||The aim of this unit is to provide students with a thorough understanding of some standard financial models from a mathematical perspective. Many of the greatest innovations in finance have been mathematical in nature and it is our aim to study the models along those lines. Specifically, we will concern ourselves with portfolio theory, CAPM, fundamental theorems of asset pricing and derivative valuation through the Black-Scholes and binomial models. Though some topics may appear familiar from previous courses, we will undertake a more quantitative approach to these models, starting from first principles, which will provide a greater depth of understanding. While the background mathematics will be taught as part of this unit, students are expected to be competent with basic mathematics.