Scenario Analysis with Recursive Utility: Dynamic Consumption Plans for Charitable Endowments
AbstractWe determine optimal consumption paths under a series of returns scenarios for charitable endowments with distinct tastes over investment risk and inter-temporal substitution. Charities typically prefer smooth consumption paths but are investment-risk tolerant. Using a recursive, Kreps-Porteus utility function, we model the optimal disbursement from an infinitely-lived charitable trust, then, allowing a general form for the returns density, we apply stochastic dominance relations to estimate income/substitution effects whereby a change in future returns influences the current consumption rate. The elasticity of intertemporal substitution rather than risk aversion is key: optimal consumption rises or falls as the elasticity diverges from one.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Quantitative Finance Research Centre, University of Technology, Sydney in its series Research Paper Series with number 209.
Date of creation: 01 Dec 2007
Date of revision:
recursive utility; stochastic dominance; inter-temporal choice;
Other versions of this item:
- Stephen Satchell & Susan Thorp, 2008. "Scenario Analysis With Recursive Utility: Dynamic Consumption Plans For Charitable Endowments," CAMA Working Papers 2008-03, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
- G00 - Financial Economics - - General - - - General
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D91 - Microeconomics - - Intertemporal Choice - - - Intertemporal Household Choice; Life Cycle Models and Saving
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-02-23 (All new papers)
- NEP-DGE-2008-02-23 (Dynamic General Equilibrium)
- NEP-UPT-2008-02-23 (Utility Models & Prospect Theory)
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.:
- Jorion, Philippe & Giovannini, Alberto, 1993.
"Time-series tests of a non-expected-utility model of asset pricing,"
European Economic Review,
Elsevier, vol. 37(5), pages 1083-1100, June.
- Alberto Giovannini & Philippe Jorion, 1989. "Time-Series Tests of a Non-Expected-Utility Model of Asset Pricing," NBER Working Papers 3195, National Bureau of Economic Research, Inc.
- Smith, William T., 1996. "Feasibility and transversality conditions for models of portfolio choice with non-expected utility in continuous time," Economics Letters, Elsevier, vol. 53(2), pages 123-131, November.
- Kreps, David M & Porteus, Evan L, 1978.
"Temporal Resolution of Uncertainty and Dynamic Choice Theory,"
Econometric Society, vol. 46(1), pages 185-200, January.
- David M Kreps & Evan L Porteus, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Levine's Working Paper Archive 625018000000000009, David K. Levine.
- Merton, Robert C., 1971.
"Optimum consumption and portfolio rules in a continuous-time model,"
Journal of Economic Theory,
Elsevier, vol. 3(4), pages 373-413, December.
- R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
- 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.
- 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.
- 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.
- 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.
- Kingston, Geoffrey, 1988.
"Theoretical Foundations of Constant-Proportion Portfolio Insurance,"
116, University of Sydney, School of Economics.
- Kingston, Geoffrey, 1989. "Theoretical foundations of constant-proportion portfolio insurance," Economics Letters, Elsevier, vol. 29(4), pages 345-347.
- Jonathan Gruber, 2006. "A Tax-Based Estimate of the Elasticity of Intertemporal Substitution," NBER Working Papers 11945, National Bureau of Economic Research, Inc.
- David K. Backus & Bryan R. Routledge & Stanley E. Zin, 2005.
"Exotic Preferences for Macroeconomists,"
in: NBER Macroeconomics Annual 2004, Volume 19, pages 319-414
National Bureau of Economic Research, Inc.
- David Backus & Bryan Routledge & Stanley Zin, 2004. "Exotic Preferences for Macroeconomists," NBER Working Papers 10597, National Bureau of Economic Research, Inc.
- David Backus & Bryan Routledge & Stanley Zin, 2004. "Exotic Preferences for Macroeconomists," Working Papers 04-20, New York University, Leonard N. Stern School of Business, Department of Economics.
- Kreps, David M & Porteus, Evan L, 1979. "Dynamic Choice Theory and Dynamic Programming," Econometrica, Econometric Society, vol. 47(1), pages 91-100, January.
- Weil, Philippe, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, MIT Press, vol. 105(1), pages 29-42, February.
- Tobin, James, 1974. "What Is Permanent Endowment Income?," American Economic Review, American Economic Association, vol. 64(2), pages 427-32, May.
- Dybvig, Philip H, 1995. "Dusenberry's Ratcheting of Consumption: Optimal Dynamic Consumption and Investment Given Intolerance for Any Decline in Standard of Living," Review of Economic Studies, Wiley Blackwell, vol. 62(2), pages 287-313, April.
- 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.
- Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August.
- 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.
- Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-86, April.
- Stephen Satchell & Susan Thorp, 2011. "Uncertain survival and time discounting: intertemporal consumption plans for family trusts," Journal of Population Economics, Springer, vol. 24(1), pages 239-266, January.
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.