STK-MAT4700 – Introduction to Mathematical Finance and Investment Theory

Schedule, syllabus and examination date

Choose semester

Exams after the reopening

As a general rule, exams will be conducted without physical attendance in the autumn of 2021, even after the reopening. See the semester page for information about the form of examination in your course. See also more information about examination at the MN Faculty in 2021.

Course content

The course gives an introduction to the most important notions and problems in mathematical finance. The theory of arbitrage for pricing and hedging derivatives (options) will be studied in the context of discrete and continuous time stochastic models, with the famous Black and Scholes option pricing formula as a highlight. Moreover the course will focus on the theory of investments with special stress given to utility optimization and the Markowitz´ theory for optimal portfolio choice.

Learning outcome

The students will understand the underlying principles of modern finance and investment theory. They will be given the mathematical theoretical and practical skills to be used in quantifying the price of financial contracts, in computing the hedging strategies and in making investment choices which balance profit and risk. More particularly:

  • develop hedging strategies for derivatives in tree-models
  • price using no-arbitrage and hedging principles in tree-models
  • know the concept of risk-neutral probability
  • develop the Black-Scholes option pricing formula as a limit of tree-model
  • apply the Black-Scholes formula to price and hedge plain-vanilla options in finance
  • can create portfolios that balance profit and risk optimally
  • master LaTeX as an electronic tool for writing mathematics.

Admission to the course

Students admitted at UiO must apply for courses in Studentweb. Students enrolled in other Master's Degree Programmes can, on application, be admitted to the course if this is cleared by their own study programme.

Nordic citizens and applicants residing in the Nordic countries may apply to take this course as a single course student.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures for international applicants.

Overlapping courses


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.


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

This course has 1 mandatory assignment that must be approved 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: MAT2700 – Introduction to mathematical finance and investment theory (continued), STK-MAT3700 – Introduction to Mathematical Finance and Investment Theory

Examination support material

No examination support material is allowed.

Language of examination

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

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Resit an examination

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

Special examination arrangements, use of sources, explanations and appeals

See more about examinations at UiO

Last updated from FS (Common Student System) Dec. 1, 2021 10:37:13 AM

Facts about this course

Teaching language