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Module

MAS2501 : Financial Mathematics (Inactive)

  • Inactive for Year: 2024/25
  • Module Leader(s): Dr Michael Dritschel
  • Owning School: Mathematics, Statistics and Physics
  • Teaching Location: Newcastle City Campus
Semesters

Your programme is made up of credits, the total differs on programme to programme.

Semester 1 Credit Value: 10
ECTS Credits: 5.0
European Credit Transfer System

Aims

To enable students to acquire active knowledge and understanding of some basic concepts in financial mathematics including discrete stochastic models for stocks and pricing of contingent claims.

Module summary

This course is intended to serve as a basic introduction to financial mathematics. It gives a mathematical perspective on the valuation of financial instruments (futures, options, etc.) and their risk-management.

Outline Of Syllabus

Time value of money, types of interest. Overview of basic concepts in securities markets. Stochastic models for stock prices. Hedging strategies. Binomial option pricing model. Risk-neutral valuation, replication and pricing of contingent claims. Black-Scholes analysis. Interest rate models.

Teaching Methods

Teaching Activities
Category Activity Number Length Student Hours Comment
Guided Independent StudyAssessment preparation and completion14:004:00Revision for class test
Scheduled Learning And Teaching ActivitiesLecture21:002:00Revision lectures
Guided Independent StudyAssessment preparation and completion113:0013:00Revision for unseen exam
Scheduled Learning And Teaching ActivitiesLecture261:0026:00Formal lectures
Guided Independent StudyAssessment preparation and completion12:002:00Unseen exam
Scheduled Learning And Teaching ActivitiesLecture11:001:00Class test
Scheduled Learning And Teaching ActivitiesLecture31:003:00Problem classes
Scheduled Learning And Teaching ActivitiesDrop-in/surgery41:004:00Tutorials in the lecture room
Scheduled Learning And Teaching ActivitiesDrop-in/surgery120:102:00Office hours
Guided Independent StudyIndependent study114:3014:30Studying, practising and gaining understanding of course material
Guided Independent StudyIndependent study52:3012:30Review of coursework assignments and course test
Guided Independent StudyIndependent study44:0016:00Preparation for coursework assignments
Total100:00
Teaching Rationale And Relationship

Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work. Problem Classes are used to help develop the students’ abilities at applying the theory to solving problems. Tutorials are used to identify and resolve specific queries raised by students and to allow students to receive individual feedback on marked work. In addition, office hours (two per week) will provide an opportunity for more direct contact between individual students and the lecturer: a typical student might spend a total of one or two hours over the course of the module either individually or as part of a group.

Assessment Methods

The format of resits will be determined by the Board of Examiners

Exams
Description Length Semester When Set Percentage Comment
Written Examination1201A85N/A
Written Examination401M5Class test
Other Assessment
Description Semester When Set Percentage Comment
Prob solv exercises1M10Coursework assignments
Assessment Rationale And Relationship

A substantial formal unseen examination is appropriate for the assessment of the material in this module. The coursework assignments will consist of two written assignments and two computer based assessments of approximately equal weight. The coursework assignments and the (in class, therefore 40 minute) coursework test allow the students to develop their problem solving techniques, to practise the methods learnt in the module, to assess their progress and to receive feedback; these assessments have a secondary formative purpose as well as their primary summative purpose.

Reading Lists

Timetable