IDEAS home Printed from https://ideas.repec.org/p/cda/wpaper/112.html
   My bibliography  Save this paper

Equity, Bonds, Growth And Inflation In A Quadratic Infinite Horizon Economy

Author

Listed:
  • Martine Quinzii
  • Michael Magill
  • Julian R. Betts

    (Department of Economics, University of California Davis)

Abstract

This paper exhibits a class of infinite-horizon economies with incomplete markets (GEI) for which the equilibrium can be explicitly derived. We show that if agents have preference orderings represented by expected discounted quadratic utilities and if their endowments are tradable, then the equilibrium consumption and welfare of agents can be expressed as a function of the least variable income stream (LVI) obtainable by trading on the financial markets. If in addition the economy has a Markov structure, then the LVI can be calculated. The model is used to study the behavior of agents on the equity and bond markets in an economy in which the growth and inflation processes are calibrated to fit US data. Two related findings emerge: first, the proportion of bonds in the portfolios of even the most risk-averse agents is small (less than 2%); second, since equity dominates the portfolios of agents, the welfare loss due to variable inflation is small.

Suggested Citation

  • Martine Quinzii & Michael Magill & Julian R. Betts, 2003. "Equity, Bonds, Growth And Inflation In A Quadratic Infinite Horizon Economy," Working Papers 112, University of California, Davis, Department of Economics.
    • Handle: RePEc:cda:wpaper:112
    as

    Download full text from publisher

    File URL: https://repec.dss.ucdavis.edu/files/kVgipuCVmycq3f764vUbd5jk/98-8.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. Michael Magill & Martine Quinzii, 1997. "Which improves welfare more: A nominal or an indexed bond?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 1-37.
    3. Woodford, Michael, 1990. "The optimum quantity of money," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 2, chapter 20, pages 1067-1152, Elsevier.
    4. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    5. Telmer, Chris I, 1993. "Asset-Pricing Puzzles and Incomplete Markets," Journal of Finance, American Finance Association, vol. 48(5), pages 1803-1832, December.
    6. Schechtman, Jack, 1976. "An income fluctuation problem," Journal of Economic Theory, Elsevier, vol. 12(2), pages 218-241, April.
    7. Yaari, Menahem E., 1976. "A law of large numbers in the theory of consumer's choice under uncertainty," Journal of Economic Theory, Elsevier, vol. 12(2), pages 202-217, April.
    8. Neumeyer, Pablo Andres, 1998. "Inflation-stabilization risk in economies with incomplete asset markets," Journal of Economic Dynamics and Control, Elsevier, vol. 23(3), pages 371-391, November.
    9. Neumeyer, Pablo Andres, 1998. "Currencies and the Allocation of Risk: The Welfare Effects of a Monetary Union," American Economic Review, American Economic Association, vol. 88(1), pages 246-259, March.
    10. Magill, Michael & Quinzii, Martine, 1996. "Incomplete markets over an infinite horizon: Long-lived securities and speculative bubbles," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 133-170.
    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. Michael Magill & Martine Quinzii, "undated". "Equity, Bonds, Growth And Inflation In A Quadratic Infinite Horizon Economy," Department of Economics 98-08, California Davis - Department of Economics.
    2. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    3. George-Marios Angeletos & Laurent E. Calvet, 2001. "Incomplete Markets, Growth, and the Business Cycle," Harvard Institute of Economic Research Working Papers 1910, Harvard - Institute of Economic Research.
    4. David K. Levine & William R. Zame, 2002. "Does Market Incompleteness Matter?," Econometrica, Econometric Society, vol. 70(5), pages 1805-1839, September.
    5. Emma Moreno-García & Juan Torres-Martínez, 2012. "Equilibrium existence in infinite horizon economies," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 11(2), pages 127-145, August.
    6. Saki Bigio & Eduardo Zilberman, 2020. "Speculation-Driven Business Cycles," Working Papers Central Bank of Chile 865, Central Bank of Chile.
    7. Kris Jacobs, 2001. "Estimating Nonseparable Preference Specifications for Asset Market Participants," CIRANO Working Papers 2001s-12, CIRANO.
    8. Claudio Mattalia, 2003. "Existence of solutions and asset pricing bubbles in general equilibrium models," ICER Working Papers - Applied Mathematics Series 02-2003, ICER - International Centre for Economic Research.
    9. repec:cvs:starer:8415 is not listed on IDEAS
    10. Lagos, Ricardo, 2010. "Asset prices and liquidity in an exchange economy," Journal of Monetary Economics, Elsevier, vol. 57(8), pages 913-930, November.
    11. Cuong Le Van & Ngoc-Sang Pham, 2016. "Intertemporal equilibrium with financial asset and physical capital," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 155-199, June.
    12. Heaton, John & Lucas, Deborah J, 1996. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 443-487, June.
    13. Chipeniuk, Karsten O. & Katz, Nets Hawk & Walker, Todd B., 2022. "Households, auctioneers, and aggregation," European Economic Review, Elsevier, vol. 141(C).
    14. Alexis Akira Toda, 2015. "Asset Prices and Efficiency in a Krebs Economy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(4), pages 957-978, October.
    15. Jacobs, Kris, 2000. "Estimating Nonseparable Preference Specifications for Asset Market Participants," Econometric Society World Congress 2000 Contributed Papers 1472, Econometric Society.
    16. Kris Jacobs, 2002. "The Rate of Risk Aversion May Be Lower Than You Think," CIRANO Working Papers 2002s-08, CIRANO.
    17. Grigoli, Francesco & Herman, Alexander & Schmidt-Hebbel, Klaus, 2018. "Saving in the world," World Development, Elsevier, vol. 104(C), pages 257-270.
    18. 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.
    19. Karen K. Lewis, 1999. "Trying to Explain Home Bias in Equities and Consumption," Journal of Economic Literature, American Economic Association, vol. 37(2), pages 571-608, June.
    20. Walentin Karl, 2010. "Earnings Inequality and the Equity Premium," The B.E. Journal of Macroeconomics, De Gruyter, vol. 10(1), pages 1-23, November.
    21. Ábrahám, Árpád & Cárceles-Poveda, Eva, 2010. "Endogenous trading constraints with incomplete asset markets," Journal of Economic Theory, Elsevier, vol. 145(3), pages 974-1004, May.

    More about this item

    Statistics

    Access and download statistics

    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:cda:wpaper:112. 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: Letters and Science IT Services Unit (email available below). General contact details of provider: https://edirc.repec.org/data/educdus.html .

    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.