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Masters Degrees (Stochastic Calculus)

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The programme provides graduates with strong mathematical skills, the necessary computational techniques and finance background relevant to subsequent employment in a sector of finance such as investment banks, hedge funds, insurance companies and the finance departments of large corporations where mathematics plays a key role. Read more
The programme provides graduates with strong mathematical skills, the necessary computational techniques and finance background relevant to subsequent employment in a sector of finance such as investment banks, hedge funds, insurance companies and the finance departments of large corporations where mathematics plays a key role.

The depth of the mathematics taught should enable graduates to pursue research careers in stochastic analysis, financial mathematics or other relevant areas.

The period October to June is devoted to lectures, tutorials and practical sessions comprising the core and optional modules. This is followed by a period of about 14 weeks devoted to an individual project.

Core study areas include measure theory and martingales, stochastic models in finance, stochastic calculus and theory of stochastic pricing and a research project.

Optional study areas include programming and numerical methods, regular and chaotic dynamics, financial economics, functional analysis, elements of PDEs, static and dynamic optimisation, asset management and derivatives, and corporate finance

See the website http://www.lboro.ac.uk/study/postgraduate/programmes/departments/mathematics/mathematical-finance/

Programme modules

Semester 1:
Compulsory Modules
- Introduction to Measure Theory and Martingales
- Stochastic Models in Finance

Optional Modules (choose two)
- Programming and Numerical Methods
- Regular and Chaotic Dynamics
- Financial Economics

Semester 2:
Compulsory Modules
- Stochastic Calculus and Theory of Stochastic Pricing
- Research Project

Optional Modules (choose three)
- Functional Analysis
- Elements of PDEs
- Static and Dynamic Optimisation
- Either Asset Management and Derivatives or Corporate Finance

Assessment

A combination of written examinations, reports, individual and group projects, and verbal presentations.

Careers and further study

This programme may lead to a wide range of employment within industry, the financial sectors, and research establishments. It may also provide an ideal background for postgraduate research in Stochastic Analysis, Probability Theory, Mathematical Finance and other relevant areas.

Scholarships and sponsorships

A number of part-fee studentships may be available to appropriately qualified international students.

Why choose mathematics at Loughborough?

Mathematics at Loughborough has a long history of innovation in teaching, and we have a firm research base with strengths in both pure and applied mathematics as well as mathematics education.

The Department comprises more than 34 academic staff, whose work is complemented and underpinned by senior visiting academics, research associates and a large support team.

The programmes on offer reflect our acknowledged strengths in pure and applied research in mathematics, and in some cases represent established collaborative training ventures with industrial partners.

- Mathematics Education Centre (MEC)
The Mathematics Education Centre (MEC) at Loughborough University is an internationally renowned centre of research, teaching, learning and support. It is a key player in many high-profile national initiatives.
With a growing number of academic staff and research students, the MEC provides a vibrant, supportive community with a wealth of experience upon which to draw.
We encourage inquiries from students who are interested in engaging in research into aspects of learning and teaching mathematics at Masters, PhD and Post Doc levels. Career prospects With 100% of our graduates in employment and/or further study six months after graduating, career prospects are excellent. Graduates go on to work with companies such as BAE Systems, Citigroup, Experian, GE Aviation, Mercedes Benz, Nuclear Labs USA and PwC.

- Career prospects
With 100% of our graduates in employment and/or further study six months after graduating, career prospects are excellent. Graduates
go on to work with companies such as BAE Systems, Citigroup, Experian, GE Aviation, Mercedes Benz, Nuclear Labs USA and PwC.

Find out how to apply here http://www.lboro.ac.uk/study/postgraduate/programmes/departments/mathematics/mathematical-finance/

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Visit our website for more information on fees, scholarships, postgraduate loans and other funding options to study Stochastic Processes. Read more

Visit our website for more information on fees, scholarships, postgraduate loans and other funding options to study Stochastic Processes: Theory and Application at Swansea University - 'Welsh University of the Year 2017' (Times and Sunday Times Good University Guide 2017).

The MRes in Stochastic Processes: Theory and Application is delivered through optional modules for the taught element followed by a large research project that contributes to the field in an explicit way, rather than merely applying existing knowledge.

The Department of Mathematics hosts one of the strongest research groups in probability theory, especially in stochastic processes, in the UK. The senior members of this group are world leaders in their fields.

The Department’s research groups include:

Algebra and Topology Group

Areas of interest include: Noncommutative geometry, Categorical methods in algebra and topology, Homotopy theory and homological algebra and others.

Analysis and Nonlinear Partial Differential Equations Group

Areas of interest include: Reaction-diffusion and reaction-diffusion-convection equations and systems, Navier–Stokes equations in fluid dynamic, Complexity in the calculus of variations and others.

Stochastic Analysis Group

Areas of interest include: Functional inequalities and applications, Lévy-type processes, Stochastic modelling of fractal, multi-fractal and multi-scale systems, Infinite dimensional stochastic analysis and others.

