Program in Quantitative Finance

Applied Mathematics and Statistics

Stony Brook University

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Graduate Requirements

The Department of Applied Mathematics and Statistics plans to offer M.S./Ph.D. training in Operations Research and Quantitative Finance as well as an Advanced Graduate Certificate in Quantitative Finance that is open to students in other areas of the department. All Applied Math students are eligible to enroll in any Quantitative Finance course for whioh they meet the prerequisites.

    

   


Advanced Placement

    

Students who enter the program with graduate credits earned at other institutions will generally not be expected to repeat coursework they have already completed. The total credit hours and academic requirements for a Masters or doctorate in Applied Mathematics and Statistics, however, must still be met.

    

Students who are transfering into the program having completed advanced degrees in highly mathematical fields, both in and out of Finance, may be admitted to the Ph.D. program in Applied Mathematics and Statistics. The precise details, including the resoluition of any graduate deficiencies, are determined on a case by case basis by the Graduate Program Director. The academic requirements for a doctorate in Applied Mathematics and Statistics must still be met.

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Advanced Graduate Certificate in Quantitative Finance

        

The Advanced Graduate Certificate in Quantitative Finance is open to students who already have a Masters in a quantitative discipline or equivalent preparation and will require the completion of 15 graduate credits as outlined below:

    

    

These courses are all regular graduate courses and can also be taken as electives in one of the M.S.degree tracks in Applied Mathematics and Statistics.

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M.S.in the Operations Research - Quantitative Finance track with a Quantitative Finance emphasis

    

A typical program of study for the new M.S. in the quantitative finance specialization consists of the following courses:
Quantitative Finance Courses
i) AMS 511, Foundations of Quantitative Finance
ii) AMS 512, Capital Markets and Portfolio Theory
iii) AMS 513, Financial Derivatives and Stochastic Calculus
iv) AMS 515, Case Studies in Quantitative Finance
v) at least one more elective course in quantitative finance chosen from AMS 514, Computational Finance
AMS 516, Statistical Methods in Finance , AMS 517, Topics in Statistical Methods for Finance , or, with permission of their advisor, a student may chose an elective from other graduate courses in the department.

Mathematical Sciences Courses
vi) AMS 507, Introduction to Probability
vii) AMS 510, Analytical Methods for Applied Mathematics and Statistics
viii) AMS 550, Stochastic Models
ix) AMS 553, Simulation and Modeling
x) one statistics course, typically AMS 572 Data Analysis I or AMS 578, Regression Theory or AMS 586, Time Series
xi) AMS 595 Fundamentals of Computing (1credit)

    

Individuals who are considering a Ph.D. in quantitative finance are strongly encouraged to take the sequence AMS 570 - Mathematical Statistics I: Estimation and AMS 571 - Mathematical Statistics II: Hypothesis Testing instead of AMS 576 and the sequence AMS 540 Ð Linear Programming and AMS 544 Ð Discrete and Nonlinear Programming.

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Ph.D., Applied Mathematics and Statistics

    

See AMS Graduate Program for details the requirements for the Ph.D. in Applied Mathematics. In the past many students in AMS have completed dissertations which touch on problems in options evaluation, market arbitrage, economic equilibria and allied topics. Within the Department students are encouraged to have a broad vision in which there are no hard boundaries among the various tracks: Computational Mathematics,Operations Research and Statistics. Consistent with this interdisciplinary mission, students often reach outside the Department and collaborate with faculty and industrial researchers in areas such as Physics, Economics, Management, Biology, Electrical Engineering, Computer Science, and Medicine among others.

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