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Department of Mathematics University of York - Online Programs Mastering Mathematical Finance Online Courses - Stochastic Calculus for Finance
Department of Mathematics University of York - Online Programs

Mastering Mathematical Finance Online Courses - Stochastic Calculus for Finance

York, United Kingdom

4 Months


Part time

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Aug 2024

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Distance learning


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The courses are based on 8 books from the "Mastering Mathematical Finance" (MMF) series published by Cambridge University Press. There are 8 individual courses - each covering the contents of one of the books.

Delivery is by means of one-to-one tutorials conducted via Skype by the authors and editors of the series, and regular coursework.

Who are the courses aimed at?

The courses are designed to meet the continuing professional development and training needs of:

  • Finance or IT professionals working in quantitative finance and risk management
  • Individuals seeking a career change, managers who need to keep abreast with progress in these fields
  • Prospective students who would like to prepare for entry to relevant postgraduate degree programmes

Pre-sessional course

(Pre-sessional course "Mathematics for Quantitative Finance" - This course is suitable for candidates who need to consolidate their mathematics background before embarking on some or all of the 8 courses. Cost - £1500)

Method of Delivery List of Courses

  • Each online course to be based on a book from the MMF series, with an additional set of exercises, and involves 10 rounds of activities culminating in 10 one-to-one online sessions. Each course takes approximately 4 - 8 months to complete.
  • Each of the 10 rounds consists of:
    • self-study based on the book,
    • problem-solving: solutions submitted and marked electronically,
    • model solutions to the problems attempted,
    • written feedback on the work submitted,
    • one-hour one-to-one online session via Skype with screen sharing, conducted by one of the authors of the MMF series, tailor-made for individual requirements, a combination of lectures and tutorials.
  • Additionally, each module to provide:
    • an online discussion forum,
    • email support,
    • final test.
  • Induction meeting via Skype to cover technical matters before the start of the first module (including help in using the software needed for online delivery). Each student will need a decent internet connection (broadband standard), a Windows or Mac computer and a Skype account. There is some additional free software to install such as the LyX mathematical editor.
  • Additional pre-sessional course available for delegates who need to revise or acquire relevant mathematical background.

About the Stochastic Calculus for Finance

This book focuses specifically on the key results in stochastic processes that have become essential for finance practitioners to understand. The authors study the Wiener process and Itô integrals in some detail, with a focus on results needed for the Black–Scholes option pricing model. After developing the required martingale properties of this process, the construction of the integral and the Itô formula (proved in detail) become the centrepiece, both for theory and applications, and to provide concrete examples of stochastic differential equations used in finance. Finally, proofs of the existence, uniqueness and the Markov property of solutions of (general) stochastic equations complete the book. Using careful exposition and detailed proofs, this book is a far more accessible introduction to Itô calculus than most texts. Students, practitioners and researchers will benefit from its rigorous, but unfussy, approach to technical issues. Solutions to the exercises are available online.

  • Written specifically at the Master's level by experienced lecturers, so readers can dive in immediately
  • Gives students confidence in Itô calculus
  • Solutions to exercises are available online

About the School


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