IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v45y2009i3-4p223-232.html
   My bibliography  Save this article

Dividend paying assets, the unit root property, and suboptimality

Author

Listed:
  • Chattopadhyay, Subir
  • Jimnez-Martnez, Antonio

Abstract

We consider the stationary equilibria of one good overlapping generations (OLG) economies with a sequence of possibly incomplete asset markets and prove two results. First, we show that if some asset always pays a nonnegative dividend, then its price changes sign across states if and only if the Perron root of every agent's matrix of intertemporal rates of substitution exceeds one. Second, we provide sufficient conditions in terms of dividends and asset prices such that, keeping asset prices fixed, a conditionally Pareto improving allocation is induced by a stationary reassignment of a single asset. When taken together the results show that when for some agent the Perron root exceeds one, the existence of an asset that pays a strictly positive dividend in every state is sufficient to induce an improvement.

Suggested Citation

  • Chattopadhyay, Subir & Jimnez-Martnez, Antonio, 2009. "Dividend paying assets, the unit root property, and suboptimality," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 223-232, March.
    • Handle: RePEc:eee:mateco:v:45:y:2009:i:3-4:p:223-232
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(08)00092-X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    2. Gabrielle Demange, 2002. "On optimality in intergenerational risk sharing," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(1), pages 1-27.
    3. Wilson, Charles A., 1981. "Equilibrium in dynamic models with an infinity of agents," Journal of Economic Theory, Elsevier, vol. 24(1), pages 95-111, February.
    4. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
    5. Geanakoplos, J. & Polemarchakis, H., 1985. "Existence,regularity, and constrained suboptimality of competitive allocations when the asset market is incomplete," LIDAM Discussion Papers CORE 1985037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Chattopadhyay, Subir, 2006. "Optimality in stochastic OLG models: Theory for tests," Journal of Economic Theory, Elsevier, vol. 131(1), pages 282-294, November.
    7. Rao Aiyagari, S. & Peled, Dan, 1991. "Dominant root characterization of Pareto optimality and the existence of optimal equilibria in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 54(1), pages 69-83, June.
    8. Allen, Franklin & Gale, Douglas, 1997. "Financial Markets, Intermediaries, and Intertemporal Smoothing," Journal of Political Economy, University of Chicago Press, vol. 105(3), pages 523-546, June.
    9. Gottardi, Piero, 1996. "Stationary Monetary Equilibria in Overlapping Generations Models with Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 75-89, October.
    10. Gabrielle Demange & Guy Laroque, 1999. "Social Security and Demographic Shocks," Econometrica, Econometric Society, vol. 67(3), pages 527-542, May.
    11. Muench, Thomas J., 1977. "Optimality, the interaction of spot and futures markets, and the nonneutrality of money in the lucas model," Journal of Economic Theory, Elsevier, vol. 15(2), pages 325-344, August.
    12. Cass, David & Green, Richard C & Spear, Stephen E, 1992. "Stationary Equilibria with Incomplete Markets and Overlapping Generations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(3), pages 495-512, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Subir Chattopadhyay, 2001. "Long-Lived Assets, Incomplete Markets, And Optimality," Working Papers. Serie AD 2001-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    2. Antonio Jiménez-Martínez & Subir Chattopadhyay, 2000. "The Unit Root Property When Markets Are Sequentially Incomplete," Working Papers. Serie AD 2000-32, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    3. Ohtaki, Eisei, 2013. "Golden rule optimality in stochastic OLG economies," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 60-66.
    4. Eisei Ohtaki & Hiroyuki Ozaki, 2014. "Optimality in a Stochastic OLG Model with Ambiguity," Working Papers e069, Tokyo Center for Economic Research.
    5. Eisei Ohtaki, 2023. "Optimality in an OLG model with nonsmooth preferences," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(3), pages 611-659, September.
    6. Eisei Ohtaki & Hiroyuki Ozaki, 2015. "Monetary equilibria and Knightian uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(3), pages 435-459, August.
    7. Chattopadhyay, Subir, 2006. "Optimality in stochastic OLG models: Theory for tests," Journal of Economic Theory, Elsevier, vol. 131(1), pages 282-294, November.
    8. Florenzano, Monique & Gourdel, Pascal & Pascoa, Mario Rui, 2001. "Overlapping generations models with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 36(3), pages 201-218, December.
    9. Chattopadhyay, Subir, 2018. "The unit root property and optimality with a continuum of states—Pure exchange," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 105-118.
    10. Espen Henriksen & Steve Spear, 2006. "Dynamic Suboptimality of Competitive Equilibrium in Multiperiod Overlapping Generations Economies," Computing in Economics and Finance 2006 223, Society for Computational Economics.
    11. Gabrielle Demange, 2009. "On Sustainable Pay‐as‐You‐Go Contribution Rules," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(4), pages 493-527, August.
    12. Kokonas, Nikos & Polemarchakis, Herakles, 2015. "Suboptimality with land," CRETA Online Discussion Paper Series 13, Centre for Research in Economic Theory and its Applications CRETA.
    13. Henriksen, Espen & Spear, Stephen, 2012. "Endogenous market incompleteness without market frictions: Dynamic suboptimality of competitive equilibrium in multiperiod overlapping generations economies," Journal of Economic Theory, Elsevier, vol. 147(2), pages 426-449.
    14. Chattopadhyay, Subir, 2008. "The Cass criterion, the net dividend criterion, and optimality," Journal of Economic Theory, Elsevier, vol. 139(1), pages 335-352, March.
    15. Barbie, Martin & Hagedorn, Marcus & Kaul, Ashok, 2000. "Dynamic Efficiency and Pareto Optimality in a Stochastic OLG Model with Production and Social Security," IZA Discussion Papers 209, Institute of Labor Economics (IZA).
    16. Sara Eugeni, 2019. "Exchange rate volatility and cooperation in an incomplete markets' economy," Department of Economics Working Papers 2019_02, Durham University, Department of Economics.
    17. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
    18. Subir Chattopadhyay, 2000. "The Unit Root Property And Optimality: A Simple Proof," Working Papers. Serie AD 2000-31, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    19. Nikos Kokonas & Herakles Polemarchakis, 2016. "Suboptimality with land," Department of Economics Working Papers 45/15, University of Bath, Department of Economics.
    20. Kokonas, Nikos & Polemarchakis, Herakles, 2015. "Suboptimality with land," The Warwick Economics Research Paper Series (TWERPS) 1103, University of Warwick, Department of Economics.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:45:y:2009:i:3-4:p:223-232. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.