Monte Carlo simulation has proved to be a valuable tool for estimating security prices for which closed form solutions do not exist. This thesis evaluate the Quasi-Monte Carlo method that has attractive properties for the numerical valuation of derivatives and examines the use of Monte Carlo simulation with low-discrepancy sequences for valuing derivatives versus the traditional Monte Carlo method using pseudo-random sequences. The relative performance of the methods is evaluated based on three financial securities pricing problems: European call options, rainbow options, and Asian options.