An overview of classes of problems, solution methods, and classes of solutions within personal financial optimization. Personal financial optimization includes consumption-investment problems and classes of problems are categorized by a) specification of preferences in terms of consumption utility functions, b) time versus risk preferences, c) inclusion of insurance risk and decision making, and d) state-dependent utility where the state can be spanned by the financial market. The various problems are discussed and solved, and the structures of solutions are understood as different patterns of consumption, investment, and insurance over the life cycle.
MSc Programme in Actuarial Mathematics
MSc Programme in Mathematics-Economics
Knowledge about classes of problems, solution methods, and classes of solutions within personal financial optimization.
Skills: At the end of the course the student is expected to be able to discuss in detail classes of problems, solution methods, and classes of solutions within personal financial optimization. The starting point is Merton's consumption-investment problem in continuos time and from there we generalise to state-dependent utility and applications of equilibrium theory.
Competencies: To give the student insight in classes of problems, solution methods, and classes of solutions within personal financial optimization.
Lectures. The students get to see the course contents in regular lectures. Since the core content concern individual preferences and individual decision making, the students' preferences and decision making is discussed with the students during the lectures.
Continuous-Time Finance (e.g. the course FinKont) including Ito Calculus and pricing and hedging of contingent claims in diffusive markets. A Bachelors degree is recommended.
Continuous feedback during the course of the semester is given during discussions about the students' preferences and decision making.
- 7,5 ECTS
- Type of assessment
Oral examination, 30 minutes
- Type of assessment details
- Without preparation time
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
Several internal examiners
Criteria for exam assessment
The student must, in a satisfactory way, demonstrate that he/she masters the learning outcome.
Single subject courses (day)
- Course number
- 7,5 ECTS
- Programme level
- Full Degree Master
- Block 1
- The number of seats may be reduced in the late registration period
- Study Board of Mathematics and Computer Science
- Department of Mathematical Sciences
- Faculty of Science
- Mogens Steffensen (6-74766e6c757a4774687b6f35727c356b72)
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Courseinformation of students