Level: 200 level. Read more information on levels in our FAQs

Fees:  Please see Fees and payments

Lectures: 36 hours 

Classes: 18 hours

Assessment*: Two written examinations

Typical credit**: 3-4 credits (US) 7.5 ECTS points (EU)

*Assessment is optional

**You will need to check with your home institution

For more information on exams and credit, read Teaching and assessment

Calculus at lower undergraduate level and an introductory course in probability or statistics.

The topics that this course will cover:

• Methods for generating samples from a given probability distribution
• Monte Carlo estimation
• Variance reduction techniques
• The binomial asset pricing model and the concept of no-arbitrage
• The Black-Scholes option pricing model as a limit of the binomial model
• Application of Monte Carlo methods to pricing financial derivatives
• Introduction to programming in Python

Students are provided with both the mathematical foundations and the programming skills to analyse and price financial derivatives numerically. 

The LSE Department of Mathematics is internationally recognised for its teaching and research. Located within a world-class social science institution, the department aims to be a leading centre for Mathematics in the Social Sciences. The Department of Mathematics was submitted jointly to REF 2014 with LSE's Department of Statistics: 84% of the research outputs of the two departments were classed as either world-leading or internationally excellent in terms of originality, significance and rigour.

The Department has more than doubled in size over the past few years, and this growth trajectory reflects the increasing impact that mathematical theory and mathematical techniques are having on subjects such as economics and finance, and on many other areas of the Social Sciences.

On this three week intensive programme, you will engage with and learn from full-time lecturers from the LSE’s mathematics faculty.

The main reading material will be the detailed handouts distributed at the beginning of the course. Optionally, the following books might also be helpful:

-   S. M. Ross, Simulation, Academic press, 5th edition, 2013.
-   R. W. Shonkwiler and F. Mendivil, Explorations in Monte Carlo Methods, Springer, 2009.
-   S. E. Shreve, Stochastic Calculus for Finance I: The Binomial Asset Pricing Model, Springer, 2005.

**Course content, faculty and dates may be subject to change without prior notice