Mathematical Methods in Biology and Life Sciences Group

Areas of interest include: Mathematical pharmacology; heat and mass transfer models for plant cooling; modelling cellular signal transduction dynamics; mathematical oncology: multi-scale modelling of cancer growth, progression and therapies, and modelling-optimized delivery of multi-modality therapies; multi-scale analysis of individual-based models; spreading speeds and travelling waves in ecology; high performance computing.

Key Features

The Department of Mathematics hosts one of the strongest research groups in probability theory, especially in stochastic processes, in the UK. The senior members of this group are world leaders in their fields.

Course Content

As a student on the MRes Stochastic Processes programme you will study a range of topics for the taught element including:

Stochastic Calculus based on Brownian Motion

Levy processes and more general jump processes

The advanced Black-Scholes theory

Theory and numerics of parabolic differential equations

Java programming

The Stochastic Processes: Theory and Application course consists of a taught part (60 credits) and a research project (120 credits). Students will have a personal supervisor for their research project from the start of their studies.

Research projects could be of a theoretical mathematical nature, or they could be more applied, for example in financial mathematics or actuarial studies. Some of the research projects will be of an interdisciplinary character in collaboration with some of Swansea's world class engineers. For such projects it is likely that EPSRC funding would be available.

Facilities

The Aubrey Truman Reading Room, located in the centre of the Department of Mathematics, houses the departmental library and computers for student use. It is a popular venue for students to work independently on the regular example sheets set by their lecturers, and to discuss Mathematics together.

Our main university library, Information Services and Systems (ISS), contains a notably extensive collection of Mathematics books.

Careers

The ability to think rationally and to process data clearly and accurately are highly valued by employers. Mathematics graduates earn on average 50% more than most other graduates. The most popular areas are the actuarial profession, the financial sector, IT, computer programming and systems administration, and opportunities within business and industry where employers need mathematicians for research and development, statistical analysis, marketing and sales.

Some of our students have been employed by AXA, BA, Deutsche Bank, Shell Research, Health Authorities and Local Government. Teaching is another area where maths graduates will find plenty of career opportunities.

Research

The results of the Research Excellence Framework (REF) 2014 show that our research environment (how the Department supports research staff and students) and the impact of our research (its value to society) were both judged to be 100% world leading or internationally excellent.

All academic staff in Mathematics are active researchers and the department has a thriving research culture.



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The ICMA Centre’s financial engineering degree is highly respected by quantitative analysts and their employers. The credit crunch and subsequent events have emphasised the need to develop better pricing and better hedging models for all complex products. Read more

The ICMA Centre’s financial engineering degree is highly respected by quantitative analysts and their employers. The credit crunch and subsequent events have emphasised the need to develop better pricing and better hedging models for all complex products. The practical and quantitative skills that you will develop on the programme will equip you to meet this challenge.

Our compulsory modules provide a firm grounding in probability theory, stochastic calculus, derivatives pricing, quantitative and numerical methods, structuring products, volatility analysis, and the modelling of credit, equity, foreign exchange and interest rate derivatives. We also provide a thorough training in C++ and other programming tools.

Optional modules will allow you to focus on risk analysis, portfolio management, designing trading strategies or econometric analysis. This newly structured degree aims to further enhance the strong reputation of its precursor – the MSc in Financial Engineering and Quantitative Analysis, which was established back in 1999. A good background in mathematics is required for acceptance to this programme (see entry requirements below).

Highlights

  • A highly technical programme for those with strong mathematical skills
  • Gain knowledge of derivatives pricing tools and methods, as well as the use of programming languages like C++ and VBA
  • Designed with the support of industry practitioners to equip students with the skills and knowledge needed to succeed
  • Graduates are able to make an early contribution through the unique combination of hands-on, practical skills and the necessary underlying finance theory
  • Benefit from the combined expertise of both the ICMA Centre and the Department of Mathematics

Course structure

October – December: Part 1 Autumn Term

January: Part 1 Exams

January-April: Part 2 Spring Term

May – June: Part 2 Exams

June – August (12 month programme only): Part 3

August/Sep (12 month programme only): Part 3 Coursework deadlines

Course content

Part 1 compulsory modules

Part 2 compulsory modules

Part 2 optional modules

Students on the 9-month (12-month) programme can select 40 (20) credits from the following modules:

Part 3 optional modules

Optional modules

Students on the 12-months programme should take 20 credits from the following:

Learning options

Full-time: 9 months Full-time: 12 months

Students will be resident and undertake full-time study in the UK. Under both, the 9 and 12-month programmes students take compulsory and/or elective modules in Part 2.

The 12 month option involves taking an elective 20 credit module between July and August, which would also mean a 20 credit reduction in the number of taught modules taken in the spring term.

Careers

Many of our financial engineering graduates are now working as Quants in large London banks and other financial institutions. Others have pursued PhDs and have successful academic careers. Financial instruments are becoming ever more sophisticated, so graduates that understand complex modelling techniques are always in great demand. The high quantitative content of this programme opens many doors to a wide range of careers. You could structure and develop new debt or equity solutions to meet clients funding and hedging needs, or you could become a proprietary trader in exotic derivatives, or a software specialist or a quantitative analyst supporting the traders.

