\begin{equation} \label{BSedet}
	\frac{\partial V(S,t)}{\partial t} + \frac{1}{2}\sigma^2 S^2\frac{\partial^2 V(S,t)}{\partial S^2} + rS\frac{\partial V(S,t)}{\partial S} - r V(S,t) = 0,  \hspace{0.5cm} S \in (0,\infty),\, t\in [0,T],
\end{equation}
