msc in financial modelling and optimization - school of
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MSc in Financial Modelling and Optimization
Programme Information
2013-2014
MSc in Financial Modelling and Optimization – Student Guide 2
Contents 1 Introduction ......................................................................................................................................... 4
2 Programme aims .................................................................................................................................. 4
3 Administration ..................................................................................................................................... 5
3.1 Programme Director ...................................................................................................................................5
3.2 Programme Secretary .................................................................................................................................5
3.3 Personal Tutors ...........................................................................................................................................5
3.4 Representation and feedback ....................................................................................................................6
4 Teaching and learning approach ........................................................................................................... 6
4.1 Core courses ...............................................................................................................................................6
4.2 Optional courses .........................................................................................................................................6
4.3 Dissertation.................................................................................................................................................7
4.4 Attendance .................................................................................................................................................8
4.5 Combining work and study .........................................................................................................................8
4.6 Coursework, cover sheets and group assignments ....................................................................................8
4.7 Plagiarism ...................................................................................................................................................9
4.8 Electronic submission and self-checking for plagiarism .......................................................................... 10
4.9 Special Circumstances ............................................................................................................................. 11
5 Dissertation ........................................................................................................................................ 11
5.1 Role of the academic supervisor ............................................................................................................. 12
5.2 Assessment criteria.................................................................................................................................. 12
5.3 Dissertation format ........................................................................................................................... 13
6 Programme Structure ......................................................................................................................... 13
6.1 Programme dates .................................................................................................................................... 13
6.2 Examinations ........................................................................................................................................... 14
7 Assessment requirements ................................................................................................................... 14
7.1 Unsatisfactory performance .................................................................................................................... 15
7.2 Appeals .................................................................................................................................................... 15
7.3 Complaints .............................................................................................................................................. 15
8 Individual course details ..................................................................................................................... 16
8.1 Core courses ............................................................................................................................................ 16
8.2 .................................................................................................................................................................. 20
Optional courses ............................................................................................................................................ 20
9 Facilities ............................................................................................................................................. 26
MSc in Financial Modelling and Optimization – Student Guide 3
9.1 James Clerk Maxwell Building ................................................................................................................. 26
9.2 University Library ..................................................................................................................................... 26
9.3 MSc Workroom ........................................................................................................................................ 26
9.4 Careers service ........................................................................................................................................ 26
9.5 Computer facilities .................................................................................................................................. 27
9.6 Travel ....................................................................................................................................................... 27
MSc in Financial Modelling and Optimization – Student Guide 4
1 Introduction
This handbook is a guide to what is expected of you on this MSc in Financial Modelling and Optimization
programme, and the academic and pastoral support available to you. Please read it carefully. It will help you
to make the most of your time on the Programme. Throughout this document references to the ``MSc in
Financial Modelling and Optimization programme'', ``FMO MSc'', or simply the ``Programme'' refer to the
degree programme in Financial Modelling and Optimization unless stated otherwise.
Some important general aspects covered in this handbook are amplified in the University of Edinburgh Code
of Practice for Taught Postgraduate Programmes, which you are expected to read and is available from
http://www.docs.sasg.ed.ac.uk/AcademicServices/Codes/CoPTaughtPGProgrammes.pdf
This handbook does not supersede the University of Edinburgh Regulations, which are available from
http://www.ed.ac.uk/schools-departments/academic-services/policies-regulations
Disclaimer: Every effort has been made to ensure the contents of this booklet are accurate at the time of
printing. Unforeseen circumstances, however, may necessitate changes to the procedures, curricula and
syllabuses described. The School of Mathematics undertakes to operate within the rules and regulations as
set out in the University Calendar and the Assessment Regulations. It will also honour undertakings made in
writing to individual classes, insofar as these do not conflict with the University's regulations.
Large print: Large print version of this Guide and other documents issued to students by the School of
Mathematics can be made available. Students requiring these should contact the Mathematical Teaching
Organisation (MTO). (Telephone 0131 650 6427)
2 Programme aims
The aims of the MSc in Financial Modelling and Optimization are:
provide a flexible syllabus of study relevant to the needs of employers today in areas such as the
financial sector, energy markets and those that use modern financial tools and optimization
techniques;
facilitate the professional development of students (with a strong mathematical background) in the
theory and practice of financial mathematics and optimization and lay the foundations for a
successful career to the benefit of the economy and society;
provide a sound knowledge base in the fields studied and develop the wider process skills of
Problem Solving (through the application of advanced mathematical techniques from the areas of
Modern Probability Theory, Stochastic Analysis and Optimization), Team Working and Time/Task
Management;
MSc in Financial Modelling and Optimization – Student Guide 5
3 Administration
3.1 Programme Director
Dr Sotirios Sabanis
School of Mathematics
Room 4610
James Clerk Maxwell Building
The King’s Buildings
The University of Edinburgh
Edinburgh EH3 9BW
Tel: +44 (0)131 650 5084
Email: [email protected]
The Programme Director is responsible for the smooth running of the programme, including promotion and
admission, plus coordination of teaching delivery, examinations, programme evaluation, and curriculum
development. It is also the Programme Director's role to act as arbitrator in the case of requests for deadline
extensions and any other academic issues relating to individual courses that cannot be resolved between the
student and the course lecturer.
