STK-MAT3700 – Introduction to Mathematical Finance and Investment Theory
Schedule, syllabus and examination date
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.
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.
The students should understand the underlying principles of modern finance and investments theory. They should 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 investments 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.
Admission to the course
Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.
Special admission requirements
In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:
- Mathematics R1 (or Mathematics S1 and S2) + R2
And in addition one of these:
- Physics (1+2)
- Chemistry (1+2)
- Biology (1+2)
- Information technology (1+2)
- Geosciences (1+2)
- Technology and theories of research (1+2)
The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies(in Norwegian).
Recommended previous knowledge
- MAT1100 – Calculus
- MAT1110 – Calculus and Linear Algebra
- MAT1120 – Linear Algebra
- STK1100 – Probability and Statistical Modelling
- It may also be useful to have taken STK2130 – Modelling by Stochastic Processes
- 10 credits overlap with STK-MAT4700 – Introduction to Mathematical Finance and Investment Theory.
- 10 credits overlap with MØ105.
- 8 credits overlap with MAT2700 – Introduction to mathematical finance and investment theory (continued).
- 8 credits overlap with ECON4510 – Finance Theory.
- 5 credits overlap with ECON4515 – Finance Theory 1: Portfolio choice and equilibrium models (discontinued).
- 5 credits overlap with ECON4520 – Finance Theory 2: Option theory with applications (discontinued).
- 3 credits overlap with STK4510 – Introduction to methods and techniques in financial mathematics (discontinued).
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-MAT4700 – 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.
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: