NMAK15000U Practical Financial Optimization
Day 1 Introduction to GAMS using mean variance/ mean standard deviation optimization.
Day 2 Continued introduction to GAMS. Adding practical constraints such as fixed costs, size constraints and gearing to the mean variance model. Analysing the results in Excel.
Day 3 Scenario generation and optimization. Case: index tracking and regret minimization.
Day 4 Scenario optimization continued. Case: Value at Risk and Conditional Value at Risk.
Day 5 Exchange Traded Funds and Feature Selection. Introduction to the final project on a real life asset allocation optimization and benchmarking case.
Day 1 The final project will be further discussed. We will work together on developing a back-testing framework for use in the final project.
Day 2-5 Work on the final project in class. Ad-hoc lectures are given based on the development of the project work.
The course gives an introduction to the domain of practical
financial risk and portfolio management. Participants will work
with problem areas that can be attacked using optimization
Participants will be trained in quantitative evaluation of risk-return trade-offs, and learn how to model, solve, and document large, practical problems.
The course also gives an introduction to the programming language GAMS (General Algebraic Modelling Systems), which will be used extensively in all the cases and examples.
Participants who have followed the course will be able to formulate and solve optimization problems in GAMS in particular within the following areas:
- Measuring and managing return and risk trade offs
- Adding practical constraints to financial optimization problems
- Immunization and dedication of a bond portfolio
- Modelling Value at Risk and Conditional Value at Risk
- Back-testing results of ex-ante optimization
See course contents above.
Example of course literature:
“A GAMS Tutorial”: http://www.gams.com/dd/docs/gams/Tutorial.pdf
Zenios, Stavros A. (2008), "Practical Financial Optimization: Decision Making for Financial Engineers", Blackwell.
Academic qualifications equivalent to a BSc degree is recommended.
After that (or: during the 2nd week) students are given an assigment to which they must (before the regular teaching block begins) hand in written answers (a report).
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- 7,5 ECTS
- Type of assessment
- Oral examination, 15 minutesWritten assignment, 7 daysNo preparation time. The report will be the focal point of the examination.
The grade will be given based on an overall evaluation.
- Only certain aids allowed
The student can bring the report for the examination.
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
Severel internal examiners
15 minutes oral exam (excl. grading) with all aids, but no preparation time. Here, the student will draw a question from a pre-specified list covering the full course contents.
Criteria for exam assesment
See Learning Outcome
- Exam Preparation
- Project work