3.2 Programme Secretary
Dr Jenna Mann/ Mrs Katy McPhail,
School of Mathematics
Room 5211
James Clerk Maxwell Building
The King’s Buildings
The University of Edinburgh
Edinburgh EH3 9BW
Tel: +44 (0)131 650 4885
Email: [email protected] or [email protected]
3.3 Personal Tutors
Each student will be assigned to a Personal Tutor (PT). Your Personal Tutor is available as a first line of advice
for any academic issues which may arise whilst you are on the Programme. He/she is charged with
facilitating your orientation and smooth progression through the degree, from initial induction to
subsequent course choice, and the transition into the project/dissertation stage to successful completion.
He/she is also available to provide first line pastoral support. You are strongly advised to inform your
Personal Tutor immediately of any problems that are interfering with your coursework or progress through
the Programme, including any religious or medical requirements that might affect your participation in any
aspect of the Programme.
Other sources of specialist academic and pastoral support are listed in Appendix IV of the Code of Practice
for Taught Postgraduate Programmes.
MSc in Financial Modelling and Optimization – Student Guide 6
3.4 Representation and feedback
Student feedback and evaluation is a valued input to curriculum and programme review and development of
the University of Edinburgh. Formally, students are asked to complete evaluation forms for each course they
take, and to attend (or select representatives for) Staff-Student Liaison Committee meetings.
Representatives are also welcome to participate in the Edinburgh University Students' Association. Informal
feedback is welcome at any time.
4 Teaching and learning approach
The study programme for the FMO MSc consists of:
9 compulsory courses including 2 full year course,
12 optional courses,
1 project.
4.1 Core courses
The core courses deal with the technical knowledge and practical skills that are essential for anyone who is
to graduate with an MSc in Financial Modelling and Optimization. There are nine core courses:
Semester 1
Discrete-Time Finance (15 points)
Stochastic Analysis in Finance I (7.5 points)
Fundamentals of Optimization (10 points)
Finance, Risk and Uncertainty (10 points)
Semester 2
Risk-Neutral Asset Pricing (15 points)
Stochastic Analysis in Finance II (7.5 points )
Simulation (10 points)
Optimization Methods in Finance (15 points)
Full Year
Research-Linked Topics (5 points)
Brief descriptions of these courses and links to the Degree Regulations and Programmes of Study (DRPS) can
be found in Section 8.1.
4.2 Optional courses
The optional courses allow each student to specialise in a range of skills that suits his/her own career
development. Your Personal Tutor will discuss with you the appropriate choice of optional courses based on
your background and progress on the Programme to date. You will be asked to make a provisional choice of
MSc in Financial Modelling and Optimization – Student Guide 7 optional courses for both Semesters at the start of the year. You can sign up for more than 120 credits at this
stage. You will not be allowed to sign up for new Semester 1 courses after 25 September 2013 or Semester 2
courses after 22 January 2014. We will ask you to confirm course cancellations for Semester 1 by 18 October
2013 and by 14 February 2014 for Semester 2 courses. A student is allowed to withdraw from a course, at
any time up to the end of week six of the Semester, providing that the student has not taken any
assessment on that course.
The list of optional courses is given below. The list is provisional at this stage as optional courses will not
normally run with fewer than 5 students.
Semester 1
o Computing for Operational Research and Finance (10 points)
o Programming Skills (10 points)
Semester 2
o Advanced Time Series Econometrics (10 points)
o Combinatorial Optimization (5 points)
o Credit Scoring and Data Mining (10 points)
o Financial Risk Management (10 points)
o Fundamentals of Operational Research (10 points)
o Microeconomics 2 (10 points)
o Nonlinear Optimization (10 points)
o Risk Analysis (5 points)
o Stochastic Modelling (10 points)
o Stochastic Optimization (5 points)
Brief descriptions and links to the DRPS of these courses can be found in Section 8.2.
4.3 Dissertation
During the period from June to August, candidates for the MSc work on a project on an approved topic and
write a dissertation based on this work. The project gives the student the opportunity to apply skills
developed earlier in the programme to real problems in Financial Mathematics and Optimization. Projects
often take the form of a consultancy exercise for a sponsoring organisation.
Students are strongly encouraged to seek the opportunity to do their project in collaboration with an outside
partner in a bank, financial institution or an organisation which has a requirement for consultation by a
Financial Mathematics analyst with specialisation in Optimization. A wide variety of organisations provide
project topics and assist with their supervision. Projects need to be accepted by the Project Coordinator, Dr
Lukasz Szpruch, to ensure they are suitable for an MSc.
Here is a list of different types of dissertations. This list is not exhaustive, nor are its members mutually
exclusive; it is just meant to give some ideas about what makes an acceptable dissertation.
MSc in Financial Modelling and Optimization – Student Guide 8
A subject review surveys a chosen area, summarising the research literature and providing an
overview of its development, importance, methodology and outstanding problems.
