Estimating Consumption Plans for Recursive Utility by Maximum Entropy Methods
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.
|Date of creation:||01 Jan 2012|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +61 2 9514 7777
Fax: +61 2 9514 7711
Web page: http://www.qfrc.uts.edu.au/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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, 04.
- Josh Lerner & Antoinette Schoar & Wan Wong, 2005. "Smart Institutions, Foolish Choices? The Limited Partner Performance Puzzle," NBER Working Papers 11136, National Bureau of Economic Research, Inc.
- 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.
- Bhamra, Harjoat S. & Uppal, Raman, 2005. "The Role of Risk Aversion and Intertemporal Substitution in Dynamic Consumption-Portfolio Choicewith Recursive Utility," CEPR Discussion Papers 5020, C.E.P.R. Discussion Papers.
- Golan, Amos & Judge, George G. & Miller, Douglas, 1996. "Maximum Entropy Econometrics," Staff General Research Papers 1488, Iowa State University, Department of Economics.
- Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
- Mila Getmansky & Andrew W. Lo & Igor Makarov, 2003.
"An Econometric Model of Serial Correlation and Illiquidity in Hedge Fund Returns,"
NBER Working Papers
9571, National Bureau of Economic Research, Inc.
- 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.
- Getmansky, Mila & Lo, Andrew & Makarov, Igor, 2003. "An Econometric Model of Serial Correlation and Illiquidity In Hedge Fund Returns," Working papers 4288-03, Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Weil, Philippe, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, MIT Press, vol. 105(1), pages 29-42, February.
- Rockinger, Michael & Jondeau, Eric, 2002.
"Entropy densities with an application to autoregressive conditional skewness and kurtosis,"
Journal of Econometrics,
Elsevier, vol. 106(1), pages 119-142, January.
- Rockinger, M. & Jondeau, E., 2001. "Entropy Densities: with an Application to Autoregressive Conditional Skewness and Kurtosis," Working papers 79, Banque de France.
- Tobin, James, 1974. "What Is Permanent Endowment Income?," American Economic Review, American Economic Association, vol. 64(2), pages 427-32, May.
- 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.
- 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.
- Eichenbaum, Martin S & Hansen, Lars Peter & Singleton, Kenneth J, 1988.
"A Time Series Analysis of Representative Agent Models of Consumption and Leisure Choice under Uncertainty,"
The Quarterly Journal of Economics,
MIT Press, vol. 103(1), pages 51-78, February.
- Martin S. Eichenbaum & Lars Peter Hansen & Kenneth J. Singleton, 1986. "A Time Series Analysis of Representative Agent Models of Consumption andLeisure Choice Under Uncertainty," NBER Working Papers 1981, National Bureau of Economic Research, Inc.
- L. Györfi & I. Vajda & E. Meulen, 1996. "Minimum kolmogorov distance estimates of parameters and parametrized distributions," Metrika, Springer, vol. 43(1), pages 237-255, December.
- 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.
- 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 937-69, July.
- Jeffrey Brown & Stephen G. Dimmock & Jun-Koo Kang & Scott Weisbenner, 2010.
"How University Endowments Respond to Financial Market Shocks: Evidence and Implications,"
NBER Working Papers
15861, National Bureau of Economic Research, Inc.
- 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 931-62, March.
- Wu, Ximing, 2003. "Calculation of maximum entropy densities with application to income distribution," Journal of Econometrics, Elsevier, vol. 115(2), pages 347-354, August.
- Nichols, Donald A, 1974. "The Investment Income Formula of the American Economic Association," American Economic Review, American Economic Association, vol. 64(2), pages 420-26, May.
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)
If references are entirely missing, you can add them using this form.