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Monte Carlo simulation is one of the most important numerical methods in financial derivative pricing and risk management. Due to the increasing sophistication of exotic derivative models, Monte Carlo becomes the method of choice for numerical implementations because of its flexibility in high-dimensional problems. However, the method of discretization of the underlying stochastic differential equation (SDE) has a significant effect on convergence. In addition the choice of computing platform and the exploitation of parallelism offers further efficiency gains. We consider here the effect of higher order discretization methods together with the possibilities opened up by the advent of programmable graphics processing units (GPUs) on the overall performance of Monte Carlo and quasi-Monte Carlo methods.