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Asset Trading Volume with Dynamically Complete Markets and Heterogeneous Agents

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  • Kenneth L. Judd
  • Felix Kubler
  • Karl Schmedders

Abstract

The trading volume of long-lived securities with recursive payoffs, such as equity, is generically zero in infinite-horizon recursive pure exchange Lucas asset models with heterogeneous agents. In equilibrium, there is no portfolio rebalancing of such assets. More generally, the end-of-period portfolio of long- and short-lived securities is constant over time and states in the generic economy. We also present a nonrobust formulation of dynamically complete markets which does have nonzero trading volume in equilibrium. The comparisons show that any theory of asset trading volume will be very sensitive to small changes in model specifications.

Suggested Citation

  • Kenneth L. Judd & Felix Kubler & Karl Schmedders, 2000. "Asset Trading Volume with Dynamically Complete Markets and Heterogeneous Agents," Discussion Papers 1294, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:1294
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    References listed on IDEAS

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    1. Brock, William A & LeBaron, Blake D, 1996. "A Dynamic Structural Model for Stock Return Volatility and Trading Volume," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 94-110, February.
    2. Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-781, July.
    3. P. Jean-Jacques Herings & Felix Kubler, 2002. "Computing Equilibria in Finance Economies," Mathematics of Operations Research, INFORMS, vol. 27(4), pages 637-646, November.
    4. Judd, Kenneth L. & Kubler, Felix & Schmedders, Karl, 2000. "Computing equilibria in infinite-horizon finance economies: The case of one asset," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 1047-1078, June.
    5. Magill, Michael J. P. & Shafer, Wayne J., 1990. "Characterisation of generically complete real asset structures," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 167-194.
    6. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    7. K. J. Arrow, 1964. "The Role of Securities in the Optimal Allocation of Risk-bearing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(2), pages 91-96.
    8. Wang, Jiang, 1994. "A Model of Competitive Stock Trading Volume," Journal of Political Economy, University of Chicago Press, vol. 102(1), pages 127-168, February.
    9. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
    10. BEWLEY, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," LIDAM Reprints CORE 122, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Citations

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    Cited by:

    1. Bar Light, 2019. "General equilibrium in a heterogeneous-agent incomplete-market economy with many consumption goods and a risk-free bond," Papers 1906.06810, arXiv.org, revised Mar 2021.
    2. Emilio Espino & Thomas Hintermaier, 2009. "Asset trading volume in a production economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 231-258, May.
    3. Rabitsch, Katrin & Stepanchuk, Serhiy & Tsyrennikov, Viktor, 2015. "International portfolios: A comparison of solution methods," Journal of International Economics, Elsevier, vol. 97(2), pages 404-422.
    4. Piero Gottardi & Felix Kubler, 2015. "Dynamic Competitive Economies with Complete Markets and Collateral Constraints," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(3), pages 1119-1153.
    5. Eugeni, Sara, 2024. "Nominal exchange rates and net foreign assets' dynamics: The stabilization role of valuation effects," Journal of International Money and Finance, Elsevier, vol. 141(C).
    6. David N. DeJong & Emilio Espino, 2007. "The Cyclical Behavior of Equity Turnover," Working Paper 294, Department of Economics, University of Pittsburgh, revised Jun 2010.
    7. Espino, Emilio, 2007. "Equilibrium portfolios in the neoclassical growth model," Journal of Economic Theory, Elsevier, vol. 137(1), pages 673-687, November.
    8. repec:nbr:nberch:12923 is not listed on IDEAS
    9. Berrada, Tony & Hugonnier, Julien & Rindisbacher, Marcel, 2007. "Heterogeneous preferences and equilibrium trading volume," Journal of Financial Economics, Elsevier, vol. 83(3), pages 719-750, March.
    10. Elena Asparouhova & Peter Bossaerts & Nilanjan Roy & William Zame, 2016. "“Lucas” in the Laboratory," Journal of Finance, American Finance Association, vol. 71(6), pages 2727-2780, December.
    11. Eric Aldrich, 2012. "Trading Volume in General Equilibrium with Complete Markets," 2012 Meeting Papers 36, Society for Economic Dynamics.
    12. ,, 2007. "Two-fund separation in dynamic general equilibrium," Theoretical Economics, Econometric Society, vol. 2(2), June.
    13. Chiaki Hara, 2009. "Effectively Complete Asset Markets with Multiple Goods and over Multiple Periods," KIER Working Papers 685, Kyoto University, Institute of Economic Research.
    14. Beker, Pablo F. & Espino, Emilio, 2011. "The dynamics of efficient asset trading with heterogeneous beliefs," Journal of Economic Theory, Elsevier, vol. 146(1), pages 189-229, January.
    15. Bossaerts, Peter & Zame, William R., 2006. "Asset trading volume in infinite-horizon economies with dynamically complete markets and heterogeneous agents: Comment," Finance Research Letters, Elsevier, vol. 3(2), pages 96-101, June.
    16. Espino Emilio, 2014. "Optimal portfolios with wealth-varying risk aversion in the neoclassical growth model," The B.E. Journal of Macroeconomics, De Gruyter, vol. 14(1), pages 1-26, January.
    17. Felix KUBLER & Karl SCHMEDDERS, 2010. "Life-Cycle Portfolio Choice, the Wealth Distribution and Asset Prices," Swiss Finance Institute Research Paper Series 10-21, Swiss Finance Institute.
    18. Datta, Manjira & Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2005. "Markovian equilibrium in infinite horizon economies with incomplete markets and public policy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 505-544, August.
    19. 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.
    20. Judd, Kenneth L. & Kubler, Felix & Schmedders, Karl, 2006. "Reply to "Asset trading volume in infinite-horizon economies with dynamically complete markets and heterogeneous agents: Comment"," Finance Research Letters, Elsevier, vol. 3(2), pages 102-105, June.
    21. Bejan, Camelia & Bidian, Florin, 2010. "Limited enforcement, bubbles and trading in incomplete markets," MPRA Paper 36819, University Library of Munich, Germany, revised 20 Feb 2012.
    22. James Staveley-O'Carroll & Olena Staveley-O'Carroll, 2019. "International Welfare Spillovers of National Pension Schemes," Working Papers 1903, College of the Holy Cross, Department of Economics.
    23. Sarolli, Gian Domenico, 2015. "Cleaning the gears: Counter-cyclical asset trading with financial transactions taxes," The Quarterly Review of Economics and Finance, Elsevier, vol. 56(C), pages 110-122.
    24. Staveley-O’Carroll James & Staveley-O’Carroll Olena M., 2021. "International Welfare Spillovers of National Pension Schemes," The B.E. Journal of Macroeconomics, De Gruyter, vol. 21(1), pages 363-397, January.
    25. Huber, Jurgen, 2007. "`J'-shaped returns to timing advantage in access to information - Experimental evidence and a tentative explanation," Journal of Economic Dynamics and Control, Elsevier, vol. 31(8), pages 2536-2572, August.

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