Syllabus for Financial Derivatives

Finansiella derivat


  • 7.5 credits
  • Course code: 1MA209
  • Education cycle: Second cycle
  • Main field(s) of study and in-depth level: Mathematics A1N, Financial Mathematics A1N
  • Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
  • Established: 2012-03-08
  • Established by:
  • Revised: 2019-10-24
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: Autumn 2020
  • Entry requirements: 120 credits including 40 credits in mathematics. Proficiency in English equivalent to the Swedish upper secondary course English 6.
  • Responsible department: Department of Mathematics

Learning outcomes

On completion of the course, the student should be able to:

  • construct models for pricing of financial derivatives;
  • price simple financial derivatives with risk neutral valuation;
  • present financial models and pricing to various users of financial instruments;
  • use stochastic calculus in various areas of application;
  • give an account of Feyman-Kac's representation formula and be able to use it to find solutions of parabolic partial differential equations.


Diffusion processes, stochastic integration and Ito's formula. Arbitrage theory in continuous time. Black-Scholes equation for pricing of financial instruments. Feynman-Kac's representation formula. Risk neutral valuation and hedging. Complete and incomplete markets. Applications to financial instruments such as options, forwards, futures, swaps, interest rate and currency derivatives.


Lectures and problem solving sessions.


Written examination and assignments.

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

Other directives

The course can not be included in higher education qualification together with Financial mathematics II or the equivalent.

Reading list

Reading list

Applies from: Autumn 2022

Some titles may be available electronically through the University library.

  • Björk, Tomas Arbitrage theory in continuous time

    Fourth edition.: Oxford: Oxford University Press, 2020

    Find in the library


Reading list revisions

Last modified: 2022-04-26