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Elective Courses

In addition to the two core courses of the certificate, students must complete three courses chosen from the two lists below. All require a letter grade. Pass/fail is not allowed.


Courses not listed in the pre-approved lists here but which form part of a coherent program of study in finance, and which are approved in advance by the Director of Undergraduate Studies, may be used to fulfill the electives requirement. Courses must be at the level 300 or higher. Requests must be made by email to the Director of Undergraduate Studies, Yacine Ait-Sahalia.

Please check this page for updates regarding new courses eligible as elective courses for the Certificate or removals of previously-listed courses from the eligibility list. Not all courses may be offered every year. Please check with the relevant departments to confirm their offerings in any given year.

When you select your elective courses, keep in mind that:

  • ECO and ORF students must take at least 2 of their 3 elective courses from List 1
  • Other concentrators must take at least 1 of their 3 elective courses from List 1

List 1: Financial Applications

  • ECO 315: Topics in Macroeconomics
  • ECO 325: Organization and Design of Markets
  • ECO 327: Firm Competition and Strategy: A Mathematical Approach
  • ECO 342: Money and Banking
  • ECO 344: Macroeconomic Policy
  • ECO 353: International Monetary Economics
  • ECO 361: Financial Accounting
  • ECO 416: Fintech
  • ECO 461: Entrepreneurship, Innovation, and Venture Capital
  • ECO 462: Portfolio Theory and Asset Management
  • ECO 463: International Financial Markets
  • ECO 464: Corporate Restructuring
  • ECO 465: Options, Futures, and Financial Derivatives
  • ECO 466: Fixed Income: Models and Applications
  • ECO 467: Institutional Finance: Trading and Markets
  • ECO 468: Behavioral Finance
  • ECO 469: Valuation and Security Analysis
  • ECO 491: Cases in Financial Risk Management
  • ECO 492: Asian Capital Markets
  • ECO 493: Financial Crisis
  • ECO 494: Chinese Financial and Monetary Systems
  • EGR 395: Venture Capital and Finance of Innovation
  • EGR 475: Building and Operating Complex and Regulated Ventures
  • EGR 491: High-Tech Entrepreneurship
  • ORF 335: Introduction to Financial Mathematics
  • ORF 435: Financial Risk Management
  • ORF445: High Frequency Markets: Models and Data Analysis
  • SPI 466: Financial History
  • SPI 524: The Political Economy of Central Banking
  • SPI 582f: House of Debt: Understanding Macro & Financial Policy

List 2: Methodology for Finance

  • APC 350: Introduction to Differential Equations
  • CEE 460: Risk Assessment and Management
  • COS 318: Operating Systems
  • COS 324: Introduction to Machine Learning
  • COS 333: Advanced Programming Techniques
  • COS 423: Theory of Algorithms
  • COS 424: Fundamentals of Machine Learning
  • COS 432: Information Security
  • COS 436: Human-Computer Interface Technology
  • COS 445: Economics and Computing
  • COS 461: Computer Networks
  • ECO 311: Macroeconomics: A Mathematical Approach
  • ECO 312: Econometrics: A Mathematical Approach
  • ECO 313: Econometric Applications
  • ECO 317: The Economics of Uncertainty
  • ECO 322: Econometric Tools for Research in Microeconomics
  • ECO 365: Introduction to Empirical Methodology in Finance
  • ECO 414: Introduction to Economic Dynamics
  • ECO 418: Strategy and Information
  • ECO 488: Applied Game Theory
  • ELE 364: Machine Learning for Predictive Data Analytics
  • ELE 435: Machine Learning and Pattern Recognition
  • MAE 305: Mathematics in Engineering I
  • MAE 306: Mathematics in Engineering II
  • MAT 325: Analysis I: Fournier Series and Partial Differential Equations
  • MAT 330: Complex Analysis with Applications
  • MAT 335: Analysis II: Complex Analysis
  • MAT 385: Probability Theory
  • MAT 486: Random Processes
  • ORF 307: Optimization
  • ORF 309: Probability and Stochastic Systems
  • ORF 311: Stochastic Optimization and Machine Learning in Finance
  • ORF 350: Analysis of Big Data
  • ORF 363: Computing and Optimization for the Physical and Social Sciences
  • ORF 401: Electric Commerce
  • ORF 405: Regression and Applied Time Series
  • ORF 409: Introduction to Monte Carlo Simulation
  • ORF 455: Energy and Commodities Markets
  • SPI 340: Psychology of Decision Making