
The course provides a solid and comprehensive introduction to the applications of computational methods in financial derivative pricing. It covers two important numerical techniques: Monte Carlo simulation and finite differences. Using MATLAB as a means of illustration, the course focuses on developing numerical problem-solving capabilities for the students.
Basic characteristics of financial derivatives such as options, futures and forward contracts; understanding of the market mechanism of these fundamental instruments; risk management and financial derivatives; the fundamental concepts of no-arbitrage and risk-neutral valuation principle; the binomial model and Black-Scholes-Merton pricing theory.
This course introduces financial markets and institutions and covers various types of securities and derivatives. It explores fundamental tools for investment analysis, valuation methods for assessing risk and return, and basic applications of machine learning in finance. The course is designed to equip students with a solid foundation for pursuing advanced FinTech studies.
The course of Financial Innovation and Structured Products provides a quantitative introduction to derivative markets. In it, we will focus on (i) the fundamental mechanics of futures, swaps and option markets, (ii) risk neutral evaluation theory of asset pricing, (iii) numerical procedures related to derivatives evaluation and risk managements, (iv) the principle of financial engineering and structured product design and their applications, and (v) financial crisis and regulation.
The course introduces some basic concepts of stochastic calculus, an important mathematical tool used in financial engineering, and based on it, treats systematically the theory of risk-neutral pricing. It discusses various applications in option pricing and financial modeling, and offers a brief introduction to numerical methods in finance.
This course introduces several important numerical methods in finance. The focuses will be on Monte Carlo simulation, stochastic optimization, approximate dynamic programming, and reinforcement learning, generative models, and their applications in financial engineering.
The course establishes a theoretical foundation for computational finance, covering three main principles of the subject: efficient market hypothesis, capital asset pricing model, and no arbitrage. Applications range from investment opportunity evaluation to derivative security pricing. The latter part concentrates on numerical methods such as binomial trees and finite difference methods, widely applied in risk management of derivatives.
This course introduces basic techniques for modelling and analyzing systems in the presence of uncertainty. It covers Poisson processes, discrete and continuous Markov chains, martingales, Brownian motions, stochastic calculus and applications in financial engineering.