The Finite Element Method is a well-studied and well-understood method of solving partial differential equations. It's applicability to financial models formulated as PDEs is demonstrated. It's advantage concerning the computation of accurate "Greeks" is delineated. This is demonstrated with...

This paper studies polar sets of anisotropic Gaussian random elds, i.e. sets which a Gaussian random eld does not hit almost surely. The main assumptions are that the eigenvalues of the covariance matrix are bounded from below and that the canonical metric associated with the Gaussian random eld...

We are concerned with the valuation of European options in Heston's stochastic volatility model with correlation. Based on Mellin transforms we present new closed-form solutions for the price of European options and hedging parameters. In contrast to Fourier-based approaches where the...