We will see how one basic idea, price equals expected discounted payoff, unites everything - models that describe stocks, bonds, options, real investments, discrete time, continuous time, asset pricing, portfolio theory, and so forth.
In this part I, we’ll quickly learn or review time-series in continuous and discrete time. We'll look at some basic facts. Then we’ll start with the underlying consumption-based model, and we’ll preview some classic issues in finance. That outlines the big ideas of the whole class. Then, we'll take a step back and study contingent claims and the theorems showing the existence of a discount factor (the m in p=E(mx)). We'll explore the mean-variance frontier and expected return vs. beta models and factor structures. We will study the classic linear models — CAPM, APT, ICAPM. We will learn how to use GMM to estimate and evaluate asset pricing models, as well as the classic regression tests. This paves the way for Part 2 which focuses on applications and empirical evaluation.
The math in real, academic, finance is not actually that hard. Understanding how to use the equations, and see what they really mean about the world... that's hard, and that's what I hope will be uniquely rewarding about this class.