| Stock Trading |
The buying and selling of shares of publicly traded companies |
Surface |
| Options |
Financial instruments that give the buyer the right, but not the obligation, to buy or sell an asset at a predetermined price |
Surface |
| Bonds |
Debt securities issued by entities to raise capital, with a promise to pay back with interest |
Surface |
| Forex |
The market for trading foreign currencies |
Surface |
| Black-Scholes |
A mathematical model for pricing options |
Basic |
| CAPM |
Capital Asset Pricing Model, used to determine the expected return on an asset |
Basic |
| Arbitrage |
The practice of taking advantage of price differences in different markets |
Basic |
| Greeks |
Risk measures for options, including Delta, Gamma, Theta, Vega, and Rho |
Basic |
| Stochastic Calculus |
A branch of mathematics used to model random processes |
Intermediate |
| Monte Carlo |
A statistical technique using random sampling to approximate solutions |
Intermediate |
| Volatility Smile |
A pattern in which options with different strike prices have different implied volatilities |
Intermediate |
| Ito's Lemma |
A key result in stochastic calculus used in the derivation of the Black-Scholes equation |
Advanced |
| Brownian Motion |
A continuous-time stochastic process used to model random movements |
Advanced |
| Martingales |
A class of stochastic processes with specific properties useful in financial modeling |
Advanced |
| HJM |
Heath-Jarrow-Morton framework, a model for the evolution of interest rates |
Advanced |
| Malliavin Calculus |
A branch of mathematics providing tools for differentiating stochastic processes |
Expert |
| Levy Processes |
Stochastic processes with stationary independent increments |
Expert |
| Rough Volatility |
A recent development in financial modeling that captures roughness in volatility paths |
Expert |