A closed-form solution to the continuous-time consumption model with endogenous labor income
In this paper, we study an intertemporal maximization problem of an infinitely-lived individual who faces both labor income and asset return uncertainty. Given the growth rate of wage, the uncertainty of labor income is caused by the stochastic labor supply which is to be determined upon the available market information. Closed forms of consumption, labor supply and portfolio are obtained analytically by means of the martingale method. The Euler equation under uncertainty is established.
|Date of creation:||Sep 2007|
|Contact details of provider:|| Postal: School of Economics and Finance, University of St. Andrews, Fife KY16 9AL|
Phone: 01334 462420
Fax: 01334 462438
Web page: http://crieff.wordpress.com/
More information through EDIRC
References listed on IDEAS
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.:
- Mason, R. & Wright, S., 1999.
"The effects of uncertainty on optimal consumption,"
Discussion Paper Series In Economics And Econometrics
9907, Economics Division, School of Social Sciences, University of Southampton.
- Chang,Fwu-Ranq, 2004.
"Stochastic Optimization in Continuous Time,"
Cambridge University Press, number 9780521834063, October.
- Pitchford, John, 1991. "Optimum responses of the current account when income is uncertain," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 285-296, April.
- Toche, Patrick, 2005. "A tractable model of precautionary saving in continuous time," Economics Letters, Elsevier, vol. 87(2), pages 267-272, May.
- Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
When requesting a correction, please mention this item's handle: RePEc:san:crieff:0710. 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: (the School of Economics)
If references are entirely missing, you can add them using this form.