ST213 Half Unit
Introduction to Pricing, Hedging and Optimization
This information is for the 2024/25 session.
Teacher responsible
Dr David Itkin
Availability
This course is compulsory on the BSc in Financial Mathematics and Statistics. This course is available as an outside option to students on other programmes where regulations permit. This course is available with permission to General Course students.
Pre-requisites
MA203 Real Analysis. Must be taken with ST202 Probability, Distribution Theory and Inference.
Course content
This course introduces the concepts of valuation, hedging and portfolio selection in a discrete-time environment. Towards the end, it introduces continuous-time markets in a heuristic fashion. It covers the following topics:
• The binomial model; pricing and replication.
• Trinomial model and incompleteness, arbitrage-free price intervals.
• General discrete-time models and the fundamental theorems.
• Portfolio optimization and hedging.
• Multi-period models and backwards induction methods.
• Passage to continuous time Black & Scholes model.
Teaching
This course will be delivered through a combination of classes, lectures and Q&A sessions totalling a minimum of 30 hours across Winter Term. This course includes a reading week in Week 6 of Winter Term.
Formative coursework
Students will be expected to produce 9 problem sets in the WT.
Certain problem sets will be returned with feedback.
Indicative reading
Lecture notes will be provided.
Assessment
Exam (80%, duration: 2 hours, reading time: 15 minutes) in the spring exam period.
Coursework (20%).
Key facts
Department: Statistics
Total students 2023/24: 46
Average class size 2023/24: 23
Capped 2023/24: No
Value: Half Unit
Course selection videos
Some departments have produced short videos to introduce their courses. Please refer to the course selection videos index page for further information.
Personal development skills
- Self-management
- Problem solving
- Communication
- Application of numeracy skills
- Specialist skills