Time value of money
Bonds, mortgages, and annuities
Duration, convexity, and immunization
Yield curve, forward rate, and spot rate
Option pricing theory and its wide-ranging applications
Black-Scholes analysis
binomial option pricing model (BOPM)
Futures, forwards, and other derivatives
The combinatorics of random walks
Martingale, Brownian motion, stochastic calculus, and Ito integral
Risk-neutral valuationRisk management
Fixed-income securities with embedded options and interest rate derivatives
Mortgage-backed securities (MBS)
Numerical methodsMonte
Carlo methods
Variance reduction (efficiency-improving) techniques
Quasi-Monte Carlo method
Solving partial differential equations
Yield curve fitting
Interest rate models and calibration