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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2013/2014 -
- ARCHIVE as at 1 September 2013 for reference only
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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Probability, Measure & Finance (MATH10024)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Course typeStandard AvailabilityAvailable to all students
Credit level (Normal year taken)SCQF Level 10 (Year 4 Undergraduate) Credits20
Home subject areaMathematics Other subject areaSpecialist Mathematics & Statistics (Honours)
Course website https://info.maths.ed.ac.uk/teaching.html Taught in Gaelic?No
Course descriptionCourse for final year students in Honours programmes in Mathematics.

Sigma-algebras and Borel sets. Measurable functions. Lebesgue measure and integral. Probability measure. Random variables. Distributions and distribution functions. Conditional expectation. Stochastic Processes. Martingales. Binomial Trees. Risk-neutral valuation. Cox-Ross-Rubinstein model. Stopping times. Brownian motion. Stochastic integral. Stochastic differential equations. Ito's lemma. Girsanov's theorem. Black & Scholes option pricing formula. Implied volatility. The Greeks.
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Financial Mathematics (MATH10003)
Co-requisites
Prohibited Combinations Other requirements None
Additional Costs None
Information for Visiting Students
Pre-requisitesNone
Displayed in Visiting Students Prospectus?Yes
Course Delivery Information
Delivery period: 2013/14 Full Year, Available to all students (SV1) Learn enabled:  Yes Quota:  None
Web Timetable Web Timetable
Course Start Date 16/09/2013
Breakdown of Learning and Teaching activities (Further Info) Total Hours: 200 ( Lecture Hours 44, Seminar/Tutorial Hours 10, Summative Assessment Hours 3, Programme Level Learning and Teaching Hours 4, Directed Learning and Independent Learning Hours 139 )
Additional Notes
Breakdown of Assessment Methods (Further Info) Written Exam 95 %, Coursework 5 %, Practical Exam 0 %
Exam Information
Exam Diet Paper Name Hours:Minutes
Main Exam Diet S2 (April/May)3:00
Summary of Intended Learning Outcomes
1. Understand the notion of probability measure and space.
2. Familiarity with conditional expectation and martingales.
3. Knowledge of the binomial tree technique applied in option pricing.
4. Familiarity with stochastic calculus.
5. Knowledge of the Black-Scholes model for European options.
6. Ability to calculate the Greeks.
Assessment Information
See 'Breakdown of Assessment Methods' and 'Additional Notes', above.
Special Arrangements
None
Additional Information
Academic description Not entered
Syllabus Not entered
Transferable skills Not entered
Reading list Not entered
Study Abroad Not entered
Study Pattern Not entered
KeywordsPMF
Contacts
Course organiserDr Sotirios Sabanis
Tel: (0131 6)50 5084
Email: S.Sabanis@ed.ac.uk
Course secretaryMrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk
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