Not available in 2020/21
ST439      Half Unit
Stochastics for Derivatives Modelling

This information is for the 2020/21 session.

Teacher responsible

Dr Luciano Campi COL 5.04


This course is compulsory on the MSc in Quantitative Methods for Risk Management. This course is available on the MSc in Statistics (Financial Statistics), MSc in Statistics (Financial Statistics) (LSE and Fudan) and MSc in Statistics (Financial Statistics) (Research). This course is available with permission as an outside option to students on other programmes where regulations permit.


Students must have completed Stochastic Processes (ST409).

Course content

Valuation and hedging of derivative securities: general principles of mathematical finance; asset price models; static vs dynamic option pricing; connection with PDEs; exotic options; volatility derivatives; mean-variance hedging; Dupire's formula.


20 hours of lectures and 10 hours of seminars in the LT.

Week 6 will be used as a revision week.

Formative coursework

Weekly homework will be set. Students are not expected to submit this homework but will go over the exercises in the following seminar with the lecturer.

Indicative reading

Steven Shreve, Stochastic Calculus for Finance II: Continuous-Time Models, Springer.

Selected papers from scientific journals.

Thorsten Rheinlander and Jenny Sexton, Hedging Derivatives, World Scientific.


Exam (100%, duration: 2 hours) in the summer exam period.

Student performance results

(2016/17 - 2018/19 combined)

Classification % of students
Distinction 20.9
Merit 30.4
Pass 31.3
Fail 17.4

Important information in response to COVID-19

Please note that during 2020/21 academic year some variation to teaching and learning activities may be required to respond to changes in public health advice and/or to account for the situation of students in attendance on campus and those studying online during the early part of the academic year. For assessment, this may involve changes to mode of delivery and/or the format or weighting of assessments. Changes will only be made if required and students will be notified about any changes to teaching or assessment plans at the earliest opportunity.

Key facts

Department: Statistics

Total students 2019/20: 26

Average class size 2019/20: 26

Controlled access 2019/20: No

Value: Half Unit

Guidelines for interpreting course guide information

Personal development skills

  • Problem solving
  • Application of information skills
  • Specialist skills