There are excellent opportunities on the buy-side, with hedge funds and investment institutions, as well as in investment banking and in software analytics. Opportunities in quantitative research, or with a rating agency, are among the many other attractive alternatives. Outside of mainstream banking and investment, you might also consider firms involved in commodity and energy trading, or the treasury divisions of leading multinationals and management consultancies.

Professional accreditation

ICMA Fixed Income Certificate

To obtain the requisite knowledge to pass the rigorous FIC exam, students are required to take the ICMA Centre Fixed Income Cash and Derivatives Markets module at Part 2. In order to receive the FIC certificate, students will need to register and pass the FIC exam through ICMA.



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This programme is ideal for those who wish to pursue a career in the financial services sectors of industry or government, particularly banking and central banking. Read more
This programme is ideal for those who wish to pursue a career in the financial services sectors of industry or government, particularly banking and central banking.

Our modules are underpinned by the latest research and best practice, having been designed to equip you with up-to-date and relevant knowledge across a number of areas, including banking, finance and research methods.

The range of optional modules on the programme will enable you to specialise in areas of economics, banking and finance that best suit your career ambitions and interests.

Core study areas include financial economics, the financial system, research communication, research methods, asset management and derivatives, corporate finance, banking and financial markets, and further quantitative techniques.

See the website http://www.lboro.ac.uk/study/postgraduate/programmes/departments/business-economics/banking-finance/

Programme modules

Semester 1:
Compulsory modules
- Financial Economics
- Research Methods
- The Financial System
- Research Communication (two-semester module)

Optional modules (choose one):
- Introduction to Measure Theory and Martingales
- Macroeconomic Analysis
- Microeconomic Analysis
- Stochastic Models in Finance

Semester 2:
Core modules
- Asset Management and Derivatives and/or Corporate Finance
- Banking and Financial Markets
- Further Quantitative Techniques for Finance and Economics
- Research Communication (two-semester module)

Optional modules (choose one):
- Applied Banking and Financial Modelling
- Comparative Banking
- Development Finance
- Stochastic Calculus and Theory of Stochastic Pricing

Summer period:
Students satisfy the research requirement by examined participation in research seminars. Subject to special conditions, students may submit a dissertation instead.

Assessment

Modules are assessed by a combination of examinations and assignments.

Careers and further study

Example destinations include:
- Bank of China – Senior Manager
- China Everbright Bank – Client Manager
- Deutsche Bank – Analyst
- KPMG – Audit Associate
- National Australia Bank – Senior Assistant in Research
- RBS – Financial Transfer Officer

Why choose business and economics at Loughborough?

Loughborough’s School of Business and Economics is a thriving forward-looking centre of education that aims to provide an exceptional learning experience.

Consistently ranked as a Top-10 UK business school by national league tables, our graduates are highly employable and enjoy starting salaries well above the national average.

The rich variety of postgraduate programmes we offer ranges from taught masters, MBA and doctoral programmes, to short courses and executive education, with subjects spanning Management, Marketing, Finance and Economics, Work Psychology, Business Analytics, International Crisis Management and Information Management. New for 2016, we are also launching two exciting new programmes in Human Resource Management. All of this contributes to a lively and supportive learning environment within the School.

- Internationally Accredited
The School of Business and Economics is one of less than 1% of business schools in the world to have achieved accreditation from all three major international accrediting bodies: The Association to Advance Collegiate Schools of Business (AACSB International), EQUIS accreditation from the European Foundation for Management Development (EFMD) and the Association of MBAs (AMBA).

- Career Prospects
Our graduates are in great demand. Over 94% of our postgraduate students were in work and/or further study six months after graduating.* As such, you will be equipped with skills and knowledge that will serve you well in your career or enable you to pursue further study and research.

*Source: DLHE

Find out how to apply here http://www.lboro.ac.uk/study/postgraduate/programmes/departments/business-economics/banking-finance/

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This MSc programme is run by Heriot-Watt University jointly with The University of Edinburgh. Upon graduation, you will receive a degree certificate bearing crests of both universities. Read more

This MSc programme is run by Heriot-Watt University jointly with The University of Edinburgh. Upon graduation, you will receive a degree certificate bearing crests of both universities.

It provides you with expertise in financial mathematics, including stochastic calculus, and a range of practical techniques for analysing financial markets. You will also learn quantitative skills for developing and managing risk that are in high demand.

Programme structure

This programme involves two taught semesters of compulsory and optional courses, followed by a dissertation project.

The teaching is shared between Heriot-Watt University (HW) and The University of Edinburgh (UoE). The timetable is arranged so that you spend three days a week at the Heriot-Watt Riccarton Campus and two days a week at University of Edinburgh’s King’s Buildings Campus.

The dissertation project is either carried out with an industrial partner (e.g. Aberdeen Asset Management, Moody’s Analytics and Lloyds Banking Group) or supervised by academics at Heriot-Watt University. The programme typically involves the following courses.