A theoretical essay describes, in considerable depth, some piece of mathematical theory relevant to
finance. Papers in research journals are often very terse and assume a lot of prior knowledge on the
part of the reader; and acceptable project could be to explain a recent paper, making its results
more accessible and putting them in context.
A numerical project would describe and implement one or more numerical methods for pricing,
hedging or reserving for derivatives or portfolios, and perhaps aim to measure how well it
performed using real or simulated data.
A data-based project would analyse market or other data, fitting them to suitable models and
drawing conclusions.
4.4 Attendance
Lecture attendance is compulsory. The Programme Director must be notified in writing, or by e-mail, of
absence of more than a week from lectures for medical, personal, or other reasons. During the project
period you will have meeting with your supervisor. These are also compulsory.
4.5 Combining work and study
It should be stressed that the programme is full-time. You should expect to spend 40 hours per week
attending classes, working on the delivered material and preparing assignments for submission. Unless you
manage your time well, there will be weeks (particularly towards the end of Semester 2) when you will have
to work significantly more than 40 hours. As a consequence, it is recommended that students do not take
any employment. The University recommends a full time student not to work more than 16 hours per week
during term or during the summer months when the MSc dissertation is prepared. Students can take a part-
time job only under the condition that such an activity will not adversely affect their performance on the
MSc. Any part-time job which would exceed 16 hours per week needs special permission from the
Programme Director.
4.6 Coursework, cover sheets and group assignments
The coursework requirements---case studies, essays, and other projects---vary between courses, as does the
balance of the methods of assessment. The weighting of coursework and examinations for individual courses
is given in the information for each course.
All coursework must be submitted with a completed cover sheet, stapled in the top left corner, and handed
to the Programme Secretary, JCMB Room 5211. Completed work must not be handed directly to any other
member of staff or submitted by any other means. Cover sheets are available in JCMB 5211 (and on-line) and
have a number of functions.
They provide fields for a clear statement of the student's name and matriculation number
They contain an “own work declaration” that may be used in cases of suspected plagiarism
They allow comments on the coursework to be communicated to the lecturer
MSc in Financial Modelling and Optimization – Student Guide 9
They enable the coursework mark and written feedback to be returned to the student
Until a completed cover sheet has been provided, the work will not be considered to have been
submitted.
All students must adhere to deadlines for the submission of work. Work handed in late will incur a penalty.
The penalty for late submission is a reduction of the mark by 5% of the maximum obtainable mark per
calendar day (e.g. a mark of 65% on the common marking scale would be reduced to 60% up to 24 hours
later). This applies for up to five calendar days (or to the time when feedback is given, if this is sooner), after
which a mark of zero will be given. Note that the reference to “calendar days” includes weekends and public
holidays. Students may not, for example, submit work on a Monday morning for a Friday deadline in the
expectation that no late penalty will be applied. If there is likely to be a delay due to illness or other crisis,
the Programme Director must be informed in writing so that an extension may be considered.
4.7 Plagiarism
The following is based on an extract from the guidelines for Colleges on the avoidance of plagiarism:
The University's degrees and other academic awards are given in recognition of the candidate's
personal achievement. Plagiarism (that is to say the action of including or copying, without adequate
acknowledgement, the work of another in one's own work) is academically fraudulent, and an
occurrence against University discipline.
Plagiarism, at whatever stage of the candidate's course, whether discovered before or after
graduation, will be investigated and dealt with appropriately by the University. If after investigation it
is established that work submitted has been plagiarised to a significant extent, that will be
permanently noted on a candidate's record.
Cheating and plagiarism are academic occurrences. Plagiarism can be defined as the act of including or
copying, without adequate acknowledgement, the work of another in one's own work as if it were one's
own.
The University's procedures used in case of a presumed plagiarism can be found in the University's Code of
Practice for Taught Postgraduate Programmes and the University Regulations.
The University's full information on plagiarism
http://www.ed.ac.uk/schools-departments/academic-services/students/postgraduate-
taught/discipline/plagiarism
includes specific guidance for undergraduate/postgraduate taught students
http://www.docs.sasg.ed.ac.uk/AcademicServices/Discipline/StudentGuidanceUGPGT.pdf
This includes the University's procedures for dealing with different kinds of plagiarism and advice about what
to do if you are accused of plagiarism. If you are still unsure how to avoid plagiarism, having read these
guidance notes, then you should approach the Programme Director for further advice.
The University of Edinburgh encourages discussion in the preparation of all work and cooperation in finding
sources of material. This is essential in group work, but any work submitted in an individual's name must be
MSc in Financial Modelling and Optimization – Student Guide 10 prepared solely by that person. Using any published source whether private, public or from the internet
without providing a full reference, or using other students' work are disciplinary occurrences which could
lead to reduced or no marks being awarded for the work, and in extreme cases to immediate termination of
studies. Students should therefore make sure that they are quite clear about the status of every piece of
work they submit, including computer based material such as spreadsheets and computer programs. An
individual assignment must be wholly and exclusively the work of the student submitting the assignment.
Any common material found in such assignments may be treated as plagiarism, with serious consequences
for the students concerned.
