Consumption and portfolio rules for time-inconsistent investors
AbstractThis paper extends the classical consumption and portfolio rules model in continuous time [Merton, R.C., 1969. Lifetime portfolio selection under uncertainty: The continuous time case. Review of Economics and Statistics 51, 247-257, Merton, R.C., 1971. Optimum consumption and portfolio rules in a continuous time model. Journal of Economic Theory 3, 373-413] 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 power utilities) 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.
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 InfoArticle provided by Elsevier in its journal European Journal of Operational Research.
Volume (Year): 201 (2010)
Issue (Month): 3 (March)
Contact details of provider:
Web page: http://www.elsevier.com/locate/eor
Finance Consumption and portfolio rules Non-constant discounting Time inconsistency Naive and sophisticated agents Dynamic programming;
Other versions of this item:
- Jesus Marin-Solano & Jorge Navas, 2009. "Consumption and Portfolio Rules for Time-Inconsistent Investors," Papers 0901.2484, arXiv.org, revised Mar 2009.
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.:
- Steven R. Grenadier & Neng Wang, 2006.
"Investment Under Uncertainty and Time-Inconsistent Preferences,"
NBER Working Papers
12042, National Bureau of Economic Research, Inc.
- 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.
- Grenadier, Steven R. & Wang, Neng, 2005. "Investment under Uncertainty and Time-Inconsistent Preferences," Research Papers 1899, Stanford University, Graduate School of Business.
- Christopher Harris & David Laibson, 2001.
Levine's Working Paper Archive
625018000000000267, David K. Levine.
- 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.
- 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.
- 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.
- 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, 2005. "Non-Constant Discounting in Continuous Time," Institute for Research on Labor and Employment, Working Paper Series qt0nn1t22z, Institute of Industrial Relations, 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.
- Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
- 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.
- 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.
- Laibson, David I., 1997.
"Golden Eggs and Hyperbolic Discounting,"
4481499, Harvard University Department of Economics.
- 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.
- Marín-Solano, Jesús & Navas, Jorge & Roch, Oriol, 2013. "Non-constant discounting and consumption, portfolio and life insurance rules," Economics Letters, Elsevier, vol. 119(2), pages 186-190.
- Schendel, Lorenz S., 2014. "Consumption-investment problems with stochastic mortality risk," SAFE Working Paper Series 43, Research Center SAFE - Sustainable Architecture for Finance in Europe, Goethe University Frankfurt.
- Traian Pirvu & Huayue Zhang, 2013. "Investment and Consumption with Regime-Switching Discount Rates," Papers 1303.1248, arXiv.org.
- Albert de-Paz & Jesus Marin-Solano & Jorge Navas & Oriol Roch, 2012.
"Consumption, investment and life insurance strategies with heterogeneous discounting,"
Working Papers in Economics
277, Universitat de Barcelona. Espai de Recerca en Economia.
- de-Paz, Albert & Marín-Solano, Jesús & Navas, Jorge & Roch, Oriol, 2014. "Consumption, investment and life insurance strategies with heterogeneous discounting," Insurance: Mathematics and Economics, Elsevier, vol. 54(C), pages 66-75.
- Haruvy, Ernan E. & Li, Tao & Sethi, Suresh P., 2012. "Two-stage pricing for custom-made products," European Journal of Operational Research, Elsevier, vol. 219(2), pages 405-414.
- Matsui, Kenji, 2010. "Returns policy, new model introduction, and consumer welfare," International Journal of Production Economics, Elsevier, vol. 124(2), pages 299-309, April.
- de-Paz, Albert & Marín-Solano, Jesús & Navas, Jorge, 2013. "A consumption–investment problem with heterogeneous discounting," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 221-232.
- Zeng, Yan & Li, Zhongfei & Lai, Yongzeng, 2013. "Time-consistent investment and reinsurance strategies for mean–variance insurers with jumps," Insurance: Mathematics and Economics, Elsevier, vol. 52(3), pages 498-507.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If references are entirely missing, you can add them using this form.