Compulsory courses:

  • Credit Risk Modelling (HW)
  • Derivatives Markets (HW)
  • Derivative Pricing and Financial Modelling (HW)
  • Discrete-Time Finance (UoE)
  • Financial Markets (HW)
  • Special Topics 1 (UoE)
  • Special Topics 2 (HW)
  • Stochastic Analysis in Finance (UoE)

Option courses:

  • Optimization Methods in Finance (UoE)
  • Financial Econometrics (HW)
  • Portfolio Theory (HW)
  • Numerical Techniques of Partial Differential Equations (HW)
  • Simulation (UoE)
  • Statistical Methods (HW)
  • Statistical Inference (HW)
  • Time Series Analysis (HW)
  • Stochastic Control and Dynamic Asset Allocation (UoE)

Work placements/internships

Adding depth to your learning, our work placement programme puts you at the heart of organisations such as Aberdeen Asset Management, Moody’s Analytics and Lloyds Banking Group.

Career opportunities

Graduates typically work in major financial institutions or continue their studies by joining PhD programmes.



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This programme provides an exciting opportunity to gain an insight into the pressing economic issues of our times and learn how to assess, adapt and apply modern macroeconomic and microeconomic models to shape organisational or government policy. Read more
This programme provides an exciting opportunity to gain an insight into the pressing economic issues of our times and learn how to assess, adapt and apply modern macroeconomic and microeconomic models to shape organisational or government policy.

Our programme is designed to equip you with the skills of a professional economist, for careers in government, international organisations and business.

You will learn to understand and model issues affecting financial markets through the lens of an economist, assessing both the microeconomic impacts for firms, as well as the macroeconomic implications for the global economy.

You will develop advanced theoretical and quantitative skills, highly sought after by employers in the financial services sectors of industry and government, as well as transferable skills that will be of value for a range of other sectors.

There is the opportunity to specialise in various fields of finance. All students register for the MSc in Economics and Finance. However, depending on the choice and availability of modules and dissertation topic, it is possible to graduate with an MSc in Financial Economics instead.

See the website http://www.lboro.ac.uk/study/postgraduate/programmes/departments/business-economics/economics-finance/

Programme modules

Semester 1:
Compulsory Modules
- Macroeconomics Analysis
- Microeconomics Analysis
- Research Communication (two-semester module)
- Research Methods

Optional Modules (choose one)
- Financial Economics
- Introduction to Measure Theory and Martingales
- Stochastic Models in Finance
- The Financial System

Semester 2:
Compulsory Modules
- Further Quantitative Techniques for Finance and Economics
- Research Communication (two semester module)

Optional Modules (choose three)
- Applied Banking and Financial Modelling
- Asset Management and Derivatives
- Banking and Financial Markets
- Comparative Banking
- Corporate Finance
- Credit Risk Management
- Development Finance
- Economics and Energy Policy
- Stochastic Calculus and Theory of Stochastic Pricing

Choice of Semester 2 modules may be restricted by the option selected in Semester 1. The School reserves the right to vary the list of optional modules.

Summer:
- Dissertation

Assessment

75% examination and 25% coursework for most modules.

Careers and further study

Well-trained, numerate economists are in high demand in every sector. This programme prepares you for a career as a professional economist in banking, education, finance, government or industry, and for higher awards by research.

Example destinations include:
- HSBC – Analyst;
- SSR Group (Sweden) – Associate FX Broker;
- Siemens – Finance Officer.

Scholarships and sponsorships

School awards may be available for high-calibre national and international students.

Why choose business and economics at Loughborough?

Loughborough’s School of Business and Economics is a thriving forward-looking centre of education that aims to provide an exceptional learning experience.

Consistently ranked as a Top-10 UK business school by national league tables, our graduates are highly employable and enjoy starting salaries well above the national average.

The rich variety of postgraduate programmes we offer ranges from taught masters, MBA and doctoral programmes, to short courses and executive education, with subjects spanning Management, Marketing, Finance and Economics, Work Psychology, Business Analytics, International Crisis Management and Information Management. New for 2016, we are also launching two exciting new programmes in Human Resource Management. All of this contributes to a lively and supportive learning environment within the School.

- Internationally Accredited
The School of Business and Economics is one of less than 1% of business schools in the world to have achieved accreditation from all three major international accrediting bodies: The Association to Advance Collegiate Schools of Business (AACSB International), EQUIS accreditation from the European Foundation for Management Development (EFMD) and the Association of MBAs (AMBA).

- Career Prospects
Our graduates are in great demand. Over 94% of our postgraduate students were in work and/or further study six months after graduating.* As such, you will be equipped with skills and knowledge that will serve you well in your career or enable you to pursue further study and research.

*Source: DLHE

Find out how to apply here http://www.lboro.ac.uk/study/postgraduate/programmes/departments/business-economics/economics-finance/

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This programme is especially suitable for students wishing to gain an in-depth understanding of the field of employment relations as preparation for a career in Employment Relations, Labour Relations or related fields. Read more
This programme is especially suitable for students wishing to gain an in-depth understanding of the field of employment relations as preparation for a career in Employment Relations, Labour Relations or related fields.