The definition of plagiarism varies from educational system to educational system, and this can be a source
of misunderstandings. However, it must be absolutely clear that students must not copy another person's
work or claim another person's work as their own. Students must be aware of possible dangers in this area.
For this reason:
Always ensure the references for quotations are provided.
Do not take an extract from any text without placing quotation marks around it and referencing the
source.
If a diagram is used or adapted, give a reference to the source.
If, in an assignment, a student draws upon work performed by him/her-self outside the programme
or prior to attendance on the programme, this must be clearly indicated in the assignment.
If in doubt, check with the Programme Director.
Past experience shows that specific procedures are required to prevent, deter and detect plagiarism. To
prevent plagiarism of certain important handwritten assignments in core courses, they will be written up
under supervision. To detect plagiarism in typeset work, all the submissions will analysed using the
plagiarism detection software “Turnitin”.
4.8 Electronic submission and self-checking for plagiarism
In addition to the hard copy, most assignments requiring typeset work (and the dissertation project) must be
submitted electronically. This is done via “Learn”, from “MyEd”. Independently, students will also be able to
perform a self-check for plagiarism using “Turnitin”. This is also available from “MyEd”. This will compare the
text of your submission against the following sources
Turnitin's student paper repository
Current and archived internet
Periodicals, journals and publications
What you self-check for plagiarism will not be compared with submissions from other students on the
Programme, nor will it be retained in Turnitin's student paper repository. The final, formal submission that
you make via Learn will be checked for plagiarism against the sources above and submissions from other
students on the Programme. It will also be retained in Turnitin's student paper repository.
It is hoped that these procedures, together with the sanctions that can be applied if plagiarism is detected,
will deter the members of the FMO MSc class who might, otherwise, cheat in order to get higher marks.
MSc in Financial Modelling and Optimization – Student Guide 11
4.9 Special Circumstances
You should let either the Programme Director or your Personal Tutor know if you feel an illness, or other
circumstances out-with your control, is either impacting on your studies, or may impact on your examination
performance. For formal consideration of your case by the School, you will be required to supply appropriate
supporting documentation and/or medical evidence to your Personal Tutor and give your permission for
them to submit your case. The School will consider all submitted cases and make its recommendations to the
Board of Examiners for approval.
For more information on what circumstances are deemed appropriate, see the College of Science and
Engineering guidelines:
https://www.wiki.ed.ac.uk/download/attachments/174590921/Student+Guide+to+College+Special+Circums
tances+Policy+20130901DW.pdf?version=1
5 Dissertation
The dissertation gives students the opportunity to make use of the knowledge and skills developed on the
programme, frequently by working on a real mathematical finance problem within an organisation, although
dissertation projects may also be desk/library based.
Prior to the final assessment of the taught component of the MSc programme, all students are considered as
MSc candidates. Following the Board of Examiners meeting in June, students who complete the taught
component at MSc level proceed to the dissertation stage of the MSc programme. The award of the MSc
degree thereafter depends solely on the achievement of a dissertation mark of at least 50%.
It is the responsibility of each MSc candidate to prepare a dissertation on a subject chosen by agreement
with a member of staff who will act as an Academic Supervisor. Dissertation topics will be agreed by mid-
May. Detailed work will be carried out during the months of June, July and August, with sufficient time being
allocated to writing up the dissertation. In many cases the research for the dissertation will involve working
with an outside organisation for at least part of the summer months.
University regulations require full-time postgraduate students to be in Edinburgh for the duration of the
Programme, unless specifically granted a leave of absence. This will not be given to enable the student to
submit a dissertation early in order to return home prior to the end of the programme. Completing a
dissertation in less than the time available is also extremely unwise as early completion may adversely affect
the standard of work and presentation.
Two typeset copies of the dissertation must be submitted to the Programme Secretary (JCMB Room 5211) by
11.00am on 18 August 2014. An electronic version of the dissertation must also be submitted via “Learn” by
this deadline. If commercial confidentiality requires that a dissertation be treated as confidential, this can be
arranged by informing the office at the time of submission. Confidential dissertations will be read by the
Academic Supervisor and examiners, and will not be available for reference.
Dissertations are read by two internal examiners before being reviewed by the External Examiner. A copy of
the dissertation can be collected by the student after the final Board of Examiners meeting in
September/October.
MSc in Financial Modelling and Optimization – Student Guide 12 You are strongly advised to keep a back-up draft of your dissertation and not to use a USB pendrive for this
purpose since they are easily lost or damaged. No compensation or extension will be given for work or data
lost by students.
5.1 Role of the academic supervisor
The Academic Supervisor will give advice on the subject area, relevant literature, presentation
format, methodology, structure of the dissertation, and scheduling of the work to be done. The final
responsibility for the dissertation always lies with the student. Advisers are not expected to read and
amend chapters, but they may require periodic progress reports and sample chapters. The
responsibility for the quality and content of a dissertation lies with the author of the dissertation.
