Monte Carlo methods can be loosely defined as statistical simulation methods and are among the most widely used methods in financial applications. This course aims to give the students a significant familiarity with the application of Monte Carlo methods on the pricing and risk analysis of financial derivatives. We cover the underlying principles of Monte Carlo methods, random number generation from various probability distributions, simulation of Brownian motion and geometric Brownian motion, variance reduction techniques, quasi Monte Carlo methods, calculation of sensitivities and pricing of American options. Use of computers for implementing the methods covered is a central part of the course.
Monte Carlo Methods for Financial Applications, 7.5 hp
Spring Term 2019
Lectures begin on week starting 29 April 2019
Lectures end during the week of 3 June 2019
English (upon request)
Type of studies
The course requires 90 ECTS including 22,5 ECTS in Calculus of which 7,5 ECTS in Multivariable Calculus and Differential Equations and a basic course in Mathematical Statistics, minimum 6 ECTS. Proficiency in English equivalent to Swedish upper secondary course English 5/A. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.
Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.
The online application opens 17 September 2018 at 13:00 CET.
Application deadline is
15 October 2018.
Application and Tuition fees
As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.