In addition to providing students with a thorough grounding in the theory and practice of Employment Relations it is anticipated that on completion of the programme students will also meet the knowledge requirements for chartered membership of the Chartered Institute for Personnel and Development (CIPD), the professional body for HR, Employment Relations and related professions in the UK.

Taught by academics with a strong track record in both Employment Relations related research and practical experience of Employment Relations and HRM, the programme focuses on developing critical thinking and analytical skills alongside of the more practical skills required for a career in Employment Relations and HR.

Core subjects include employment law, developing skills for business leadership, HRM theory and practice, employee engagement, motivation and voice, work design, organisational change and development, wellbeing and work, employment relations, strategic HRM, HRM research methods, and a dissertation.

See the website http://www.lboro.ac.uk/study/postgraduate/programmes/departments/business-economics/employmentrelationsandhrm/

Programme modules

Semester 1:
Compulsory Modules
- Financial Economics
- Research Methods
- Research Communication (two-semester module)
- The Financial System

Optional Modules:
- Economics of Money and Finance
- Macroeconomic Analysis
- Microeconomics Analysis
- Stochastic Models in Finance
- Introduction to Measure Theory and Martingales

Semester 2:
Compulsory Modules
- Asset Management and Derivatives, or Corporate Finance
- Banking and Financial Markets
- Further Quantitative Techniques for Finance and Economics
- Research Communication (two-semester module)

Optional Modules (choose one)
- Applied Banking and Financial Modelling
- Comparative Banking
- Credit Risk Management
- Development Finance
- Stochastic Calculus and Theory of Stochastic Pricing

The School reserves the right to vary the list of optional modules.

Summer:
Students satisfy the research requirement by examined participation in research seminars. Subject to special conditions, students may submit a dissertation instead.

Careers and further study

Most large organisations in both the public and private sectors employ employment relations specialists. The grounding in Employment Relations and UK employment law, in addition to a grounding in more general HRM, that the programme provides also means graduates will be well equipped to bring expertise to both specialist Employment Relations and more general HR and management roles in both private and public sector organisations.

Scholarships and sponsorships

School awards may be available for high-calibre national and international students.

Why choose business and economics at Loughborough?

Loughborough’s School of Business and Economics is a thriving forward-looking centre of education that aims to provide an exceptional learning experience.

Consistently ranked as a Top-10 UK business school by national league tables, our graduates are highly employable and enjoy starting salaries well above the national average.

The rich variety of postgraduate programmes we offer ranges from taught masters, MBA and doctoral programmes, to short courses and executive education, with subjects spanning Management, Marketing, Finance and Economics, Work Psychology, Business Analytics, International Crisis Management and Information Management. New for 2016, we are also launching two exciting new programmes in Human Resource Management. All of this contributes to a lively and supportive learning environment within the School.

- Internationally Accredited
The School of Business and Economics is one of less than 1% of business schools in the world to have achieved accreditation from all three major international accrediting bodies: The Association to Advance Collegiate Schools of Business (AACSB International), EQUIS accreditation from the European Foundation for Management Development (EFMD) and the Association of MBAs (AMBA).

- Career Prospects
Our graduates are in great demand. Over 94% of our postgraduate students were in work and/or further study six months after graduating.* As such, you will be equipped with skills and knowledge that will serve you well in your career or enable you to pursue further study and research.

*Source: DLHE

Find out how to apply here http://www.lboro.ac.uk/study/postgraduate/programmes/departments/business-economics/employmentrelationsandhrm/

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This one-year interdisciplinary MSc programme delivered by the Management School and the Faculty of Science and Technology is designed to give you in-depth knowledge of the problems and issues in the financial sector, and enables you to develop advanced analytical, problem-solving and technical skills. Read more

This one-year interdisciplinary MSc programme delivered by the Management School and the Faculty of Science and Technology is designed to give you in-depth knowledge of the problems and issues in the financial sector, and enables you to develop advanced analytical, problem-solving and technical skills.

The programme gives you access to expertise and facilities in different but related areas, and offers a wide range of potential topics for your summer dissertation. Optional modules also allow you to develop particular specialisms.

You will acquire skills in data and financial analysis, forecasting, optimisation, and computer programming. You’ll also become proficient in various statistical and econometrics packages.

Course Structure

You will study a range of modules as part of your course, some examples of which are listed below.

Core

Optional

Information contained on the website with respect to modules is correct at the time of publication, but changes may be necessary, for example as a result of student feedback, Professional Statutory and Regulatory Bodies' (PSRB) requirements, staff changes, and new research.

Learning Design

There is considerable variety in the teaching methods used on the MSc in Quantitative Finance. These include lectures and discussion sessions, groupwork, case studies, presentations and workshops on the use of statistical packages.

The style of teaching is often highly interactive, so you will be contributing actively to class discussions and engaging in groupwork with students from many different backgrounds. As some of the modules are shared with other faculties and Management School programmes such as Money, Banking and Finance, Management Science and Finance, you will also have an opportunity to work with Masters students from many different programmes.

Careers

The Careers Team at LUMS helps you shape your career plans and supports your job-hunting process in a variety of ways, including personalised one-to-one support and interactive workshops on areas such as career strategies, writing CVs and applications, interview skills, psychometric testing, what to expect at assessment centres, and online networking strategies.



