IDEAS home Printed from https://ideas.repec.org/p/uts/rpaper/300.html
   My bibliography  Save this paper

Estimating Consumption Plans for Recursive Utility by Maximum Entropy Methods

Author

Listed:
  • Stephen Satchell

    (Trinity College, University of Cambridge)

  • Susan Thorp

    (University of Sydney)

  • Oliver Williams

    (Scalpel Research and Kings College, University of Cambridge)

Abstract

We derive and estimate the optimal disbursement from an infinitely-lived charitable trust with an Epstein-Zin-Weil utility function, given general Markovian returns to wealth. We analyze two special cases: where spending is a power function of last period's wealth and the endowment uses 'payout smoothing'. Via nonlinear least squares, we estimate the optimal spending rate and the elasticity of intertemporal substitution for a trust with a typical diversified portfolio and for a portfolio of hedge funds. Finally, we use maximum entropy methods to characterize the returns distribution of a trust whose spending plan conforms with the optimality condition.

Suggested Citation

  • Stephen Satchell & Susan Thorp & Oliver Williams, 2012. "Estimating Consumption Plans for Recursive Utility by Maximum Entropy Methods," Research Paper Series 300, Quantitative Finance Research Centre, University of Technology, Sydney.
  • Handle: RePEc:uts:rpaper:300
    as

    Download full text from publisher

    File URL: https://www.uts.edu.au/sites/default/files/qfr-archive-03/QFR-rp300.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Jeffrey R. Brown & Stephen G. Dimmock & Jun-Koo Kang & Scott J. Weisbenner, 2014. "How University Endowments Respond to Financial Market Shocks: Evidence and Implications," American Economic Review, American Economic Association, vol. 104(3), pages 931-962, March.
    2. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    3. Tobin, James, 1974. "What Is Permanent Endowment Income?," American Economic Review, American Economic Association, vol. 64(2), pages 427-432, May.
    4. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, Oxford University Press, vol. 105(1), pages 29-42.
    5. Zellner, Arnold & Highfield, Richard A., 1988. "Calculation of maximum entropy distributions and approximation of marginalposterior distributions," Journal of Econometrics, Elsevier, vol. 37(2), pages 195-209, February.
    6. L. Gy├Ârfi & I. Vajda & E. Meulen, 1996. "Minimum kolmogorov distance estimates of parameters and parametrized distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 43(1), pages 237-255, December.
    7. Wu, Ximing, 2003. "Calculation of maximum entropy densities with application to income distribution," Journal of Econometrics, Elsevier, vol. 115(2), pages 347-354, August.
    8. Golan, Amos & Judge, George G. & Miller, Douglas, 1996. "Maximum Entropy Econometrics," Staff General Research Papers Archive 1488, Iowa State University, Department of Economics.
    9. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-969, July.
    10. Isabelle Huault & V. Perret & S. Charreire-Petit, 2007. "Management," Post-Print halshs-00337676, HAL.
    11. Josh Lerner & Antoinette Schoar & Wan Wongsunwai, 2007. "Smart Institutions, Foolish Choices: The Limited Partner Performance Puzzle," Journal of Finance, American Finance Association, vol. 62(2), pages 731-764, April.
    12. Singleton, Kenneth J., 1988. "Econometric issues in the analysis of equilibrium business cycle models," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 361-386.
    13. Nichols, Donald A, 1974. "The Investment Income Formula of the American Economic Association," American Economic Review, American Economic Association, vol. 64(2), pages 420-426, May.
    14. Martin S. Eichenbaum & Lars Peter Hansen & Kenneth J. Singleton, 1988. "A Time Series Analysis of Representative Agent Models of Consumption and Leisure Choice Under Uncertainty," The Quarterly Journal of Economics, Oxford University Press, vol. 103(1), pages 51-78.
    15. Bhamra, Harjoat S. & Uppal, Raman, 2006. "The role of risk aversion and intertemporal substitution in dynamic consumption-portfolio choice with recursive utility," Journal of Economic Dynamics and Control, Elsevier, vol. 30(6), pages 967-991, June.
    16. Getmansky, Mila & Lo, Andrew W. & Makarov, Igor, 2004. "An econometric model of serial correlation and illiquidity in hedge fund returns," Journal of Financial Economics, Elsevier, vol. 74(3), pages 529-609, December.
    17. Rockinger, Michael & Jondeau, Eric, 2002. "Entropy densities with an application to autoregressive conditional skewness and kurtosis," Journal of Econometrics, Elsevier, pages 119-142.
    18. Stephen G. Dimmock, 2012. "Background Risk and University Endowment Funds," The Review of Economics and Statistics, MIT Press, vol. 94(3), pages 789-799, August.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Intertemporal choice; Elasticity of intertemporal substitution; Moving average;

    JEL classification:

    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:uts:rpaper:300. 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: (Duncan Ford). General contact details of provider: http://edirc.repec.org/data/qfutsau.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.