Academic staff acting as Academic Supervisors cannot be expected to be available at all times,
especially during the summer period, although staff will provide back-up facilities during their
absence. Meetings should be arranged between Academic Supervisors and students at regular
intervals, as appropriate. These meetings are primarily the initiative of the student. The frequency of
contact with Academic Supervisors depends on the wishes of the individual student and Academic
Supervisor, but students should try to discuss progress with their Academic Supervisors at least once
every 2 or 3 weeks, with more frequent discussions in the early stages.
In the case of projects based in an outside organisation, Academic Supervisors may visit the students
in the organisation.
Students may ask their Academic Supervisors to read a draft of part of the dissertation, but it is up to
the Academic Supervisor's professional judgement as to how much of the dissertation he or she is
willing to read. Clearly, an Academic Supervisor cannot examine a dissertation before it is formally
submitted and any comments which an Academic Supervisor makes on a draft are provisional in that
the Board of Examiners may come to a decision which differs from that of the Academic Supervisor.
5.2 Assessment criteria
All dissertations are expected to conform to the following standards:
The dissertation must add to the understanding of the dissertation subject.
The dissertation must show awareness of the relevant literature.
The dissertation must contain relevant analysis: an informed description of a problem is not
sufficient.
The dissertation must be presented using a satisfactory standard of English.
Students should inform their Academic Supervisor and the Programme Director of any factors that will
adversely affect their ability to work on their dissertation topic. Extenuating circumstances will be taken into
account by the Board of Examiners, but this information must be available prior to the meeting of the Board.
Exceptionally, it is possible for extensions to be granted if justified by illness or other personal problems. This
can be done if relevant information is given to the Academic Supervisor or the Programme Director.
MSc in Financial Modelling and Optimization – Student Guide 13
5.3 Dissertation format
Dissertations should consist of the following:
- Title page with your NAME, MATRIC NUMBER, PROGRAMME TITLE, DISSERTATION TITLE and YEAR
- Abstract
- Acknowledgements
- Own work declaration (signed and dated)
- Table of contents
- Main text (including introductory chapter and final chapter on conclusions and/or recommendations)
- Appendices (optional)
- Bibliography
The main text of the dissertation must not exceed 35 pages, based upon a 12-point font size and 1.0-line
spacing. The main text referred to here, does not include such things as tables, graphs, figures, appendices
and computer code.
Dissertations must be type set on one side of white A4 paper only. The following minimum margins must be
observed.
Left 30mm Right 15mm Top 15mm Bottom 20mm
The pages in the main text, appendices and bibliography must be numbered consecutively.
6 Programme Structure
6.1 Programme dates
Induction Week: 9 - 13 September 2013
Semester 1
o Teaching period: 16 September - 6 December 2013
o December exams: 9 December - 20 December 2013
o Winter break: 23 December 2013 - 10 January 2014
The School of Mathematics will be closed during the period 23 December - 10 January (inclusive)
and (for security reasons) students will not be able to gain admittance.
Semester 2
o Teaching period: 13 January - 4 April 2014
o Spring break: 7 April - 18 April 2014
MSc in Financial Modelling and Optimization – Student Guide 14
o April/May exams: 21 April - 23 May 2014
o Summer break: 26 May - 30 May 2014
MSc Project (dissertation): 2 June - 18 August 2014
MSc dissertations are to be submitted by 11.am on 18 August 2014. Late submissions are penalised.
See Item 4.6 for details of the penalty for late submission.
6.2 Examinations
Students must attend all examinations. Students who do not attend an examination will be deemed to have
failed. If there are special circumstances relating to the non-attendance, a Special Circumstances form and
appropriate documentation must be submitted no later than two days after the last affected assignment.
Students will not be excused from the examinations because of holiday plans.
The Registry will give details of the location of each examination once this is known. Information on the form
of the examination will be given for each course. There are no resit examinations for any of the courses on
the programme.
6.2.1 Dictionaries in Examinations
No student is permitted to take any dictionary into an examination without written permission. Please
consult the programme secretary Mrs Katy McPhail.
6.2.2 Calculators
Only a calculator from the following list (specified by the College of Science and Engineering) may be used in
examinations.
Make Model
Casio fx85 (any version, e.g. fx85WA, fx85MS)
Casio fx83 (any version)
Casio fx82 (any version)
7 Assessment requirements
To determine the overall assessment of the taught component on the University Common Marking Scale
(UCMS), courses are weighted. Each core course worth 15 points has a weighting of 1/8 (or 15/120), each
core course worth 10 points has a weighting of 1/12 (or 10/120) and each core course worth 7.5 points has a
weighting of 1/16 (or 7.5/120). The total weight of core courses is 3/4.
Similarly, each optional course worth 15 points has a weighting of 1/8 each optional course worth 10 points
has a weighting of 1/12 and each optional course worth 7.5 points has a weighting of 1/16. Students must
choose optional courses having a total weight of 1/4.
MSc in Financial Modelling and Optimization – Student Guide 15 The UCMS mark for the taught component of the Programme is the weighted average over courses (core
and optional courses). Sufficient conditions for the various awards that can be made are set out in Table 1.