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The course provides you with a strong mathematical background with the skills necessary to apply your expertise to the solution of real finance problems. … Read more

The course provides you with a strong mathematical background with the skills necessary to apply your expertise to the solution of real finance problems. You will develop skills so that you are able to formulate a well posed problem from a description in financial language, carry out relevant mathematical analysis, develop and implement an appropriate numerical scheme and present and interpret these results.

The course lays the foundation for further research in academia or for a career as a quantitative analyst in a financial or other institution.

You will take three introductory courses in the first week. The introductory courses cover partial differential equations, probability and statistics and MATLAB.

The first term focuses on compulsory core material, offering 80 hours of lectures and 40 hours of classes/practical. The core courses are as follows:

  • Stochastic Calculus
  • Financial Derivatives
  • Numerical Methods I - Monte-Carlo
  • Numerical Methods I - Finite Differences
  • Statistics and Financial Data Analysis
  • Financial Programming with C++ 1

In the second term, three streams are offered; each stream consists of 32 hours of lectures and 16 hours of classes/practical. The Tools stream is mandatory and you will also take either the Modelling stream or the Data-driven stream.

Modelling stream

  • Exotic derivatives
  • Stochastic volatility, jump diffusions
  • Commodities
  • Fixed income

Data-driven stream

  • Asset pricing and inefficiency of markets
  • Market microstructure and trading
  • Algorithmic trading
  • Advanced financial data analysis
  • Machine learning
  • Python

Tools stream

  • Numerical methods 2 - Monte Carlo methods
  • Numerical methods 2 - Finite differences
  • Calibration
  • Optimisation
  • Introduction to stochastic control

As well as the streams, the course includes a compulsory one-week (24 hours of lectures) intensive module on quantitative risk management which is to be held in/around the week before the third term.

The third term is dedicated to a dissertation project which is to be written on a topic chosen in consultation with your supervisor.

The second component of the financial computing course, Financial Computing with C++ 2 (24 hours of lectures and practicals in total), is held shortly after the third term.

The examination will consist of the following elements:

  • two written examinations and one take-home project, each of two hours' duration - the written examinations will cover the core courses in mathematical methods and numerical analysis
  • a written examination on the Modelling stream or a written examination and a computer-based practical examination on the Data-driven stream
  • a written examination assessing the Tools stream
  • a take-home project assessing the course in quantitative risk management
  • two practical examinations assessing two courses in financial computing with C++.

Graduate destinations

MSc graduates have been recruited by prominent investment banks and hedge funds. Many past students have also progressed to PhD-level studies at leading universities in Europe and elsewhere.



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The part-time MSc in Mathematical Finance aims to develop your mathematical modelling, data analysis and computational skills as applied to finance, without the need to take time out of your career to study. . Read more

The part-time MSc in Mathematical Finance aims to develop your mathematical modelling, data analysis and computational skills as applied to finance, without the need to take time out of your career to study. 

Incorporating concepts from applied and pure mathematics, statistics, computing and corporate finance, the course gives you a broad intellectual perspective and covers, from fundamentals to the latest research, the most important aspects of quantitative finance currently in use in the finance industry.

The course:

  • is delivered in a series of intensive week-long modules based in Oxford, so that time away from work is kept to a minimum; 
  • allows you to choose advanced modules based on, and write an academic dissertation in, an area of relevance to your career;
  • regularly updates its content to reflect the ever-changing industry and keep the material relevant;
  • is taught by a panel of world-leading academics and industrial practitioners; and

It is possible to exit the course early and be awarded the Postgraduate Diploma in Mathematical Finance, should work pressures intervene before it is possible to write a dissertation.

In order to complete the MSc each student must attend and be assessed on four core modules, three advanced modules and to submit a dissertation. Students are expected to take seven terms (28 months) to complete the course. 

Modules are taught through a series of lectures, practical sessions, guided reading, guest lectures and course assignments. 

The core modules cover the mathematical foundations of probability, statistics and partial differential equations, stochastic calculus and martingale theory, portfolio theory, the Black-Scholes model and extensions, numerical methods (finite differences and Monte Carlo), interest rate modelling, stochastic optimisation, exotic derivatives and stochastic volatility. MATLAB and Python are used as a practical computing languages.

Attendance at the four core modules is compulsory. For each module there is an assignment for which feedback and an indicative mark is given to assist you in improving your future performance. Assessment for these compulsory modules consists of two two-hour written examinations held in September of the first year.

Each of the advanced modules explores a key area in contemporary mathematical finance. The programme of advanced modules is published in July each year, and you will be asked to register your choice of three modules. Attendance at these three assessed modules is compulsory. Advanced modules will be assessed by short ‘special project’ reports, each submitted on a subject chosen by you that is covered in the module.

You will complete a dissertation on a topic chosen in consultation with your supervisor and the Course Director.



