David Stump Senior Quantitative Analyst IMS, National Australia Bank Modelling issues in Financial Mathematics Wednesday 14th September 14:05-14:55pm, Carslaw Building Room 373. This talk concerns two distinct problems. First, some recent work on the random Fourier series distribution that arises during the Milstein integration of systems of stochastic equations. Fourier series methods lead to an elegant application of the theory of orthogonal polynomials and the Mittag-Leffler expansion theorem to derive a series representation of this distribution. Second, a more practical inverse problem in the FX option's market is described. This is a decidely pragmatic problem which illustrates the limitations of mathematical methods.