Derivatives I - FIN 66080: An introduction to the theory and practice of pricing and hedging of derivative securities. Coverage of equity and index, foreign currency, commodity, and interest-rate derivatives. Basic mathematical concepts and the institutional structure of derivative markets are also discussed.

Financial Management I - BAD 66061: Study of financial decision-making processes within a firm. Emphasis on applications and strategic planning in investment, financing, dividend, and working capital decisions.

Topics in Probability Theory and Stochastic Processes - MATH 4/50051: Topics from conditional expectations, Markov chains, Markov processes, Brownian motion and martingales, and their applications to stochastic calculus.

Computational Finance - MATH 6/72203: Basic numerical methods (floating-point arithmetic, numerical linear algebra, solutions of non-linear equations, interpolation, curve fitting, splines, differentiation, integration, Monte-Carlo methods, ordinary differential equations) numerical solutions of PDEs (finite-difference methods for parabolic PDE's, stability, convergence, applications to Black-Scholes equations, free-boundary problems, applications to pricing American options) Probabilistic methods (random variable generation, Monte-Carlo simulation, binomial tree models, stochastic differential equations).

Derivatives II - FIN 6/76081: Coverage of exotic options, discrete and continuous pricing models, and pricing techniques. Develops the economic foundation of the theory of derivatives and a mathematical toolkit to analyze standard instruments and 'dissect' exotic ones.

Legal Aspects of Financial Engineering - FIN 66075: Coverage of the legal, regulatory and compliance aspects of derivative use and the current legal standing of derivatives and regulatory issues associated with derivatives. The issues of risk measurement, risk oversight, and transparency of derivatives markets and disclosure issues are covered. Includes a required field experience.

Advanced Security and Investment Theory - BAD 6/76066: Integrated investment analysis with portfolio analysis and management. Coverage of the leading portfolio and capital asset models.

Financial Mathematics - MATH 6/70070: Topics from replication of trading strategies, arbitrage, completeness, martingale representation theorem, fundamental theorem of finance, stochastic differential equations, Black-Scholes formula of option pricing.

Time Series Analysis - ECON 6/7/82056: Covers various kinds of time series models, including ARIMA, GARCH, unit roots and co-integration, and vector autoregressive models. Students will gain hands-on experience with all models learned in this course.

Financial Engineering - FIN 6/76084: Coverage of VAR, hedging techniques, synthetic assets, and volatility trading. Risk management and risk control models are covered. Surveys standard approaches to measuring and modeling financial risk from the risk manager perspective.

Fixed Income Markets - FIN 6/76085: Provides a quantitative approach to fixed income instrument use. Covers the mathematics of bond pricing, term structure analysis, and pricing of credit risk. Trees and Monte Carlo methods of valuation are presented.

Seminar: Modeling Projects - MATH 4/52091: Individual and small-group projects concerned with the formulation and analysis of mathematical models in a variety of areas with the focus on finance for the financial engineering students. Written and oral reports are required.

* These courses cover the necessary topics and more