The University’s Taught Assessment Regulations (specifically Regulation 51-54 for 2013-14) state the
minimum requirements for each award and can be found at
http://www.docs.sasg.ed.ac.uk/AcademicServices/Regulations/TaughtAssessmentRegulations.PDF
Upon completion of the taught component of the Programme, any student satisfying the conditions set out
in the penultimate column of Table 1, will be permitted to proceed to the dissertation. Note that candidates
are not allowed to re-sit a paper in order to be considered for the award of MSc.
Diploma Dip with Distinction MSc MSc with Distinction
All courses average 40% 70% 50% 70%
80 points at 50% No No Yes Yes
80 points at 40% Yes Yes Yes Yes
Project/Dissertations No No 50% or above 70% or above
Table 1: Sufficient conditions for a given award. Percentages are UCMS. Students should note that in order
to be eligible for an MSc with Distinction, all courses must be passed at 40% or above (Regulation 54.5).
7.1 Unsatisfactory performance
Under the rules drawn up by the University, the Head of the School of Mathematics can, on the advice of the
Programme Director, formally request a student who is not performing adequately, or has otherwise
breached University discipline, to withdraw from the programme at any time during the programme.
7.2 Appeals
The University regulations for postgraduate appeals can be found in the University's Code of Practice for
Taught Postgraduate Programmes and Academic Services Appeals.
http://www.docs.sasg.ed.ac.uk/AcademicServices/Codes/CoPTaughtPGProgrammes.pdf
http://www.ed.ac.uk/schools-departments/academic-services/students/postgraduate-taught/academic-
appeals
7.3 Complaints
We would encourage students to raise any problems (either academic or personal) as quickly as possible by
approaching their Student Representative, Personal Tutor, course staff and the Advice Place, as appropriate.
When such matters cannot be resolved informally, the University has a formal student complaints procedure
which can be found at
http://www.ed.ac.uk/schools-departments/student-academic-services/student-complaint-procedure
MSc in Financial Modelling and Optimization – Student Guide 16
8 Individual course details
8.1 Core courses
Brief details for the core courses are listed below, including the number of teaching hours and delivery
period. For details of the syllabus and recommended texts for a particular course, please use the link to the
DRPS for that course.
Discrete-Time Finance
(30+ hours, semester 1)
Lecturer: Dr Sotirios Sabanis
Aims
To introduce, in a discrete time setting, the basic probabilistic ideas and results needed for the later
stochastic process and derivative pricing courses. By the end of the course students will be expected to
understand discrete martingale theory and its relationship with financial concepts such as arbitrage.
Assessment
Discrete-Time Finance will be assessed by 100% exam.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11075.htm
Finance, Risk and Uncertainty
(30 hours, semester 1)
Lecturers: Prof John Davies
Aims
To provide key concepts in Finance which are integral part of the theory of Financial Math-
ematics.
Assessment
Finance, Risk and Uncertainty will be assessed by 30% coursework and 70% exam.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11088.htm
MSc in Financial Modelling and Optimization – Student Guide 17
Fundamentals of Optimization
(22 hours, semester 1)
Lecturer: Prof Jacek Gondzio
Aims
Many management decision problems can be formulated as Linear Programming problems. This core course
introduces the theory and application of this important optimization technique. Syllabus: Convexity; Linear
Programming: model formulation, simplex method: tableau form, revised SM, geometric interpretation,
sensitivity analysis; Extensions and applications of LP: goal programming, data envelopment analysis (DEA),
transportation problems, piecewise linear objective, cutting plane methods; Duality in LP, Lagrangian
Relaxation; Solving LP problems using commercial mathematical programming software; Public domain
software for optimization, NEOS.
Assessment
Fundamentals of Optimization will be assessed by 20% coursework and 80% exam.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11111.htm
Optimization Methods in Finance
(20 hours, semester 2)
Lecturer: Dr Peter Richtarik
Aims
This course will demonstrate how recent advances in optimization modelling, algorithms and software can
be applied to solve practical problems in computational finance. Previous exposure to optimization theory
and methods is not assumed.
Assessment
Optimization Methods in Finance will be assessed by 50% coursework and 50% exam.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11110.htm
MSc in Financial Modelling and Optimization – Student Guide 18
Research-Linked Topics
(18 hours, full year)
Lecturer: Dr Sotirios Sabanis
Aims:
Research linked material presented to the students so as to allow them to work on a particular active
problem in financial mathematics.
The Research-Linked Topics consist of two short courses with a grand total of 5 points. They are taken as
guided reading courses in weeks 10-13 of semester 1 and in weeks 7-12 of semester 2. In each semester,
students choose 1 topic from a list which may vary from year to year. The topics are assessed by either oral
presentation and/or short written essay. A topic is assessed in week 13 of semester 1, and another topic is
assessed in week 11 of semester 2. The combined weight of the topics is 5 points, that is, each is worth 2.5
points.
Assessment
Research-Linked Topics will be assessed by 100% coursework.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11079.htm
Risk-Neutral Asset Pricing
(30 hours, semester 2)
Lecturer: Dr Miklos Rasonyi
Aims
To provide solid mathematical foundations for pricing derivative products in financial markets, highlighting
the points where the idealized and the realistic diverge.
