IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/1509.html
   My bibliography  Save this paper

Bond and Stock Returns in a Simple Exchange Model

Author

Listed:
  • John Y. Campbell

Abstract

In this paper I analyze a simple "representative agent" exchange model of general equilibrium, and derive closed form solutions for returns on stocks and real and nominal bonds. The model restricts the representative agent's utility function to be time-separable with isoelastic period utility, and the endowment to be conditionally lognormal. These assumptions allow me to examine a general stationary stochastic process for the log of the endowment. Money and nominal prices are modelled by means of a Clower constraint. Risk premia on stocks and real and nominal discount bonds are simple functions of the coefficient of relative risk aversion, the variance of the innovation to the log endowment, and the weights in the moving average representation of the log endowment. One-period holding premia on real bonds may be positive or negative, but the limit as maturity increases is positive. When the money supply is deterministic, stocks and nominal bonds are perfect substitutes. Their expected returns to maturity are higher than those on real bonds of equal maturity, but need not be higher over other holding periods. Nominal interest rates vary positively with prices (the "Gibson paradox") if the coefficient of relative risk aversion is greater than one. In the last section of the paper I consider random shocks to the agent's utility function. These shocks may generate risk premia even when the agent is risk-neutral.

Suggested Citation

  • John Y. Campbell, 1984. "Bond and Stock Returns in a Simple Exchange Model," NBER Working Papers 1509, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:1509
    Note: ME
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w1509.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. Hansen, Lars Peter & Singleton, Kenneth J, 1983. "Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 249-265, April.
    3. Sargent, Thomas J, 1973. "Interest Rates and Prices in the Long Run: A Study of the Gibson Paradox," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 5(1), pages 385-449, Part II F.
    4. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1981. "A Re-examination of Traditional Hypotheses about the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 36(4), pages 769-799, September.
    5. Michener, Ronald W, 1982. "Variance Bounds in a Simple Model of Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 90(1), pages 166-175, February.
    6. Michener, Ron, 1984. "Permanent income in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 13(3), pages 297-305, May.
    7. Lucas, Robert Jr., 1982. "Interest rates and currency prices in a two-country world," Journal of Monetary Economics, Elsevier, vol. 10(3), pages 335-359.
    8. LeRoy, Stephen F., 1983. "Risk-aversion and the term structure of real interest rates correction," Economics Letters, Elsevier, vol. 12(3-4), pages 339-340.
    9. John B. Donaldson & Rajnish Mehra, 1984. "Comparative Dynamics of an Equilibrium Intertemporal Asset Pricing Model," Review of Economic Studies, Oxford University Press, vol. 51(3), pages 491-508.
    10. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    11. LeRoy, Stephen F., 1982. "Risk-aversion and the term structure of real interest rates," Economics Letters, Elsevier, vol. 10(3-4), pages 355-361.
    12. Shiller, Robert J & Siegel, Jeremy J, 1977. "The Gibson Paradox and Historical Movements in Real Interest Rates," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 891-907, October.
    13. Mankiw, N. Gregory, 1981. "The permanent income hypothesis and the real interest rate," Economics Letters, Elsevier, vol. 7(4), pages 307-311.
    Full references (including those not matched with items on IDEAS)

    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:nbr:nberwo:1509. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: () or (Joanne Lustig). General contact details of provider: http://edirc.repec.org/data/nberrus.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.