Charalambous, K and Sophocleous, C and O'Hara, JG and Leach, PGL (2015) A deductive approach to the solution of the problem of optimal pairs trading from the viewpoint of stochastic control with time‐dependent parameters. Mathematical Methods in the Applied Sciences, 38 (17). pp. 4448-4460. DOI https://doi.org/10.1002/mma.3383
Charalambous, K and Sophocleous, C and O'Hara, JG and Leach, PGL (2015) A deductive approach to the solution of the problem of optimal pairs trading from the viewpoint of stochastic control with time‐dependent parameters. Mathematical Methods in the Applied Sciences, 38 (17). pp. 4448-4460. DOI https://doi.org/10.1002/mma.3383
Charalambous, K and Sophocleous, C and O'Hara, JG and Leach, PGL (2015) A deductive approach to the solution of the problem of optimal pairs trading from the viewpoint of stochastic control with time‐dependent parameters. Mathematical Methods in the Applied Sciences, 38 (17). pp. 4448-4460. DOI https://doi.org/10.1002/mma.3383
Abstract
<jats:p>In a fairly recent paper (2008 American Control Conference, June 11‐13, 1035‐1039), the problem of dealing with trading in optimal pairs was treated from the viewpoint of stochastic control. The analysis of the subsequent nonlinear evolution partial differential equation was based upon a succession of Ansätze, which can lead to a solution of the terminal‐value problem. Through an application of the Lie Theory of Continuous Groups to this equation, we show that the Ansätze are based upon the underlying symmetries of the equation (their (14)). We solve the problem in a more general context by allowing the parameters to be explicitly time dependent. The extension means thatmore realistic problems are amenable to the samemode of solution. Copyright © 2014 JohnWiley & Sons, Ltd.</jats:p>
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Lie symmetries; stochastic control; financial mathematics; evolution partial differential equations |
| Subjects: | H Social Sciences > HG Finance Q Science > QA Mathematics |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 15 May 2015 15:37 |
| Last Modified: | 11 Sep 2023 23:58 |
| URI: | http://repository.essex.ac.uk/id/eprint/13704 |