Assessment
Risk-Neutral Asset Pricing will be assessed by 100% exam.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11118.htm
MSc in Financial Modelling and Optimization – Student Guide 19
Simulation
(22 hours, semester 2)
Lecturer: Dr Lukasz Szpruch
Aims
Introduction to Monte Carlo methods and random number generation. Use of simulation for option pricing.
Variance reduction methods. Stochastic programming, coherent risk measures and value at risk.
Assessment
Simulation will be assessed by 5% coursework and 95% exam.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath10015.htm
Stochastic Analysis in Finance I & II
(20 hours, semester 1; 20 hours, semester 2)
Lecturers: Prof Istvan Gyongy and Dr Sotirios Sabanis
Aim
This course will provide and develop the key mathematical ideas which are used in derivative pricing. By
spending a significant proportion of time on this particular topic it is hoped that the students develop a good
understanding of the mathematics. This will provide a rigorous framework for the derivative pricing course
enabling students to understand where the assumptions in the models break down.
Assessment
Stochastic Analysis in Finance I and II will be assessed together by one examination.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11076.htm
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11077.htm
MSc in Financial Modelling and Optimization – Student Guide 20
8.2 Optional courses
Brief details for optional courses are listed below, including the number of teaching hours and delivery
period. For details of the syllabus and recommended texts for a particular course, please use the link to the
DRPS for that course. The list of optional courses below is provisional at this stage. Some courses may not be
available in a specific year.
Advanced Time Series Econometrics
(18 hours, semester 2)
Course Organiser: Prof Jonathan Thomas (Economics)
Aims
This module explores further topics in time series econometrics. Students will be introduced to various tools
that are part of the basic econometric training of professional economists. **Students must seek permission
from their PT and email [email protected] in advance to request permission**
Assessment
Advanced Time Series Econometrics will be assessed by 100% exam.
http://www.drps.ed.ac.uk/13-14/dpt/cxecnm11049.htm
Combinatorial Optimization
(10 hours, semester 2)
Lecturer: Prof Jonathan Thomas (Economics)
Aims
This course will discuss both mathematical programming and heuristic approaches to solving combinatorial
optimization problems.
Assessment
Combinatorial Optimization will be assessed by 100% coursework.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11030.htm
MSc in Financial Modelling and Optimization – Student Guide 21
Computing for Operational Research and Finance
(10 hours, semester 1)
Lecturer: Dr Andreas Grothey and Chaman Kumar
Aims
This course gives an introduction to several packages, including LaTeX, Matlab and Excel, via applications
relevant to OR and Finance, then develops basic skills in java programming.
Assessment
Computing for Operational Research and Finance will be assessed by 100% coursework.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11128.htm
Credit Scoring and Data Mining
(13 hours, semester 2)
Lecturers: David Edelman and Prof Nick Radcliffe
Aims
Understanding how large data sets can be used to model customer behaviour. How such data is gathered,
stored and interrogated and its use to cluster, segment and score individuals. The aim is to look at the largest
applications in more detail. Credit scoring is the process of deciding, whether or not to grant or extend a
loan. Sophisticated mathematical and statistical models have been developed to assist in such decision
problems.
Assessment
Credit Scoring and Data Mining will be assessed by 100% coursework.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11040.htm
MSc in Financial Modelling and Optimization – Student Guide 22
Financial Risk Management
(20 hours, semester 2)
Lecturer: Emmanuel Fragniere
Aims
Risk is a key factor in many financial decisions. The ability to assess risk and hedge the decision against it
needs to be translated into quantitative measures.
Assessment
Financial Risk Management will be assessed by 100% coursework.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11046.htm
Fundamentals of Operational Research
(22 hours, semester 1)
Lecturer: Dr Andreas Grothey
Aims
Dynamic programming is a neat way of solving sequential decision optimization problems. Integer
Programming provides a general method of solving problems with logical constraints. Game theory is
concerned with mathematical modelling of behaviour in competitive strategic situations in which the success
of strategic choices of one individual (person, company, server, ...) depends on the choices of others.
Assessment
Fundamentals of Optimization will be assessed by 20% coursework and 80% exam.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath10065.htm
MSc in Financial Modelling and Optimization – Student Guide 23
Microeconomics 2
(20 hours, semester 2)
Course Organiser: Prof Jonathan Thomas (Economics)
Aims
To give students a command of the main tools of microeconomic analysis, so that they can undertake
advanced work in areas such as industrial economics, public economics, labour economics, environmental
economics, international economics and finance; and to show how such microeconomic analysis can be
applied in making the transition from theoretical models to empirical/policy models. An introduction to
models of information and incentives, including adverse selection, signalling and screening. **Students must
seek permission from their PT and email [email protected] in advance to request permission**
Assessment
Microeconomics will be assessed by 100% exam.
http://www.drps.ed.ac.uk/13-14/dpt/cxecnm11025.htm
Nonlinear Optimization
(22 hours, semester 2)
Lecturer: Sergio Garcia-Quiles
Aims
To introduce students to the analysis of nonlinear optimization problems and to present the classical
methods for solving nonlinear optimization problems with and without constraints, and nonlinear equations.
