits are imposed to ensure the existence of an equilibrium. We analyze how financial-market structure affects the distribution of financial wealth and survival of the two agents. When markets are complete, the learning agent loses wealth during the learning transition and eventually exits the economy (Blume and Easley 2006). In contrast, in a bond-only economy, the learning agent accumulates wealth, and both agents survive asymptotically, with the knowledgeable agent being driven to his debt limit. The absence of markets for certain Arrow securities is central to reversing the direction in which wealth is transferred.
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Suggested Citation

  • Timothy Cogley & Thomas J. Sargent & Viktor Tsyrennikov, 2014. "Wealth Dynamics in a Bond Economy with Heterogeneous Beliefs," Economic Journal, Royal Economic Society, vol. 124(575), pages 1-30, March.
  • Handle: RePEc:wly:econjl:v:124:y:2014:i:575:p:1-30
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    File URL: http://hdl.handle.net/10.1111/ecoj.2014.124.issue-575
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    References listed on IDEAS

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    1. Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-781, July.
    2. Timothy Cogley & Thomas J. Sargent & Viktor Tsyrennikov, 2014. "Wealth Dynamics in a Bond Economy with Heterogeneous Beliefs," Economic Journal, Royal Economic Society, vol. 124(575), pages 1-30, March.
    3. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2009. "Quantitative Macroeconomics with Heterogeneous Households," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 319-354, May.
    4. Tarek Coury & Emanuela Sciubba, 2012. "Belief heterogeneity and survival in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 37-58, January.
    5. Lawrence Blume & David Easley, 2006. "If You're so Smart, why Aren't You Rich? Belief Selection in Complete and Incomplete Markets," Econometrica, Econometric Society, vol. 74(4), pages 929-966, July.
    6. Beker, Pablo & Chattopadhyay, Subir, 2010. "Consumption dynamics in general equilibrium: A characterisation when markets are incomplete," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2133-2185, November.
    7. Sandroni, Alvaro, 2005. "Market selection when markets are incomplete," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 91-104, February.
    8. Robert J. Barro, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," The Quarterly Journal of Economics, Oxford University Press, vol. 121(3), pages 823-866.
    9. Sanford J. Grossman, 1981. "An Introduction to the Theory of Rational Expectations Under Asymmetric Information," Review of Economic Studies, Oxford University Press, vol. 48(4), pages 541-559.
    10. 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.
    11. Guerdjikova, Ani & Sciubba, Emanuela, 2015. "Survival with ambiguity," Journal of Economic Theory, Elsevier, vol. 155(C), pages 50-94.
    12. Leonid Kogan & Stephen A. Ross & Jiang Wang & Mark M. Westerfield, 2006. "The Price Impact and Survival of Irrational Traders," Journal of Finance, American Finance Association, vol. 61(1), pages 195-229, February.
    13. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    14. Felix Kubler & Karl Schmedders, 2003. "Stationary Equilibria in Asset-Pricing Models with Incomplete Markets and Collateral," Econometrica, Econometric Society, vol. 71(6), pages 1767-1793, November.
    15. Jaroslav Borovicka, 2011. "Survival and long-run dynamics with heterogeneous beliefs under recursive preferences," Working Paper Series WP-2011-06, Federal Reserve Bank of Chicago.
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    Citations

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    Cited by:

    1. Timothy Cogley & Thomas J. Sargent & Viktor Tsyrennikov, 2014. "Wealth Dynamics in a Bond Economy with Heterogeneous Beliefs," Economic Journal, Royal Economic Society, vol. 124(575), pages 1-30, March.
    2. Rarytska, Olena & Tsyrennikov, Viktor, 2016. "Capital Flows, Beliefs, and Capital Controls," Working Papers 250031, Cornell University, Department of Applied Economics and Management.
    3. Pietro Dindo & Filippo Massari, 2017. "The Wisdom of the Crowd in Dynamic Economies," Working Papers 2017:17, Department of Economics, University of Venice "Ca' Foscari", revised 2018.
    4. Viktor Tsyrennikov, 2012. "Heterogeneous Beliefs, Wealth Distribution, and Asset Markets with Risk of Default," American Economic Review, American Economic Association, vol. 102(3), pages 156-160, May.
    5. Blume, Lawrence E. & Cogley, Timothy & Easley, David A. & Sargent, Thomas J. & Tsyrennikov, Viktor, 2015. "A Case for Incomplete Markets," Economics Series 313, Institute for Advanced Studies.
    6. Viktor Tsyrennikov, 2015. "Investment, speculation, and financial regulation," 2015 Meeting Papers 627, Society for Economic Dynamics.
    7. Yili Chien & Harold Cole & Hanno Lustig, 2016. "Implications of Heterogeneity in Preferences, Beliefs and Asset Trading Technologies in an Endowment Economy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 215-239, April.
    8. Giulio Bottazzi & Pietro Dindo & Daniele Giachini, 2018. "Momentum and Reversal in Financial Markets with Persistent Heterogeneity," LEM Papers Series 2018/04, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    9. repec:spr:joecth:v:66:y:2018:i:2:d:10.1007_s00199-017-1066-8 is not listed on IDEAS
    10. repec:eee:jmacro:v:53:y:2017:i:c:p:162-175 is not listed on IDEAS
    11. Beker, Pablo F & Espino, Emilio, 2013. "Too Good to Be True: Asset Pricing Implications of Pessimism," The Warwick Economics Research Paper Series (TWERPS) 1031, University of Warwick, Department of Economics.

    More about this item

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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