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Program in Mathematics of Finance and Risk Management
The program in Mathematics of Finance and Risk Management (or Mathematics of Finance for short) is designed to provide a broad education in the quantitative aspects of risk management and finance. Today's financial instruments require sophisticated mathematical techniques for their valuation. These techniques come from the fields of probability, statistics and differential equations.
Mathematics of Finance & Risk Management Subplan Checklist
I. Prerequisites
The prerequisite to concentration in Mathematics of Finance is one of the pair of courses 205 & 217, 215 & 217, 285 & 217, or 295 & 296. In addition, each student must complete two introductory courses in Economics (Econ 101 and 102), and acquire a working knowledge of a high-level computer language (e.g. Fortran, C or C++) at a level equivalent to completion of EECS 183.
The concentration program must include at least ten courses: 4 basic courses (II.), 4 special Mathematics of Finance courses (III.), and 2 related courses (IV.) as described below.
II. Basic Courses
Basic courses consist of one from each of the following groups completed with a grade of at least C-:
- Differential Equations: Math 286 or 316
- Probability: Math 525
- Statistics: Stats 426
- Analysis: Math 351, or 451
More advanced students, such as those who have completed Math 396, may substitute higher-level courses with the approval of a major advisor.
III. Special Courses
The special Mathematics of Finance courses must include Math 423, 474, 472, and 526. Careful planning is essential.
IV. Related Courses
To complete the major program, each student should elect two additional intermediate or advanced courses related to Financial Mathematics. Some, but not all, of the courses numbered 300 and above offered by Accounting, Computer Science, Economics, Finance, Industrial and Operations Engineering, and Statistics are appropriate here. Some specific approved courses are:
| 422 | Risk Mgmt & Insurance | IOE 310 | Intro Optim Methods |
| 462 | Mathematical Models | IOE 452 | Corporate Finance |
| 623 | Computational Finance | | |
| ECON 401 | Inter Micro Theory | IOE 452 | Corporate Finance |
| ECON 402 | Inter Macro | FIN 302 | Financial Decisions |
| ECON 409 | Game Theory | FIN 317 | Corp Financing Decisions |
| ECON 452 | Intro to Econometrics | DATASCI 406 | Computational Method |
FIN 302 | Financial Decisions | DATASCI 415 | Data Mining |
FIN 317 | Corp Financing Decisions | DATASCI 451 | Bayesian Data Analy |
FIN 408 & FIN 409 (1.5 Credits Each) | Capital Markets AND Fixed Inc Sec | DATASCI 470 | Intro Design of Exp |
| STATS 480 | Survey Sampling | STATS 503 | Stat Machine Lrning |
| STATS 500 | Regression Analysis | STATS 505 | Econometric Anlys I |
| STATS 501 | Adv Regression Anlys | STATS 531 | Analysis Time Series |
- Some Statistics courses numbered above 400
- All Accounting courses 300 and above
Other courses may sometimes be appropriate, and in all cases, approval of the advisor in Financial Mathematics is required.
