IDEAS home Printed from https://ideas.repec.org/a/red/issued/v3y2000i3p365-395.html
   My bibliography  Save this article

Optimal Intertemporal Consumption Under Uncertainty

Author

Listed:
  • Gary Chamberlain

    (Harvard University)

  • Charles A. Wilson

    (New York University)

Abstract

We analyze the optimal consumption program of an infinitely-lived consumer who maximizes the discounted sum of utilities subject to a sequence of budget constraints where both the interest rate and his income are stochastic. We show that if the income and interest rate processes are sufficiently stochastic and the long run average rate of interest is greater than or equal to the discount rate, then consumption eventually grows without bound with probability one. We also establish conditions under which the borrowing constraints must be binding and examine how the income process affects the optimal consumption program. (Copyright: Elsevier)

Suggested Citation

  • Gary Chamberlain & Charles A. Wilson, 2000. "Optimal Intertemporal Consumption Under Uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(3), pages 365-395, July.
  • Handle: RePEc:red:issued:v:3:y:2000:i:3:p:365-395
    DOI: 10.1006/redy.2000.0098
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1006/redy.2000.0098
    File Function: Full text
    Download Restriction: Access to full texts is restricted to ScienceDirect subscribers and ScienceDirect institutional members. See http://www.sciencedirect.com/ for details.

    File URL: https://libkey.io/10.1006/redy.2000.0098?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. Bewley, Truman, 1980. "The permanent income hypothesis and short-run price stability," Journal of Economic Theory, Elsevier, vol. 23(3), pages 323-333, December.
    2. Bewley, Truman F., 1980. "The permanent income hypothesis and long-run economic stability," Journal of Economic Theory, Elsevier, vol. 22(3), pages 377-394, June.
    3. Milton Friedman, 1957. "A Theory of the Consumption Function," NBER Books, National Bureau of Economic Research, Inc, number frie57-1, June.
    4. de Oliveira Sotomayor, Marilda A., 1984. "On income fluctuations and capital gains," Journal of Economic Theory, Elsevier, vol. 32(1), pages 14-35, February.
    5. Bewley, Truman, 1983. "A Difficulty with the Optimum Quantity of Money," Econometrica, Econometric Society, vol. 51(5), pages 1485-1504, September.
    6. Bewley, Truman, 1977. "The permanent income hypothesis: A theoretical formulation," Journal of Economic Theory, Elsevier, vol. 16(2), pages 252-292, December.
    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. Schechtman, Jack, 1976. "An income fluctuation problem," Journal of Economic Theory, Elsevier, vol. 12(2), pages 218-241, April.
    9. Schechtman, Jack & Escudero, Vera L. S., 1977. "Some results on "an income fluctuation problem"," Journal of Economic Theory, Elsevier, vol. 16(2), pages 151-166, December.
    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. repec:cvs:starer:8415 is not listed on IDEAS
    2. Rampini, Adriano A. & Viswanathan, S., 2018. "Financing Insurance," CEPR Discussion Papers 12855, C.E.P.R. Discussion Papers.
    3. S. Viswanathan & Adriano Rampini, 2013. "Household risk management," 2013 Meeting Papers 647, Society for Economic Dynamics.
    4. Benhabib, Jess & Bisin, Alberto & Zhu, Shenghao, 2015. "The wealth distribution in Bewley economies with capital income risk," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 489-515.
    5. 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.
    6. Samuel Gil Martín, 2012. "Liquidity, Welfare and Distribution," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 59(2), pages 217-234, May.
    7. Jess Benhabib & Alberto Bisin & Shenghao Zhu, 2014. "The Wealth Distribution in Bewley Models with Investment Risk," NBER Working Papers 20157, National Bureau of Economic Research, Inc.
    8. Huggett, Mark, 1997. "The one-sector growth model with idiosyncratic shocks: Steady states and dynamics," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 385-403, August.
    9. Robert H. Topel & Finis Welch, 1986. "Efficient Labor Contracts with Employment Risk," RAND Journal of Economics, The RAND Corporation, vol. 17(4), pages 490-507, Winter.
    10. Carl E. Walsh, 1985. "Borrowing Restrictions and Wealth Constraints: Implications for Aggregate Consumption," NBER Working Papers 1629, National Bureau of Economic Research, Inc.
    11. David K. Levine & William R. Zame, 2002. "Does Market Incompleteness Matter?," Econometrica, Econometric Society, vol. 70(5), pages 1805-1839, September.
    12. Shenghao Zhu, 2020. "Existence Of Stationary Equilibrium In An Incomplete‐Market Model With Endogenous Labor Supply," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(3), pages 1115-1138, August.
    13. Lehrer, Ehud & Light, Bar, 2018. "The effect of interest rates on consumption in an income fluctuation problem," Journal of Economic Dynamics and Control, Elsevier, vol. 94(C), pages 63-71.
    14. Bar Light, 2018. "Precautionary Saving in a Markovian Earnings Environment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 29, pages 138-147, July.
    15. Klaus Schmidt-Hebbel & Luis Servén, 1998. "World saving: trends and theories," Estudios de Economia, University of Chile, Department of Economics, vol. 25(2 Year 19), pages 191-215, December.
    16. Epper, Thomas, 2015. "Income Expectations, Limited Liquidity, and Anomalies in Intertemporal Choice," Economics Working Paper Series 1519, University of St. Gallen, School of Economics and Political Science.
    17. Schmidt-Hebbel, K. & Serven, L., 1997. "Saving Across the World: Puzzles and Policies," World Bank - Discussion Papers 354, World Bank.
    18. Mr. Martin Sommer & Mr. Christopher Carroll & Mr. Jiri Slacalek, 2012. "Dissecting Saving Dynamics: Measuring Wealth, Precautionary, and Credit Effects," IMF Working Papers 2012/219, International Monetary Fund.
    19. 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.
    20. Borys Grochulski & Yuzhe Zhang, 2013. "Saving for Retirement with Job Loss Risk," Economic Quarterly, Federal Reserve Bank of Richmond, issue 1Q, pages 45-81.
    21. Toda, Alexis Akira, 2019. "Wealth distribution with random discount factors," Journal of Monetary Economics, Elsevier, vol. 104(C), pages 101-113.

    More about this item

    Keywords

    uncertainty; consumption; permanent income hypothesis;
    All these keywords.

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

    Lists

    This item is featured on the following reading lists, Wikipedia, or ReplicationWiki pages:
    1. Recursive Macroeconomic Theory

    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:red:issued:v:3:y:2000:i:3:p:365-395. 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: . General contact details of provider: https://edirc.repec.org/data/sedddea.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 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: Christian Zimmermann (email available below). General contact details of provider: https://edirc.repec.org/data/sedddea.html .

    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.