Professor of Applied Mathematics
10 West 32nd Street, Chicago, IL 60616 (email)
In this paper we consider a mesh-free radial basis function approach for the valuation of pricing options with non-smooth payouts. By taking advantage of parallel architecture, a strongly stable and highly accurate time-stepping method is developed with computational complexity comparable to the implicit Euler method implemented concurrently on each processor. This, in collusion with the radial basis function approach, provides an efficient and reliable valuation of exotic options, such as American digital options.