Assessment
Nonlinear Optimization will be assessed by 5% coursework and 95% exam.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11031.htm
MSc in Financial Modelling and Optimization – Student Guide 24
Programming Skills
(22 hours, semester 1)
Lecturer: Dr Mike Jackson
Aims
This course aims to provide students with practical experience of tools and techniques which will help
students to become a more effective programmer, to do more, to a higher degree of quality in less time and
with less effort. These fundamentals of good programming are applicable to any programming language.
Assessment
Programming Skills will be assessed by 100% coursework.
http://www.drps.ed.ac.uk/13-14/dpt/cxpgph11079.htm
Risk Analysis
(12 hours, semester 2)
Lecturers: Prof Ken McKinnon
Aims
Risk analysis deals with the assessment and management of the risk form unlikely but costly events. This
course will introduce the risk analysis methodology.
Assessment
Risk Analysis will be assessed by 100% coursework.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11009.htm
MSc in Financial Modelling and Optimization – Student Guide 25
Stochastic Modelling
(20 hours, semester 2)
Lecturer: Dr Burak Buke
Aims
Uncertainty and randomness serve to make decision problems encountered in industry non-trivial.
Uncertainty is quantified through the study of probability. This course aims to cover an important area of
Applied Probability, namely Markov Processes. The second part of the course deals with continuous time
processes, including the application to queueing problems which form the subject of many OR investigations.
Assessment
Stochastic Modelling will be assessed by 20% coursework and 80% exam.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11029.htm
Stochastic Optimization
(10 hours, semester 2)
Lecturer: Dr Roberto Rossi
Aims
Stochastic optimization deals with the optimization problems with uncertain data. The modelling objective is
to find the best way to hedge against the resulting risk. The applications considered are: portfolio analysis,
strategic planning, sequential sampling and production problems.
Assessment
Stochastic Optimization will be assessed by 20% coursework and 80% exam.
http://www.drps.ed.ac.uk/13-14/dpt/cxmath11010.htm
MSc in Financial Modelling and Optimization – Student Guide 26
9 Facilities
9.1 James Clerk Maxwell Building
Your right to be in the building and means of access are as follows
08:00 - 18:00 Monday-Friday: No restriction on access
18:00 - 21:00 Monday-Friday and 09:00 - 17:00 Saturday and Sunday: You are allowed in the building
and your student card will give you access.
At all other times you are not permitted to be in the building and your student card (even with the
PIN) should not give you access.
If you are found in the building when you are not permitted to be then you must leave when asked to do so.
9.2 University Library
The University of Edinburgh has excellent library facilities. The libraries which are most likely to be relevant
for this programme are:
Noreen and Kenneth Murray Library, King's Buildings, West Mains Road, Edinburgh EH9 3JF. Tel:
0131 650 5784
Main Library, George Square, Edinburgh, EH8 9LJ, tel: 0131 650 3409.
For the opening hours see:
http://www.ed.ac.uk/schools-departments/information-services/library-museum-gallery/using-libraries
9.3 MSc Workroom
The MSc workroom is 5210 in JCMB. Near 5210 is the “kitchen area" of the School of Mathematics with a
sink, fridge, microwave, cupboards and kettle for the use of all occupants of the 5210 room.
9.4 Careers service
The University of Edinburgh Careers Service offers advice, information and practical help in all matters
relating to the development of students' future work or study plans. The Careers Service offices are at:
Weir Building, West Mains Road, Edinburgh EH9 3JY Tel: 0131 650 5773 Fax: 0131 650 6704 Email:
33 Buccleuch Place, Edinburgh, EH8 9JS Tel: 0131 650 4670 Fax: 0131 650 4479 Email:
For the opening hours see the Careers Service web site: http://www.careers.ed.ac.uk/
MSc in Financial Modelling and Optimization – Student Guide 27
9.5 Computer facilities
All students have a University email address that allows them to be contacted from anywhere in the world.
Students are required to check regularly for email sent to this address, since this is the formal means of
communication with students.
The University of Edinburgh provides free wireless internet (WiFi) in most buildings. You need to register
before you can use it with your wireless-enabled device. Further information will be distributed during
Induction Week.
Students should use the MSc computing room (5205). An introduction to computing facilities will be
provided during Induction Week when the full range of facilities will be explained. Any general
hardware/software problems should be reported to [email protected]
9.6 Travel
A shuttle bus runs at regular times between the George Square campus and the Kings Buildings campus of
the University of Edinburgh.
http://www.ed.ac.uk/staff-students/students/shuttlebus
There are several scheduled bus services which run from the city centre to the Kings Buildings campus:
The number 42 runs every 20 minutes from George IV Bridge to Kings Buildings.
Other buses (3, 7, 8, 31) run along a parallel route from North Bridge and Nicholson Street to Craigmillar Park
and Cameron Toll. From there it is a 5 minute walk to the Kings Buildings campus.
For more info about Lothian buses see http://lothianbuses.com/