Browsing by Author "Kometsi, Relebohile Veronecca"

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    Solving the barrier options model with linear time-dependent volatility by symmetry analysis
    (National University of Lesotho, 2025-07) Kometsi, Relebohile Veronecca; Nchejane, Ngaka John
    This project aims to solve the barrier options model with linear time-dependent volatility, described as a Partial Differential Equation (PDE) using symmetry analysis. The only PDE to be considered will be the Black-Scholes model. Firstly, we use Lie symmetry to find symmetries of our model from our determining equations. Once the symmetries are found, they will b e picked at random to form characteristic equations needed to find invariant solutions. Lastly, the solutions will b e interpreted and graphed.