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MX5023: FINANCIAL MATHEMATICS (2026-2027)

Last modified: 22 Jul 2026 13:42


Course Overview

The course is a part of the MSc programme in Financial Technology and provides students with the theoretical and practical skills related to mathematical models of financial markets.

Course Details

Study Type Postgraduate Level 5
Term First Term Credit Points 30 credits (15 ECTS credits)
Campus Aberdeen Sustained Study No
Co-ordinators
  • Professor Jaroslaw J. Kedra
  • Dr Markus Upmeier

What courses & programmes must have been taken before this course?

  • Any Postgraduate Programme (Studied)

What other courses must be taken with this course?

None.

Are there a limited number of places available?

No

Course Description

The first part of the course introduces basic discrete time models of financial markets. The course combines financial motivation with mathematical rigour, and it covers subjects including option pricing based on the no-arbitrage principle in discrete time setting, portfolio management, forward and future contracts and other topics. The second part of the course is concerned with models in continuous time, and it introduces the Black-Scholes-Merton model and discusses its properties and applications.


Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

More Information about Week Numbers


Details, including assessments, may be subject to change until 31 August 2026 for Term 1 and Full Year courses and 8 January 2027 for Term 2 courses.

Summative Assessments

Homework (Problem Sheet)

Assessment Type Summative Weighting 30
Assessment Weeks 17 Feedback Weeks 19

Look up Week Numbers

Feedback

Homework (Problem Sheet) worth 30% of the overall grade.

Learning Outcomes
Knowledge LevelThinking SkillOutcome
ConceptualRememberRemember financial terminology.
ConceptualUnderstandUnderstand the No Arbitrage Principle.
ConceptualUnderstandUnderstand probability theory in the financial context.
ConceptualUnderstandUnderstand the concept of a risk-neutral measure.
ProceduralApplyApply tools of probability theory in the financial context.
ProceduralApplyUnderstand the derivation of the Black-Scholes-Merton model.
ProceduralApplyApply the Black-Scholes-Merton model in pricing options.
ProceduralApplyApply the No Arbitrage Principle.
ProceduralApplyUnderstand the basics of the Black-Scholes-Merton model.
ProceduralApplyUse risk-neutral measure in pricing options.

Homework (Problem Sheet)

Assessment Type Summative Weighting 30
Assessment Weeks 13 Feedback Weeks 15

Look up Week Numbers

Feedback

Homework (Problem Sheet) worth 30% of the overall grade.

Learning Outcomes
Knowledge LevelThinking SkillOutcome
ConceptualRememberRemember financial terminology.
ConceptualUnderstandUnderstand the No Arbitrage Principle.
ConceptualUnderstandUnderstand probability theory in the financial context.
ProceduralApplyApply tools of probability theory in the financial context.
ProceduralApplyApply the No Arbitrage Principle.

Exam

Assessment Type Summative Weighting 40
Assessment Weeks 20 Feedback Weeks 27

Look up Week Numbers

Feedback

Exam worth 40% of the overall grade. 

Learning Outcomes
Knowledge LevelThinking SkillOutcome
ConceptualRememberRemember financial terminology.
ConceptualUnderstandUnderstand the concept of a risk-neutral measure.
ConceptualUnderstandUnderstand the No Arbitrage Principle.
ConceptualUnderstandUnderstand probability theory in the financial context.
ProceduralApplyApply the No Arbitrage Principle.
ProceduralApplyApply tools of probability theory in the financial context.
ProceduralApplyUse risk-neutral measure in pricing options.
ProceduralApplyApply the Black-Scholes-Merton model in pricing options.
ProceduralApplyUnderstand the basics of the Black-Scholes-Merton model.

Formative Assessment

There are no assessments for this course.

Resit Assessments

Resubmission of failed element(s)

Assessment Type Summative Weighting
Assessment Weeks Feedback Weeks

Look up Week Numbers

Feedback
Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

Course Learning Outcomes

Knowledge LevelThinking SkillOutcome
ProceduralApplyUnderstand the derivation of the Black-Scholes-Merton model.
ConceptualUnderstandUnderstand probability theory in the financial context.
ConceptualRememberRemember financial terminology.
ProceduralApplyUnderstand the basics of the Black-Scholes-Merton model.
ProceduralApplyApply the Black-Scholes-Merton model in pricing options.
ProceduralApplyApply the No Arbitrage Principle.
ConceptualUnderstandUnderstand the concept of a risk-neutral measure.
ConceptualUnderstandUnderstand the No Arbitrage Principle.
ProceduralApplyApply tools of probability theory in the financial context.
ProceduralApplyUse risk-neutral measure in pricing options.

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