Consumption and Portfolio Rules for Time-Inconsistent Investors
This paper extends the classical consumption and portfolio rules model in continuous time (Merton 1969, 1971) to the framework of decision-makers with time-inconsistent preferences. The model is solved for different utility functions for both, naive and sophisticated agents, and the results are compared. In order to solve the problem for sophisticated agents, we derive a modified HJB (Hamilton-Jacobi-Bellman) equation. It is illustrated how for CRRA functions within the family of HARA functions (logarithmic and potential cases) the optimal portfolio rule does not depend on the discount rate, but this is not the case for a general utility function, such as the exponential (CARA) utility function.
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.:
- Christopher Harris & David Laibson, 2001.
Levine's Working Paper Archive
625018000000000267, David K. Levine.
- Laibson, David I. & Harris, Christopher, 2012. "Instantaneous Gratification," Scholarly Articles 9918802, Harvard University Department of Economics.
- Christopher Harris & David Laibson, 2001. "Instantaneous Gratification," NajEcon Working Paper Reviews 625018000000000267, www.najecon.org.
- Christopher Harris & David Laibson, 2006. "Instantaneous Gratification," Levine's Bibliography 321307000000000635, UCLA Department of Economics.
- Grenadier, Steven R. & Wang, Neng, 2005.
"Investment under Uncertainty and Time-Inconsistent Preferences,"
1899, Stanford University, Graduate School of Business.
- Grenadier, Steven R. & Wang, Neng, 2007. "Investment under uncertainty and time-inconsistent preferences," Journal of Financial Economics, Elsevier, vol. 84(1), pages 2-39, April.
- Steven R. Grenadier & Neng Wang, 2006. "Investment Under Uncertainty and Time-Inconsistent Preferences," NBER Working Papers 12042, National Bureau of Economic Research, Inc.
- 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.
- Tomak, Kerem & Keskin, Tayfun, 2008. "Exploring the trade-off between immediate gratification and delayed network externalities in the consumption of information goods," European Journal of Operational Research, Elsevier, vol. 187(3), pages 887-902, June.
- Karp, Larry, 2004.
"Non-Constant Discounting in Continuous Time,"
Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series
qt7pr05084, Department of Agricultural & Resource Economics, UC Berkeley.
- Karp, Larry, 2004. "Non-constant discounting in continuous time," CUDARE Working Paper Series 0969, University of California at Berkeley, Department of Agricultural and Resource Economics and Policy.
- Karp, Larry, 2005. "Non-Constant Discounting in Continuous Time," Institute for Research on Labor and Employment, Working Paper Series qt0nn1t22z, Institute of Industrial Relations, UC Berkeley.
- Marín-Solano, Jesús & Navas, Jorge, 2009.
"Non-constant discounting in finite horizon: The free terminal time case,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 33(3), pages 666-675, March.
- Jesus Marin Solano & Jorge Navas Rodenes, 2007. "Non-constant discounting in finite horizon: The free terminal time case," Working Papers in Economics 183, Universitat de Barcelona. Espai de Recerca en Economia.
- Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
- R. C. Merton, 1970.
"Optimum Consumption and Portfolio Rules in a Continuous-time Model,"
58, Massachusetts Institute of Technology (MIT), Department of Economics.
- 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.
- Josa-Fombellida, Ricardo & Rincon-Zapatero, Juan Pablo, 2008. "Mean-variance portfolio and contribution selection in stochastic pension funding," European Journal of Operational Research, Elsevier, vol. 187(1), pages 120-137, May.
- Laibson, David I., 1997.
"Golden Eggs and Hyperbolic Discounting,"
4481499, Harvard University Department of Economics.
- Robert J. Barro, 1999. "Ramsey Meets Laibson In The Neoclassical Growth Model," The Quarterly Journal of Economics, MIT Press, vol. 114(4), pages 1125-1152, November.
- Loewenstein, George & Prelec, Drazen, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 573-97, May.
When requesting a correction, please mention this item's handle: RePEc:arx:papers:0901.2484. 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: (arXiv administrators)
If references are entirely missing, you can add them using this form.