Mathematical finance applies advanced mathematical methods to problems in modern finance — for example, pricing derivatives, modelling market behavior, and measuring and managing risk. The field blends theory and computation: on the theoretical side you study the probabilistic foundations of financial markets and consistent approaches to risk measurement; on the applied side you learn how to value financial products and quantify risk using numerical techniques. Core methodological areas include probability theory, statistics, numerical analysis, optimisation and real analysis, which together equip you to build and implement sophisticated financial models.
This Master of Science is a two-year, English-language programme that brings together mathematics, financial engineering, economics and statistics to prepare you for quantitative roles in the finance industry. It is especially suited to students with a Bachelor’s degree in Mathematics, but applicants holding degrees in Physics, Engineering or Economics are also considered provided they have a strong university-level mathematics background. Knowledge of German is not required to complete the programme or to be awarded the MSc.
The programme is embedded in an active research environment spanning the mathematics and economics departments, offering courses that deliberately bridge mathematical and economic methods for financial engineering. Teaching is provided by specialists from both disciplines, giving you a wide selection of modules and close ties to the more economics-focused MSc in Quantitative Finance. This interdisciplinary setting supports both academic research paths and practical careers in areas such as derivatives trading, quantitative risk management and financial modelling.
Admission and language requirements (summary)
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This master's programme requires a solid, 180 ECTS bachelor's background and a good academic record in mathematics. Applicants should be aware that the curriculum is highly mathematical; if your interests are more economics-oriented, you may prefer the Quantitative Finance master's instead (link below). Exact, legally binding entry rules are listed in §16 of the programme regulations (Fachprüfungsordnung — German).
Conditional admission may be granted in some cases: admitted students could be asked to complete additional bachelor-level mathematics courses during the first two semesters to make up for missing prerequisites.
Requirements (summary)
(If you are unfamiliar with the German grading scale: lower numbers denote better results — e.g., 1.0 is excellent; 4.0 is the minimum passing grade.)
Graduates are prepared for quantitatively demanding roles in the finance industry such as quantitative analyst (quant), derivatives trader, risk manager, model developer, or quantitative researcher in banks, hedge funds, asset management firms, insurance companies, fintech firms, and consulting firms. The programme’s focus on probability, statistics, numerics, optimisation and financial modelling equips students to value complex financial products, implement numerical procedures and quantify risk in practice.
The strong mathematical training also provides a solid foundation for academic careers or PhD studies in mathematical finance, applied mathematics, or related fields. International experience through internships or ERASMUS mobility further enhances employability and exposure to global financial markets.