Financial modelling with stochastic processes

7.5 credits

The celebrated Black-Scholes model for describing stock prices and how to price and hedge options is fundamental in financial mathematics. The accompanying Black-Scholes formula also serves as a benchmark for describing risks of assets via the implied volatility.

The Black-Scholes model has some obvious inaccuracies. In this course some of the important weaknesses of the Black-Scholes model is pointed out both what regards statistical properties and theoretical aspects on risks by options.

The focus in this course is financial modeling beyond the Black-Scholes world. Then there is non-uniqueness of option pricing and perfect hedging is impossible. The market is incomplete: there is an inherent risk with option trading. In this course an important point is to handle the incompleteness.

The main approach here is modeling via jump process, in particular Lévy processes.

A fundament of the course is on building and simulating Lévy processes relevant in financial modeling.

Models with stochastic volatility are also included in the course.

Distance

To study on a distance education will give you different opportunities than on-campus teaching. It means that, to a large extent, you will be able to plan your studies yourself, both in terms of time and place.

However, keep in mind that most distance education includes a number of compulsory digital lectures and digital seminars during the weekdays. Some distance education also include compulsory get-togethers, for which you will have to travel to Växjö or Kalmar.

There are a number of different ways to be a distance student, the common denominator being that a large part of your study work is carried out on the web. You communicate with the teacher and your fellow students using a learning platform with discussion forums, group work, recorded lectures or video meetings using a web cam.

Students working