Mathematical Finance MSc

Aims of the programme

The programme’s primary aim is to provide students with a knowledge and understanding of the main theoretical and applied concepts in the mathematics underlying modern finance theory. The focus of the programme is on mathematical theory and modelling, drawing from the disciplines of probability theory, scientific computing and partial differential equations to model relations between asset prices and interest rates, and to develop models for pricing, risk management and financial product development.


A further programme aim is to develop students’ power of inquiry, critical analysis and logical thinking and to apply theoretical knowledge to current issues of policy and practice. These skills will be essential in carrying out a piece of original empirical research.  This research constitutes the final dissertation stage of the Masters programme.  To this end, the programme offers high quality teaching informed by theoretical and empirical research and is taught by research-active staff.


Finally, the programme aims to provide a thorough training in financial mathematics to prepare students for careers in areas such as financial engineering, risk and investment management and derivative pricing. It also aims to provide many of the tools required to undertake high quality research in academic and financial institutions [MSc only]. The programme meets the requirements of the national qualifications framework for a level M (Masters) degree.


Intended Learning Outcomes of the programme

Upon completion of the programme, students passing at the MSc level of achievement should be able to demonstrate:


  • Advanced knowledge and systematic understanding of the main theoretical and applied concepts in mathematical finance including: hedging strategies; binomial model; risk-neutral      valuation; diffusion-type models for stock prices; Black-Scholes equation, stochastic volatility models.
  • A comprehensive knowledge and understanding of derivatives and financial engineering.
  • A critical understanding of stochastic calculus and be able to apply stochastic processes in discrete and continuous financial models.
  • An ability to draw from the disciplines of probability theory, scientific computing and partial differential equations to derive relations between fundamental variables such as asset pricing, market movements and interest rates, which can be used to develop models for pricing, monitoring, risk management and product development.
  • Knowledge and expertise in the development of a research enquiry and to select the tools necessary for executing the research; the skills to pursue independent learning, to analyse and      interpret quantitative and qualitative data and to present results in a form that is appropriate.
  • A critical awareness of research issues, methodologies and methods in mathematical finance, combined with a knowledge of corresponding skills in planning and managing a research      project equipping students to carry out a piece of research.

Course structure

There are eight course units to attend over two academic terms and a dissertation project to be completed in the summer term. Teaching of the course units is shared by the School of Mathematics and the Manchester Business School and delivered through lectures, case studies, seminars and group project-based work.

Full list of current course units

Summer term

In this term students will conduct an original study of a topic relating to the course and write a dissertation. NAG also funds an annual prize that is awarded to the best performing student in the January exams. You can view previous winners of the NAG Prize here 

Expected Background

We would encourage you to look through our MSc Mathematical Finance Expected Background before applying.


Contact us:

Tel:  +44(0)161 275 5826



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