\(\ds dV=\frac{72}{\pi^2}\text{.}\) Observe that \(\ds dr=\frac{1}{8\pi}\text{.}\) Observe that \(\Delta A=A(s+\Delta s)-A(s)=2s\Delta s+(\Delta s)^2\) and \(dA=2s ...

The bisection method is useful only up to a point. In order to get good accuracy we must do a relatively large number of iterations. This is even more of a problem if many roots are to be found. A ...

The variational inequality formulation provides a mechanism for determining both the option value and the early exercise curve implicitly (Jaillet, Lamberton and Lapeyre, 1990). Standard ...