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This masters programme covers the advanced mathematics that has revolutionised finance since the works of Black, Scholes and Merton in the early seventies. Read more
This masters programme covers the advanced mathematics that has revolutionised finance since the works of Black, Scholes and Merton in the early seventies. This programme is aimed at those students who are passionate about mathematics and driven to make a career amongst the many and varied financial institutions throughout the world.

The programme, which is part of the Maxwell Institute for Mathematical Sciences, the joint research institute of mathematical sciences at the University of Edinburgh and Heriot-Watt University, provides an intensive training in the mathematical ideas and tools vital to the finance industry. By developing essential new mathematical concepts, especially in stochastic calculus, and placing the mathematics in the contexts of financial markets, derivative pricing and credit risk, the programme equips students for a range of exciting and potentially lucrative career opportunities.

The programme is delivered jointly between Heriot-Watt University and the University of Edinburgh. This means you will be enrolled as a student at both univerities and benefit from access to all the services and facilities each university has to offer.

Teaching is delivered by renowned academics from both Heriot-Watt and the University of Edinburgh - some classes will therefore take place at Heriot-Watt's campus and others at the University of Edinburgh campus. Successful students will graduate with a degree awarded jointly by Heriot-Watt and the University of Edinburgh and both names will appear on the graduation certificate.

Programme content

Core courses

Derivatives Markets
Derivative Pricing and Financial Modelling
Financial Markets
Discrete-Time Finance
Stochastic Analysis in finance
Credit Risk Modelling
Special Topics, including industry lead projects

Options

Statistical Methods
Financial Econometrics
Time Series Analysis
Modern Portfolio Theory
Optimisation Methods in Finance
Numerical Methods for PDEs
Simulation in Finance
Deterministic Optimisation Methods in Finance

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The School of Mathematics and Alliance Manchester Business School at the University of Manchester have combined their academic strength and practical expertise to deliver the  . Read more

The School of Mathematics and Alliance Manchester Business School at the University of Manchester have combined their academic strength and practical expertise to deliver the  MSc in Mathematical Finance  (UK 1 year), ensuring that students can experience both the mathematical and economic perspective of the subject.

This is also supported by invited lectures from senior staff members of leading financial institutions and outstanding mathematicians who are internationally recognised for contributions to Mathematical Finance. Past lectures include:

  • Professor M. Schweizer (ETH Zurich and Swiss Finance Institute) An overview of quadratic hedging and related topics
  • Professor H. Follmer (Humboldt University of Berlin) Monetary valuation of cash flows under Knightian uncertainty
  • Professor M. H. A. Davis (Imperial College London) Contagion models in credit risk

The course provides students with advanced knowledge and understanding of the main theoretical and applied concepts in Mathematical Finance delivered from a genuinely international and multi-cultural perspective with a current issues approach to teaching. The focus is on mathematical theory and modelling, drawing from the disciplines of probability theory, scientific computing and partial differential equations to derive relations between asset prices and interest rates, and to develop models for pricing, risk management and financial product development.

The finance industry demands recruits with strong quantitative skills and the course is intended to prepare students for careers in this area. The course provides training for those who seek a career in the finance industry specialising in derivative securities, investment, risk management and hedge funds. It also provides research skills for those who subsequently wish to pursue research and/or an academic career (e.g. university lecturer) or continue the study at doctoral level, particularly those wishing to pursue further/advanced studies in Mathematical Finance.

Coursework and assessment

Teaching is shared by the School of Mathematics and Alliance Manchester Business School, and delivered through lectures, case studies, seminars and group project-based work.

Course unit details

There are (i) eight course units to attend over two academic terms and (ii) a dissertation project to be completed in the summer term. Teaching of the course units is shared by the School of Mathematics and the Manchester Business School and delivered through lectures, case studies, seminars and group project-based work.

First term course units (autumn): Derivative Securities; Foundations of Finance Theory; Martingales with Applications to Finance; Stochastic Calculus.

Second term course units (spring): Brownian Motion; Computational Finance; Time Series Analysis and Forecasting in Finance; Stochastic Modelling in Finance.

Third term dissertation project (summer): In this term students will conduct an original study of a topic relating to the programme and write an MSc dissertation.

Additional fee information

The fees quoted above will be fully inclusive for the course tuition, administration and computational costs during your studies.

All fees for entry will be subject to yearly review and incremental rises per annum are also likely over the duration of courses lasting more than a year for UK/EU students (fees are typically fixed for International students, for the course duration at the year of entry). For general fees information please visit:  postgraduate fees . Always contact the department if you are unsure which fee applies to your qualification award and method of attendance.

Self-funded international applicants for this course will be required to pay a deposit of £1000 towards their tuition fees before a confirmation of acceptance for studies (CAS) is issued. This deposit will only be refunded if immigration permission is refused. We will notify you about how and when to make this payment.

Facilities

The School of Mathematics is one of the largest integrated departments of mathematical sciences in the UK with an outstanding reputation and superb  facilities .

Disability support

Practical support and advice for current students and applicants is available from the Disability Advisory and Support Service. Email: 

Career opportunities

The finance industry demands recruits with strong quantitative skills and the course is intended to prepare students for careers in this area. The course provides training for those who seek a career in the finance industry specialising in derivative securities, investment, risk management and hedge funds. It also provides research skills for those who subsequently wish to pursue research and/or an academic career (e.g. university lecturer) or continue the study at doctoral level, particularly those wishing to pursue further/advanced studies in Mathematical Finance.



