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¸£Àû±ÆÕ¾ Catalog 2025-2026

Financial Mathematics (FIM)

¹ó±õ²ÑÌý500ÌýÌýCareer Development for QuantsÌýÌý(3 credit hours)ÌýÌý

Enhance your professional and career development skills while you are in the Financial Math program with seminar topics on networking, LinkedIn, resumes, interviews, presentations and business writing tips. Learn about workplace etiquette and business ethics. You will also gain resources and important industry information from guest speakers and alumni. Become Base SAS Certified and Bloomberg Certified, and gain hands-on experience with these tools by participating in group and individual projects.Course includes one or more projects that expose students to applications in the area of financial mathematics. Students that wish to develop SAS programming skills are encouraged to take ³§°ÕÌý555/556.

Must be in the Masters of Financial Mathematics program.

Typically offered in Fall only

¹ó±õ²ÑÌý528/²Ñ´¡Ìý528/·¡°ä³ÒÌý528ÌýÌýOptions and Derivatives PricingÌýÌý(3 credit hours)ÌýÌý

The course covers (i) structure and operation of derivative markets, (ii) valuation of derivatives, (iii) hedging of derivatives, and (iv) applications of derivatives in areas of risk management and financial engineering. Models and pricing techniques include Black-Scholes model, binomial trees, Monte-Carlo simulation. Specific topics include simple no-arbitrage pricing relations for futures/forward contracts; put-call parity relationship; delta, gamma, and vega hedging; implied volatility and statistical properties; dynamic hedging strategies; interest-rate risk, pricing of fixed-income product; credit risk, pricing of defaultable securities.

Typically offered in Fall only

¹ó±õ²ÑÌý547/²Ñ´¡Ìý547ÌýÌýStochastic Calculus for FinanceÌýÌý(3 credit hours)ÌýÌý

This course explores stochastics calculus with its applications in pricing and hedging problems for financial derivatives such as options. Topics to be covered in the course include 1) discrete and continuous martingales, 2) Brownian motions and Ito's stochastic calculus, and 3) Black-Scholas framework for financial derivatives pricing and hedging.

Prerequisite: ¹ó±õ²ÑÌý528 and MA(ST) 546

Typically offered in Spring only

¹ó±õ²ÑÌý548/²Ñ´¡Ìý548ÌýÌýMonte Carlo Methods for Financial MathÌýÌý(3 credit hours)ÌýÌý

Monte Carlo (MC) methods for accurate option pricing, hedging and risk management. Modeling using stochastic asset models (e.g. geometric Brownian motion) and parameter estimation. Stochastic models, including use of random number generators, random paths and discretization methods (e.g. Euler-Maruyama method), and variance reduction. Implementation using Matlab. Incorporation of the latest developments regarding MC methods and their uses in Finance.

Typically offered in Spring only

¹ó±õ²ÑÌý549/²Ñ´¡Ìý549ÌýÌýFinancial Risk AnalysisÌýÌý(3 credit hours)ÌýÌý

This course focuses on mathematical methods to analyze and manage risks associated with financial derivatives. Topics covered include aggregate loss distributions, extreme value theory, default probabilities, Value-at-Risk and expected shortfall, coherent risk measures, correlation and copula, applications of principle component analysis and Monte Carlo simulations in financial risk management, how to use stochastic differential equations to price financial risk derivatives, and how to back-test and stress-test models.

Typically offered in Spring only

¹ó±õ²ÑÌý590ÌýÌýSpecial Topics in FIMÌýÌý(1-6 credit hours)ÌýÌý

Special Topics in FIM

¹ó±õ²ÑÌý601ÌýÌýSeminar in Financial MathematicsÌýÌý(1 credit hours)ÌýÌý

Seminar in Financial Mathematics

Prerequisite: ¹ó±õ²ÑÌý500

Typically offered in Fall and Spring

¹ó±õ²ÑÌý610ÌýÌýSpecial Topics in Financial MathematicsÌýÌý(1-6 credit hours)ÌýÌý

Special Topics in Financial Mathematics

¹ó±õ²ÑÌý620ÌýÌýSpecial Problems in FIMÌýÌý(1-6 credit hours)ÌýÌý

Special Problems in FIM

¹ó±õ²ÑÌý630ÌýÌýIndependent StudyÌýÌý(1-6 credit hours)ÌýÌý

Development of research and projects in various aspects of financial mathematics under the direction of financial mathematics faculty member on tutorial basis. Requires a faculty sponsor and departmental approval.

R: Graduate Standing

Typically offered in Fall, Spring, and Summer

¹ó±õ²ÑÌý650ÌýÌýInternship in Financial MathematicsÌýÌý(1-9 credit hours)ÌýÌý

The internship experience provides the students the opportunity to use quantitative financial mathematics in a workplace under the supervision of a practitioner. Links academic theory to practice. Develop a heightened awareness of workplace issues as they relate to the student's chosen career path. Clarify and/or confirm professional direction. An internship or project is required of all students in the Masters of Financial Mathematics Program. Restricted to students in the Masters of Financial Mathematics.

Must be a student registered in the Masters of Financial Mathematics program.

Typically offered in Fall, Spring, and Summer

¹ó±õ²ÑÌý675ÌýÌýProject in Financial MathematicsÌýÌý(1-3 credit hours)ÌýÌý

The project provides the students the opportunity to apply quantitative financial mathematics to a problem of practical interest under the supervision of faculty and/or practitioners. Links academic theory to applications. Examine a practical problem from financial mathematics using marketplace data. Approach solutions to the problem considering aspects of quantitative risk and/or optimal returns. Methods and models will be drawn from academic courses and other sources. Restricted to students in the Masters of Financial Mathematics.

Must be a student registered in the Masters of Financial Mathematics program.

Typically offered in Fall, Spring, and Summer

¹ó±õ²ÑÌý688ÌýÌýNon-Thesis Masters Continuous Registration - Half Time RegistrationÌýÌý(1 credit hours)ÌýÌý

Non-Thesis Masters Continuous Registration - Half Time Registration

Typically offered in Spring only

¹ó±õ²ÑÌý689ÌýÌýNon-Thesis Masters Continuous Registration - Full Time RegistrationÌýÌý(3 credit hours)ÌýÌý

Non-Thesis Masters Continuous Registration - Full Time Registration

Typically offered in Fall and Spring

¹ó±õ²ÑÌý693ÌýÌýMaster's Supervised ResearchÌýÌý(1-9 credit hours)ÌýÌý

Master's Supervised Research

Typically offered in Fall, Spring, and Summer