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Program in Finance


Yacine Aït-Sahalia

Executive Committee

Dilip J. Abreu, Economics

Yacine Aït-Sahalia, Economics

Alan S. Blinder, Economics, Woodrow Wilson School

Markus K. Brunnermeier, Economics

René A. Carmona, Operations Research and Financial Engineering

Patrick Cheridito, Operations Research and Financial Engineering

Erhan Çinlar, Operations Research and Financial Engineering

Alexandre W. d'Aspremont, Operations Research and Financial Engineering

Jianqing Fan, Operations Research and Financial Engineering

Harrison G. Hong, Economics

Harold James, History, Woodrow Wilson School

Jakub W. Jurek, Economics

Paul R. Krugman, Woodrow Wilson School, Economics

Burton G. Malkiel, Economics

Stephen E. Morris, Economics

Ulrich K. Mueller, Economics

John M. Mulvey, Operations Research and Financial Engineering

Birgit Rudloff, Operations Research and Financial Engineering

José A. Scheinkman, Economics

Hyun S. Shin, Economics

Christopher A. Sims, Economics

K. Ronnie Sircar, Operations Research and Financial Engineering

David Sraer, Economics

Kenneth Steiglitz, Computer Science

Robert J. Vanderbei, Operations Research and Financial Engineering

Erik H. VanMarcke, Civil and Environmental Engineering

Mark W. Watson, Economics, Woodrow Wilson School

Wei Xiong, Economics

Under the auspices of the Bendheim Center for Finance, Princeton undergraduates concentrating in any department may earn a certificate that attests to their proficiency in the discipline of finance. The rapidly developing field of finance focuses on the pricing of financial assets, including equities, bonds, currencies, derivative securities; portfolio management and the evaluation of financial risks; banking and financial intermediation; the financing of corporations; corporate governance; financial-market and banking regulation; and many other topics. In addition to the obvious practical relevance of finance, the field contains both challenging intellectual problems and a distinctive formal framework within which those problems can be addressed. Knowledge of modern finance is also essential to the proper understanding of many other topics in economics and public policy, including the determination of exchange rates and international capital flows; the making of monetary and fiscal policy; the role of financial reform in developing and transition economies; the regulation and taxation of financial markets and financial instruments; and antitrust policy, to give but a few examples. Finally, modern finance is remarkably eclectic, drawing from many disciplines besides economics, including mathematics, operations research, engineering, computer science, psychology, politics, and history.

Admission to the Program

Students normally enter the certificate program at the beginning of their junior year. Interested students must submit a completed application form by May 31 of their sophomore year to the program representative. The application should include a brief description of the student's plan to fulfill the independent work requirement (see below) and a short essay explaining the student's interest in the finance certificate. Criteria for admission include the overall academic record of the student in the freshman and sophomore years, the plan to complete the independent work, and an essay. See the Program in Finance website for more details.

As economic theory, mathematics, and probability and statistics are pervasive in modern financial analysis, completion of the certificate in finance requires mathematical ability and preparation. The following foundation courses, or their equivalent, are required for admission into the program and (except as noted) must be completed by the end of the sophomore year. ECO and ORF majors require a higher level of proficiency in the prerequisite courses to ensure that the independent work is sufficiently quantitative. Consequently, ECO and ORF majors must have an average grade of B- calculated across all prerequisites. All courses require a letter grade (pass/fail not allowed).

1. Mathematics: MAT 200 (Linear Algebra and Multivariable Calculus for Economists), or MAT 201 (Multivariable Calculus) and MAT 202 (Linear Algebra with Applications), MAT 203 (Advanced Multivariable Calculus), and MAT 204 (Advanced Linear Algebra with Applications)

2. Economics: ECO 310 (Microeconomic Theory: A Mathematical Approach)

3. Probability and Statistics: ORF 245 (Fundamentals of Engineering Statistics), or ECO 202 (Statistics and Data Analysis for Economics), or PSY 251 (Quantitative Methods), or SOC 301 (Sociological Research Methods), or POL 345 (Quantitative Analysis and Politics), or WWS 332 (Quantitative Analysis for Public Policy), or PHY 301 (Thermal Physics) and PHY 312 (Experimental Physics), or MAT 222 (Introduction to Statistics)

Program of Study

1. A total of five courses, at level 300 or higher. All students must have a minimum grade of C+ averaged over the core courses, the elective courses, and the independent work.

a) The two core courses, ECO 362 (Financial Investments) and ECO 363 (Corporate Finance and Financial Institutions), typically completed during the junior year.

b) Three electives chosen from the two lists of elective courses found on the program's website. List 1: Financial Applications, and List 2: General Methodology for Finance. ECO and ORF majors must take at least two of their three elective courses from List 1. All other concentrators must take at least one of their three elective courses from List 1. The program representative can approve a coherent plan of study that involves elective courses outside the preapproved lists.

2. A senior thesis in the major department (or other form of independent work required by their concentration) with significant finance content (subject to approval of the program representative). "Significant finance content" means that a substantial component of the thesis will involve issues or methods drawn from finance. Faculty affiliated with the Bendheim Center can provide secondary thesis advising as the need arises. If there is no possibility of finance content in the senior thesis, a separate, shorter piece of independent work is required; please consult with the program representative.

Certificate of Proficiency

Students who fulfill all the requirements will receive a certificate upon graduation.

Sample Elective Selection. Elective courses may be selected either according to individual needs and preferences, or to conform to one of five suggested tracks, listed below. These tracks are intended to be illustrative of coherent courses of study that students might choose. It is not necessary for a student to designate or complete a particular track to satisfy the certificate requirements.

1. Mathematical Finance Track. Students in this track study the mathematics of financial price theory, including stochastic calculus and its applications to arbitrage and equilibrium in dynamic economies. Relevant courses include ECO 317, 414, 465, 466; MAT 305, 390, 391; ORF 309, 311, 515.

2. Corporate Finance Track. Students in this track study issues such as the choice and financing of investment projects, firms' determination of dividend policy, optimal capital structure, financial reorganization, mergers and acquisitions, and the management and regulation of banks and other financial institutions. Relevant courses include ECO 317, 322, 342, 361, 490, 464; ELE 491.

3. Derivatives Pricing and Risk Management Track. Students in this track focus on the determination of the prices of options, futures, and other derivative securities, and on the management of their risks. Relevant courses include APC 350; CEE 460; COS 323; ECO 302, 312, 463, 465, 466, 491; MAT 304, 331; ORF 309, 335, 374, 405, 435, 474, 515.

4. Investment Management Track. Students in this track study the design and functioning of asset markets around the world, the theory of optimal portfolios, the behavior and determinants of asset returns, and techniques of portfolio management. Relevant courses include COS 323; ECO 311, 342, 353, 461, 462, 463, 464, 465, 466; ELE 382; HIS 364; MAT 305; ORF 307, 311, 405, 435; WWS 312.

5. Information Technologies for Finance Track. Students in this track study the computer-based technologies that are becoming increasingly important in finance, such as the design of efficient trading systems, algorithms, interfaces and large databases, and the security of computer networks. Relevant courses include COS 318, 323, 333, 423, 425, 432, 436, 461, 492, 493, 496; MAT 305.