Controlling the risky fraction process with an ergodic criterion
This article examines a tracking problem, similar to the one presented in Pliska and Suzuki (Quantitative Finance, 2004): an investor would keep constant proportions of her wealth in different assets if markets were frictionless; however, in the presence of fixed and proportional transaction costs her implementation problem is to keep asset proportions close to the target levels whilst avoiding too much intervention costs. Instead of minimizing discounted tracking error plus transaction costs over an infinite horizon, the optimization objective here is minimization of long run tracking error plus intervention costs per unit time. This ergodic problem is treated via combining basic tools from diffusion theory and nonlinear optimization techniques. A comparative sensitivity analysis of the ergodic and discounted problems is undertaken.
|Date of creation:||10 Oct 2006|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +30 831 77405
Fax: +30 831 77406
Web page: http://economics.soc.uoc.gr/
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.:
- Stanley Pliska & Kiyoshi Suzuki, 2004. "Optimal tracking for asset allocation with fixed and proportional transaction costs," Quantitative Finance, Taylor & Francis Journals, vol. 4(2), pages 233-243.
- Cadenillas, Abel & Zapatero, Fernando, 1999. "Optimal Central Bank Intervention in the Foreign Exchange Market," Journal of Economic Theory, Elsevier, vol. 87(1), pages 218-242, July.
- Yuming Li, 1993. "Growth-Security Investment Strategy for Long and Short Runs," Management Science, INFORMS, vol. 39(8), pages 915-924, August.
- Dorsey, Robert E & Mayer, Walter J, 1995.
"Genetic Algorithms for Estimation Problems with Multiple Optima, Nondifferentiability, and Other Irregular Features,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 13(1), pages 53-66, January.
- Michael B. Gordy, . "GA.M: A Matlab routine for function maximization using a Genetic Algorithm," Matlab codes ga, , revised 12 Feb 1996.
- L.C.G. Rogers, 2001. "The relaxed investor and parameter uncertainty," Finance and Stochastics, Springer, vol. 5(2), pages 131-154.
- Luis Alvarez & Jukka Virtanen, 2006. "A class of solvable stochastic dividend optimization problems: on the general impact of flexibility on valuation," Economic Theory, Springer, vol. 28(2), pages 373-398, 06.
- Jose M. Plehn-Dujowich, 2005. "The Optimality of a Control Band Policy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(4), pages 877-901, October.
- Sid Browne, 2000. "Risk-Constrained Dynamic Active Portfolio Management," Management Science, INFORMS, vol. 46(9), pages 1188-1199, September.
- 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.
- repec:spr:compst:v:50:y:1999:i:3:p:493-518 is not listed on IDEAS
When requesting a correction, please mention this item's handle: RePEc:crt:wpaper: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: (Kostis Pigounakis)
If references are entirely missing, you can add them using this form.