Module 1: Interest Rates and Annuities
compound interest and annuities
discounted cash flow valuation
interest rate securities
investment analysis
the term structure of interest rates
stochastic models for investment returns
Module 2: Options and the Black-Scholes Model
options
(very preliminary) mathematical foundation of option pricing
arbitrage
replication
fundamental theorems of asset pricing (risk-neutral pricing)
Black-Scholes (BS) model
model
derivation of the BS PDE
solution
Module 3: Portfolio Optimisation
Risk Measure
Trade-off between return and risk
Efficient Frontier
Mean-Variance portfolio optimisation