STK9530 – Interest Rate Modelling via SPDE's

Course content

In the first part of the course we will be acquainted with the basic principles of modern interest rates theory. We will discuss popular interest models with special emphasis on statistical data analysis and calibration. In the second part of the course, we will focus on generalized interest rate models, which are described by stochastic partial differential equations or evolutionary equations.

Learning outcome

After completing the course you will

  • know and understand mathematical concepts and results from stochastic analysis in infinite-dimensional spaces
  • know and understand classical stochastic models for interest rates in connection with bond markets
  • learn how to build stochastic models for the dynamics of term structures of interest rates by using mathematical tools from infinite-dimensional stochastic analysis
  • learn and understand the advantages and deficiencies of the use of infinite-dimensional bond market models compared to classical ones from a practical and methodological point of view
  • learn and understand how to estimate bond market model parameters both in a classical and an infinite-dimensional setting by using empirical data.

Admission to the course

PhD candidates from the Faculty of Mathematics and Natural Sciences at the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.

Overlapping courses

Teaching

4 hours of lectures/exercises per week throughout the semester.

The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.

Upon the attendance of three or fewer students, the lecturer may, in conjunction with the Head of Teaching, change the course to self-study with supervision.

Examination

Final written exam or final oral exam, which counts 100 % towards the final grade.

The form of examination will be announced by the lecturer by 15 October/15 March for the autumn semester and the spring semester respectively.

This course has?1 mandatory assignment that must be approved before you can sit the final exam.

In addition, each PhD candidate is expected to give an oral presentation on a topic of relevance chosen in cooperation with the lecturer. The presentation has to be approved by the lecturer before you can sit the final exam.

It will also be counted as one of the three attempts to sit the exam for this course, if you sit the exam for one of the following courses: STK4530 – Interest Rate Modelling via SPDE's

Examination support material

Written examination: Approved calculators are allowed. Information about approved calculators in Norwegian.

Oral examination: No examination support material is allowed.

Language of examination

Courses taught in English will only offer the exam paper in English. You may submit your response in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Resit an examination

This course offers both postponed and resit of examination. Read more:

More about examinations at UiO

You will find further guides and resources at the web page on examinations at UiO.

Last updated from FS (Common Student System) May 4, 2024 4:30:22 AM

Facts about this course

Level
PhD
Credits
10
Teaching
Autumn

Taught according to demand and resources. Contact?studieinfo@math.uio.no if you are interested in this course.

Examination
Autumn
Teaching language
English

Contact

Department of Mathematics