A Terminal Condition in Linear Bond‑pricing Under Symmetry Invariance
| dc.contributor.author | Maphanga, Rivoningo | |
| dc.contributor.author | Jamal, Sameerah | |
| dc.date.accessioned | 2026-09-03T06:28:22Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In this paper, we examine a general bond-pricing model with respect to its solutions that satisfy a given terminal condition. Firstly, we obtain reversible transformations that change the model to a classical and well known partial differential equation, the one dimensional heat equation. We further show that the terminal condition is transformed into a nonsmooth initial condition. The important result that emerges is that the Lie symmetries are adopted to solve the equation subject to its unique configuration of initial conditions. | |
| dc.description.submitter | PM2026 | |
| dc.faculty | Faculty of Science | |
| dc.identifier | 0000-0003-3702-8368 | |
| dc.identifier.citation | Maphanga, R., Jamal, S. A Terminal Condition in Linear Bond-pricing Under Symmetry Invariance. J Nonlinear Math Phys 30, 1295–1304 (2023). https://doi.org/10.1007/s44198-023-00132-6 | |
| dc.identifier.issn | 1402-9251 (print) | |
| dc.identifier.other | 10.1007/s44198-023-00132-6 | |
| dc.identifier.uri | https://hdl.handle.net/10539/49965 | |
| dc.journal.title | Journal of Nonlinear Mathematical Physics | |
| dc.language.iso | en | |
| dc.publisher | Springer Nature | |
| dc.relation.ispartofseries | Vol. 30; Issue 3 | |
| dc.rights | © The Author(s) 2023. | |
| dc.school | School of Mathematics | |
| dc.subject | Bond-pricing | |
| dc.subject | Lie symmetries | |
| dc.subject | Heat equation | |
| dc.subject | Boundary conditions | |
| dc.subject.primarysdg | SDG-8: Decent work and economic growth | |
| dc.subject.secondarysdg | SDG-17: Partnerships for the goals | |
| dc.title | A Terminal Condition in Linear Bond‑pricing Under Symmetry Invariance | |
| dc.type | Article |