Optimal consumption and investment under time-varying relative risk aversion
AbstractWe consider the continuous time consumption-investment problem originally formalized and solved by Merton in case of constant relative risk aversion. We present a complete solution for the case where relative risk aversion with respect to consumption varies with time, having in mind an investor with age-dependent risk aversion. This provides a new motivation for life-cycle investment rules. We study the optimal consumption and investment rules, in particular in the case where the relative risk aversion with respect to consumption is increasing with age.
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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Dynamics and Control.
Volume (Year): 35 (2011)
Issue (Month): 5 (May)
Contact details of provider:
Web page: http://www.elsevier.com/locate/jedc
Merton's problem Hamilton-Jacobi-Bellman equation Marginal indirect utility Life-cycle investment;
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.:
- Li, George, 2007. "Time-varying risk aversion and asset prices," Journal of Banking & Finance, Elsevier, vol. 31(1), pages 243-257, January.
- Aase, Knut K., 2009. "The investment horizon problem: A resolution," Discussion Papers 2009/7, Department of Business and Management Science, Norwegian School of Economics.
- Markus K. Brunnermeier & Stefan Nagel, 2008. "Do Wealth Fluctuations Generate Time-Varying Risk Aversion? Micro-evidence on Individuals," American Economic Review, American Economic Association, vol. 98(3), pages 713-36, June.
- Horace Ho, 2009. "An Experimental Study of Risk Aversion in Decision-making Under Uncertainty," International Advances in Economic Research, Springer, vol. 15(4), pages 369-377, November.
- 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.
- 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.
- Munk, Claus, 2008. "Portfolio and consumption choice with stochastic investment opportunities and habit formation in preferences," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3560-3589, November.
- Blake, David & Wright, Douglas & Zhang, Yumeng, 2013.
"Target-driven investing: Optimal investment strategies in defined contribution pension plans under loss aversion,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 37(1), pages 195-209.
- Blake, David & Wright, Douglas & Zhang, Yumeng, 2011. "Target-driven investing: Optimal investment strategies in defined contribution pension plans under loss aversion," MPRA Paper 34278, University Library of Munich, Germany.
- Marekwica, Marcel & Schaefer, Alexander & Sebastian, Steffen, 2013. "Life cycle asset allocation in the presence of housing and tax-deferred investing," Journal of Economic Dynamics and Control, Elsevier, vol. 37(6), pages 1110-1125.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wendy Shamier).
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 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.