dc.contributor.author | Charalambous, Kyriakos | en |
dc.contributor.author | Sophocleous, Christodoulos | en |
dc.contributor.author | O'Hara, John G. | en |
dc.contributor.author | Leach, Peter G. L. | en |
dc.creator | Charalambous, Kyriakos | en |
dc.creator | Sophocleous, Christodoulos | en |
dc.creator | O'Hara, John G. | en |
dc.creator | Leach, Peter G. L. | en |
dc.date.accessioned | 2019-12-02T10:34:17Z | |
dc.date.available | 2019-12-02T10:34:17Z | |
dc.date.issued | 2015 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56592 | |
dc.description.abstract | 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 John Wiley & Sons, Ltd. | en |
dc.source | Mathematical Methods in the Applied Sciences | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84955399072&doi=10.1002%2fmma.3383&partnerID=40&md5=84015888c0e2396cccd6d25db2287931 | |
dc.subject | Problem solving | en |
dc.subject | Commerce | en |
dc.subject | Differential equations | en |
dc.subject | Stochastic control systems | en |
dc.subject | Stochastic systems | en |
dc.subject | Partial differential equations | en |
dc.subject | Nonlinear equations | en |
dc.subject | Lie symmetries | en |
dc.subject | evolution partial differential equations | en |
dc.subject | financial mathematics | en |
dc.subject | Lie groups | en |
dc.subject | stochastic control | en |
dc.subject | Subclass 35K05 60H05 91G80 | en |
dc.title | A deductive approach to the solution of the problem of optimal pairs trading from the viewpoint of stochastic control with time-dependent parameters | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1002/mma.3383 | |
dc.description.volume | 38 | |
dc.description.issue | 17 | |
dc.description.startingpage | 4448 | |
dc.description.endingpage | 4460 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.source.abbreviation | Math.Methods Appl.Sci. | en |
dc.contributor.orcid | Sophocleous, Christodoulos [0000-0001-8021-3548] | |
dc.gnosis.orcid | 0000-0001-8021-3548 | |