The course covers the basic mathematical theory for modeling and pricing of financial instruments in discrete and continuous time. The focus in the course is on modeling stocks and pricing of stock options leading up to the Black Scholes model, built on geometric Brownian motion. The course also covers the theory of interest rates and pricing of different interest rate instruments.
The course requires 90 ECTS including a course in Multivariable Calculus and Differential Equations and a basic course in Mathematical Statistics, minimum 6 ECTS. Proficiency in English equivalent to the level required for basic eligibility for higher studies. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.