大家都知道,英国的硕士课程一般只有一年的时间,他是为继续攻读博士学位而做准备的,所以,硕士阶段学的都是奠基的课程,如金融基础知识、以后要用到的研究工具等,以下是英国某大学数学金融硕士的课程,大家参考一下,就知道金融硕士阶段要怎么学了。
Term 1 (October - December)
1、Econometrics with Financial Applications (15+)。
forecasting; stochastic volatility; ARCH; GARCH; co-integration; statistical-arbitrage; non-stationarity; unit roots
2、Introduction to quantitative finance (10+)。
options pricing; Black-Scholes; European and American options; exotic options; fixed income; binomial method; random walks
3、Computational Methods and Frontiers (10+)。
finite differences; finite elements; numerical solutions; partial differential equations
Optional Modules
4、International Banking and Finance (20)。
5、Macroeconomics (30)
Economic growth, consumption, investment, exchange rates, interest parity conditions, overshooting, speculative attacks, inflation, monetary policy.
6、Multicriteria Decision Making (10)
Vector optimization; Pareto efficiency; efficient set; goal programming; partial and total order; invariant order; cone and dual cone.
7、Nonlinear Programming I (10)
Optimality condition; convex set and convex function; duality theory; unconstrained optimization; constrained optimization; conjugate gradient algorithms; Newton-type algorithms; interior point algorithms; Lagrangian methods.
8、Conic optimization (10)
Interior point algorithms; semi-definite programming; conic optimization; quadratic optimization; Semi-definite relaxation; finance and engineering applications.
9、Topics in Money and Banking (10)
10、Integer Programming (10)
Alternative formulations; optimality; relaxation; primal and dual bounds; total unimodularity; cut-plane algorithm; branch and bound method; network flow problems; knapsack problems; matching problem; assignment problem; set covering problem
Relevant modules for those without all the requisite undergraduate mathematics training include: PDEs, Transform Theory, and Complex Variable Theory for Physicists. Graduate modules offered elsewhere in the University may also be taken with the Programme Director's approval.
Term 2 (January - March)
Compulsory Modules
1、Econometrics with Financial Applications (+15)
forecasting; stochastic volatility; ARCH; GARCH; co-integration; statistical-arbitrage; non-stationarity; unit roots
2、Exotic options, bonds and further quantitative finance (+10)
options pricing; Black-Scholes; European and American options; exotic options; fixed income; binomial method; random walks
3、Computational Methods and Frontiers (+10)
finite differences; finite elements; numerical solutions; partial differential equations
4、Economics of Financial Markets (20)
consumption-based CAPM; equity premium; factor models; time-varying risk; behavioural finance
5、Risk Analytics (10)
copulas; Value-at-Risk; expected shortfall (cVaR); mean-variance portfolio optimization; PCA; stress testing; Black-Litterman; live trading
Optional Modules
6、Non-Linear Programming II (10)
Optimality condition; convex set and convex function; duality theory; unconstrained optimization; constrained optimization; conjugate gradient algorithms; Newton-type algorithms; interior point algorithms; Lagrangian methods.
7、Combinatorial Optimisation (10)
Alternative formulations; optimality; relaxation; primal and dual bounds; total unimodularity; cut-plane algorithm; branch and bound method; network flow problems; knapsack problems; matching problem; assignment problem; set covering problem
8、Advanced quantitative finance: crashes, volatility, multiple assets and hedging (10)
crashes; volatility modeling; multi-asset options; hedging; liquidity; asset allocation; stochastic control; historical lessons; Monte Carlo
9、Heuristic Optimisation (10)
Exhaustive search; tapu-search, local search; greedy algorithms; dynamic programming; computer simulation; evolutionary Algorithms.
10、Research Frontiers in Management Mathematics (10)
Semi-infinite programming; economic equilibrium problems; projection algorithms; fixed-point methods; merit functions.
Relevant modules for those without all the requisite undergraduate mathematics training include: Numerical Methods in Linear Algebra, Programming. Graduate modules offered elsewhere in the University may also be taken with the Programme Director's approval.