eprintid: 16580 rev_number: 10 eprint_status: archive userid: 3393 dir: disk0/00/01/65/80 datestamp: 2023-02-02 11:21:38 lastmod: 2023-02-02 11:21:38 status_changed: 2023-02-02 11:21:38 type: conference_item metadata_visibility: show creators_name: Edeki, S.O. creators_name: Fadugba, S. E title: Solution of a barrier option Black-Scholes model based on projected differential transformation method ispublished: pub subjects: Q1 subjects: QA divisions: sch_mat full_text_status: public pres_type: paper keywords: Option pricing; Black-Scholes equation; Differential model, Barrier option; closed-form solution abstract: In this article, the solution of the linear variant of a Barrier Option Black-Scholes Model (BOBSM) is considered via a semi-analytical approach referred to as the Projected Differential Transformation Method (PDTM). Similar to the traditional Differential Transformation Method, this new approach demonstrates feasible progress and efficiency of operation. For simplicity of illustrative, the BOBSM is converted to an equivalent heat-like form, and a series-form of the solution (root) is successfully obtained. Hence the PDTM is suggested for both pure and functional sciences for strongly nonlinear differential models with financial applications. date: 2020 date_type: published event_title: International Conference on Recent Trends in Applied Research (ICoRTAR) event_type: conference refereed: TRUE citation: Edeki, S.O. and Fadugba, S. E (2020) Solution of a barrier option Black-Scholes model based on projected differential transformation method. In: International Conference on Recent Trends in Applied Research (ICoRTAR). document_url: http://eprints.covenantuniversity.edu.ng/16580/1/Edeki_2021_J._Phys.%20_Conf._Ser._1734_012054.pdf