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Department of Mathematics

Math Models in Finance & Industry (832G1)

Mathematical Models in Finance and Industry

Module 832G1

Module details for 2023/24.

15 credits

FHEQ Level 7 (Masters)

Module Outline

In this module we study how partial differential equations arise in real-world problems of the financial industry. We derive and solve the Black-Scholes equation for pricing of financial options. In addition, we develop central concepts of discrete and continuous time models of financial markets and analyse numerical methods for such problems, including their stability analysis.

Module learning outcomes

Basic understanding of how the advection-diffusion equations arise in the modelling of the transport of a pollutant and the pricing of options.

Familiarity with formulae for solutions of the advection equation and the diffusion equation.

Knowledge of numerical methods for such problems, including their stability analysis.

TypeTimingWeighting
Report (1500 words)Spring Semester Week 7 Thu 16:0050.00%
Report (1500 words)Semester 2 Assessment Week 1 Tue 16:0050.00%
Timing

Submission deadlines may vary for different types of assignment/groups of students.

Weighting

Coursework components (if listed) total 100% of the overall coursework weighting value.

TermMethodDurationWeek pattern
Spring SemesterLecture2 hours11111111111
Spring SemesterLecture1 hour11111111111
Spring SemesterWorkshop2 hours00000000001

How to read the week pattern

The numbers indicate the weeks of the term and how many events take place each week.

Dr Kirsten Leslie

Convenor, Assess convenor
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