Durham University
Programme and Module Handbook
This is an archived handbook for a previous year. The current undergraduate and postgraduate handbooks can be viewed using the links above.

Undergraduate Handbook 2025-2026 (archived)

Module MATH3301: MATHEMATICAL FINANCE III

Department: Mathematical Sciences

MATH3301: MATHEMATICAL FINANCE III

TypeLevelCreditsAvailabilityModule CapLocation
Open 3 20 Available in 2025/2026 Durham

Pre-requisites

  • Probability II (MATH2647)

Corequisites

  • One 20 credit Level 3 mathematics module.

Excluded Combinations

Aims

  • To provide an introduction to the mathematical modelling of financial derivative products.

Content

  • An introduction to options and markets.
  • Asset pricing in discrete and continuous time.
  • Brownian motion.
  • Stochastic calculus.
  • The Black-Scholes formulae.

Learning Outcomes

Subject-specific Knowledge
  • By the end of the module students will: have an understanding of basic option theory and Black-Scholes models.
Subject-specific Skills
  • Students will have skills in Stochastic Differential Equations and Finance.
Key Skills
  • Moreover, students will have developed an appreciation of, and ability in, mathematical modelling in the financial world.

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

  • Teaching is by lectures through which the main body of knowledge is made available.
  • Students do regular formative work solving problems to gain insight into the details of relevant theories and procedures.
  • End of year examination to assess the learning.

Teaching Methods and Learning Hours

ActivityNumberFrequencyDurationTotal HoursAttendance Monitored
Lectures 42 2 per week for 20 weeks and 2 in term 3 1 Hour 42
Problems Classes 8 Four in each of terms 1 and 2 1 Hour 8
Preparation and Reading 150
Total 200

Summative Assessment

ComponentComponent WeightingElementLength/DurationElement WeightingResit Opportunity
Examination 100% Written examination 3 hours 100%

Formative Assessment

Eight assignments to be submitted.


Students who do not attend monitored activities shown under Teaching Methods and Learning Hours, or who fail to complete the summative or formative assessment(s) specified above, may be subject to the Academic Progress procedures defined in the University's General Regulation V, and may be required to leave the University.