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The Masters Programme aims to develop students’ mathematical and computational skills, and also those in financial modelling. The curriculum includes such subjects as probability theory, stochastic calculus, numerical methods, optimisation and control theory, stochastic finance, interest rate models and credit risk. Read more

The Masters Programme aims to develop students’ mathematical and computational skills, and also those in financial modelling.

The curriculum includes such subjects as probability theory, stochastic calculus, numerical methods, optimisation and control theory, stochastic finance, interest rate models and credit risk. It thus provides a thorough training in modern mathematical finance. In studying for our Masters, students are put in contact with the most important technical and quantitative topics of finance, both theoretical and applied, which range from mathematical background to the latest trends in the financial sector. Increasingly, the financial sector demands a Masters degree in Mathematical Finance from a prestigious university as a prerequisite for recruitment. Our students have often been recruited by prominente companies whilst still preparing their Masters’ thesis, at both a national and na international level. Amongst others, such companies include: EY, Mercer, KPMG, Deloitte, CGD, the Bank of Portugal, BNP Paribas, BPI, Banque Européenne d’Investissement (EIB), Banque Centrale Européenne, Lloyds Bank, and Santander bank. ISEG - Lisbon School of Economics and Management, of ULisboa, has well established departments of Mathematics, Economics and Management, which enables our students to benefit from the consequent synergies, and it provides excellent conditions for hosting the Masters in Mathematical Finance. This fact, together with the high quality of the academic staff of this Masters, all of whom hold PhDs from prestigious universities (such as the Stockholm School of Economics and the Universities of Oxford, Edinburgh and Barcelona), makes it unique in our country.



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MSc Risk Management & Financial Engineering. is a highly quantitative programme tailored to high calibre and technically-minded graduates wanting a deeper, more analytical study of risk management and financial engineering than is found in general finance programmes. Read more

MSc Risk Management & Financial Engineering is a highly quantitative programme tailored to high calibre and technically-minded graduates wanting a deeper, more analytical study of risk management and financial engineering than is found in general finance programmes.

The programme is accredited by the Professional Risk Managers’ International Association (PRMIA) and the School offers students on this programme the opportunity to attend PRMIA events, have access to its resources and receive considerable discounts on PRMIA exams.

The programme

In September you will study five foundation modules to introduce the tools of modern finance and enhance your career development skills. These include:

• Markets and Securities

• Financial Modelling

• Application of Matlab to Finance

• Data Structures and Algorithms using Python

• The Finance Industry

You’ll take eight core modules which are the backbone of our programme, providing you with a solid knowledge base in each subject area. Each module builds on previous experience while introducing new and challenging disciplines. These include:

• Empirical Finance: Methods and Applications

• Financial Engineering

• Financial Statistics

• Investments and Portfolio Management

• Risk Management and Valuation

• Stochastic Calculus

You will also receive training in Visual Basic for Applications (VBA), choose from a variety of electives and undertake a final project. The selection of electives include:

• Advanced Options Theory

• Credit Risk

• Advanced Financial Statistics

• Enterprise Risk Management

• Fixed Income Securities

• International Elective: Macro and Finance for Practitioners

• International Finance

• Insurance

• Structured Credit and Equity Products

• Private Equity and Venture Capital

• Wealth Management and Alternative Investments

• Topics in FinTech Innovation



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This programme provides you with advanced analytical training, quantitative knowledge and the practical skill sets required by modern financial institutions. Read more
This programme provides you with advanced analytical training, quantitative knowledge and the practical skill sets required by modern financial institutions. It aims to equip you with a solid education in financial analysis, risk management and financial engineering for a successful career in the finance and banking industries. It is heavily maths/quant weighted with advanced maths modules and programming modules designed with practical applications in mathematical/quant finance.

The programme will equip you with:
• intellectual skills and theoretical understandings appropriate for the study of financial mathematics and quantitative analysis at postgraduate level
• practical mathematics and object-oriented programming skills linking finance theories to real-world application
• skills in research, evaluation and analysis and the quantitative techniques to evaluate and interpret complex data and research literature
• skills and abilities to devise, plan and undertake complex research projects in the field of financial mathematics

Core Modules

• Advanced Modelling Methods in Finance
• Advanced Financial Econometrics
• Computational Methods in Finance
• Continuous Time Finance
• Advanced Statistics
• Stochastic Calculus
• Dissertation

Elective Modules

• Microeconomics for Financial Mathematics
• Quantitative Methods
• Numerical Computation in Finance
• Advanced Risk Management

What are my career prospects?

A graduate degree in financial mathematics gives you many employment opportunities in the business world such as in banks, investment firms, insurance companies, consulting services to financial industries, government regulators, business entities, and teaching and research at universities or research institution, and government entities.

NOTE: ICAEW ACCREDITATION IS STILL OUTSTANDING. APPLICATION IN PROGRESS.

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